Hyperspace
Snazzy Hypercube What you will find on the pages linked to this one are a series of computer generated projections of the 6 regular polyhedra that exist in 4-space.

By the word "Hyperspace", I am referring to a Euclidean space of more than 3 dimensions. Can I stand in my office and point in the direction of the 4th dimension, No. But, I am fascinated by the possibility of visual understanding of something which is so foreign to my instinctive surroundings.

I was introduced to Hyperspace by David Brisson, a Professor at RISD, and an avid pursuer of the visual perception of n-dimensional space. I had already begun exploring the systematic development of form, (Forms that follow some set of rules) and Hyperspace was a natural extension of that interest.
The following pages depict the 6 regular figures in 4-space

Hypercube
analog of the cube. Hypercube Sections. Hypercube Envelopes.
Simplex analog of the tetrahedron. Simplex Envelopes.
Cross Polytope analog of the Octahedron. 16-Cell Envelopes
24-cell a figure without direct analog in lower or higher spaces. 24-Cell Envelopes
120-Cell analog of the Dodecahedron. 120-Cell Envelope
600-Cell analog of the Icosahedron. 600-Cell Envelope

Some other Hyperspace sites:

4-Space Rotation Java applett that rotates 4-space figures.
3 & 4-Space Rotation This Java applett rotates all the regular 3-D and 4-D polytopes.
Flatland A charming book introducing the subject.
Geometry Junkyard Some heavy duty thoughts on this subject.

Feedback: eswab@adelphia.net


Last revised: 09/28/2002