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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 |
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| 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. |
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Feedback: eswab@adelphia.net |
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Last revised: 09/28/2002 |