To me every hour of the light and dark is a miracle,
Every cubic inch of space is a miracle.Walt Whitman, Miracles
The tests below constitute a series designed to assess your ability to identify whether a pair of simple, three-dimensional shapes built from cubes ("polycubes") are identical except for rotation in three-dimensional space.
The task is made more difficult by the fact that parts of the shapes may be blocked from view by other parts.
Each test has 10 items. In each item, you will be given four pairs of shapes. Within an item, the first shape of every pair is the same across all four pairs, while the second shapes are all different. The task is to select all second shapes that are identical to the first shape except for rotation in three-dimensional space. In each item, the correct answer includes at least one shape but does not include all four shapes.
These tests are an assessment either of the ability to rotate a three-dimensional object in one's mind (the "synthetic" approach), or to decode spatial relationships in an imagined three-dimensional space and respond to questions about those spatial relationships (the "analytic" approach). In either case, these tests require some amount of spatial ability, either in the subdomain of visualization or in the subdomain of spatial relations.
The item type found in these tests is frequently considered the fundamental measure of spatial ability. In particular, items like these were used by Steven G. Vandenberg and Allan R. Kuse in their Mental Rotations Test (MRT), continuing the reasearch into mental rotation by Roger Shepard and Jacqueline Metzler.