66 Mental Rotation Tasks
Spatial Reasoning
Mental Imagery
Geometric Transformation
Visual-Spatial Skills
Cognitive Processing
66.1 Description:
This task involves mentally rotating objects or shapes and predicting their appearance from different angles. It evaluates the model’s ability to manipulate spatial information mentally.
66.2 Modality:
Text only
66.3 Examples:
66.3.1 Example 1:
Input:
Imagine a cube with different symbols on each face: a star, a circle, a triangle, a square, a heart, and a diamond. If the star is on top and the circle is facing you, what symbol would be on the bottom face?
Output:
The diamond would be on the bottom face. In a cube, opposite faces are always 180 degrees apart. Since the star is on top, its opposite face (the bottom) would have the diamond.
66.3.2 Example 2:
Input:
Picture the letter 'F' in your mind. If you rotate it 90 degrees clockwise, then flip it horizontally, what would it look like?
Output:
After rotating 'F' 90 degrees clockwise, it would look like '⊥'. After flipping it horizontally, it would appear as '⊢'. The vertical line would be on the left, with the two horizontal lines extending to the right, the longer one at the top and the shorter one in the middle.