Development of HyperCube

FUKUDA Hiroshi

HyperSpace 7, No.1 33-43 (1998)


Cube in three dimensions has six faces. Thus, its development consists of six faces. You can easily verify that the cube has 11 different figures of development.

In four dimensions (4D) world, cube (called hyper-cube) has eight cubic cells that correspond to faces in 3D cube, and its development consists of eight cubes. The following links contain 261 different developments of hyper-cube in 4D by the Virtual Reality Modeling Language (VRLM). You can construct 4D hyper-cubes by meeting the faces of same color of eight cubic cells.