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.

66.4 Tags:

  • Spatial Reasoning
  • Mental Imagery
  • Geometric Transformation
  • Visual-Spatial Skills
  • Cognitive Processing