Imaginary Cube

Imaginary Cube

Hideki Tsuiki
Kyoto University


Imagine an object that has square silhouettes in three orthogonal directions. How many shapes can you guess?

A cube is an answer, of course. A regular tetrahedron also has this property.

We call such an object an Imaginary Cube because it let you imagine a cube determined by the three silhouettes. In my investigation on imaginary cubes, I encountered imaginary cubes with beautiful properties, and I designed puzzles and created some sculptures.

Please enjoy!