[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

Your task is to determine the angle of rotation around the y-axis in degrees.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

Your task is to determine the angle of rotation around the y-axis in degrees.

The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.
- The reference point (0,0,0) is located at the object's geometric center.

For rotations, the perspective is looking down the positive axis towards the origin.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

CRITICAL STEPS for finding the rotation angle:

1. Analyze Object Structure: Examine both views thoroughly to understand the object's form.

2. Evaluate ALL y-Axis Options: You must consider every angle in this list: [45, 315].
   - Visualize Rotation: For each angle, mentally rotate the object around the y-axis.
   - Compare to Target View: Check how each visualized rotation matches the second view.
   - Complete Evaluation First: Do not choose an angle until all in [45, 315] are tested.

3. Select Best Match: After reviewing all possibilities, pick the angle that correctly transforms the first view to the second.

4. Final Verification: Mentally apply your chosen rotation one last time to confirm it perfectly matches the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

This work employs a 3D Cartesian coordinate frame where:
- The horizontal axis (X) increases positively to the right.
- The vertical axis (Y) increases positively upwards.
- The depth axis (Z) increases positively coming out towards the observer.
- The reference point (0,0,0) is located at the object's geometric center.

For rotations, the perspective is looking down the positive axis towards the origin.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

Your task is to determine the angle of rotation around the y-axis in degrees.

Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Your task is to determine the angle of rotation around the y-axis in degrees.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

The 3D Cartesian coordinate setup is:
- x-axis: Runs horizontally, positive to the right.
- y-axis: Runs vertically, positive going up.
- z-axis: Runs perpendicular to the screen, positive towards the viewer.
- The origin (0,0,0) is positioned at the geometric center of the 3D object mesh.

To visualize rotations, imagine looking along the positive direction of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.We are using a 3D Cartesian system oriented as follows:
- The positive x-direction points right.
- The positive y-direction points up.
- The positive z-direction points out of the screen towards you.
- The coordinate system's origin (0,0,0) coincides with the geometric center of the 3D object.

When discussing axis rotations, the viewpoint is assumed to be looking along the axis's positive direction.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.The angle of rotation must be one of these specific values: [45, 315] degrees. Positive angles denote clockwise rotation when viewed along the axis's positive direction.

Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The spatial reference frame utilized herein consists of:
- An x-axis oriented horizontally (positive rightward)
- A y-axis oriented vertically (positive upward)
- A z-axis oriented perpendicular to the viewing plane (positive outward)
- An origin (0,0,0) that is coincident with the geometric centroid of the object mesh.

Rotational transformations are visualized from the perspective of an observer positioned along the positive direction of the axis in question.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Follow this methodical process to identify the correct rotation:

1. Understand the Object: Start by carefully studying the object's features in both views to grasp its 3D shape.

2. Systematic Angle Check (y-axis): It's essential to evaluate the full set of potential rotation angles: [45, 315].
   - For every angle listed: Imagine rotating the object around the y-axis by that specific amount.
   - Match Visualization to Reality: Compare your mental image after rotation with the provided second view.
   - Avoid Premature Decisions: Ensure you have mentally tested *all* angles before making a selection.

3. Determine the Correct Angle: Once all angles ([45, 315]) have been considered, choose the one rotation that best explains the change between views.

4. Confirm Your Answer: As a final check, mentally perform the chosen rotation again to ensure it accurately produces the second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

Let's define our 3D space like this:
- The x-axis goes left to right (right is positive)
- The y-axis goes bottom to top (up is positive)
- The z-axis comes from the screen toward you (out is positive)
- The zero point (0,0,0) sits exactly at the center of mass of the 3D object.

When thinking about rotations, imagine you're looking along the axis from its positive end.

Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.Your task is to determine the angle of rotation around the y-axis in degrees.

### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

Rotation is constrained to these angles: [45, 315] degrees. A positive angle value corresponds to a clockwise turn relative to an observer looking along the positive direction of the rotation axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 315


[User]
<image>
<image>
<image>
<image>
<image>
<image>
I'm showing you 6 images of 3D objects. For each example or test case, two images represent the same object before and after rotation.
### EXAMPLES OF ROTATION ###

Example 1: Image 1 shows the initial view and Image 2 shows the object after a 45 degree rotation around the y-axis.

Example 2: Image 3 shows the initial view and Image 4 shows the object after a 315 degree rotation around the y-axis.

The coordinate system for this task is defined as:
- X-axis: Horizontal, with positive values increasing rightward
- Y-axis: Vertical, with positive values increasing upward
- Z-axis: Depth, with positive values increasing toward the viewer
- The origin point (0,0,0) is established at the centroid of the 3D mesh geometry.

When analyzing rotations, consider the viewpoint from the positive end of the rotation axis.

Permitted rotation angles are limited to these values: [45, 315]. The convention used is: a positive angle signifies rotation in the clockwise direction, assuming a viewpoint looking along the positive axis.

Your task is to determine the angle of rotation around the y-axis in degrees.

### YOUR TASK ###
Now, determine the angle of rotation around the y-axis from Image 5 to Image 6.
Based on the example provided, analyze the rotation carefully.

Use this procedure to pinpoint the rotation angle accurately:

1. Initial Analysis: Compare the first and second views to understand the object's spatial configuration.

2. Exhaustive y-Axis Evaluation: You are required to assess each of these candidate rotation angles: [45, 315].
   - Test Each Angle: Mentally simulate rotating the object around the y-axis by each angle in the list.
   - Cross-Reference Views: Evaluate how closely each simulated rotation aligns with the actual second view.
   - Full Assessment Required: Withhold judgment until every single angle from [45, 315] has been assessed.

3. Identify the Matching Rotation: After assessing all options, select the angle that precisely transforms the first view into the second.

4. Validate Your Choice: Double-check by mentally applying the selected rotation to confirm it yields the exact second view.

IMPORTANT: You must ONLY output the rotation angle as a number from this list: [45, 315]. Your output should contain ONLY the number. Do NOT include any reasoning, explanation, or additional text - ONLY the number.

Example of correct output format: 30

Incorrect output formats:
"I think it's 30 degrees"
"The rotation angle is 30"
"30 degrees"

[Assistant] 45