About the “Imaginary Cube”
Imagine a solid that, when lit from three orthogonal directions, casts square shadows like those shown. What shape could that be?
A cube is one possible answer. A regular tetrahedron can satisfy this condition as well. We call these shapes “Imaginary Cubes” because three square shadows suggest a cube.
This site presents our research on imaginary cubes and fractal imaginary cubes, as well as a puzzle and three-dimensional sculptures developed from our research.
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Updates
The Imaginary Cube site has been redesigned.
Released the STL file for 3D printing.