Hyperspace |
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What you will find on the links from this page are a series of computer generated projections of
the 6 regular polyhedra that exist in 4-space. Hyperspace, in this context, means a Euclidean space of more than 3 dimensions. If you ask, "Can I stand in my office and point in the direction of the 4th dimension?" No, but I am fascinated by the possibility of visualizing something which is so foreign to my experience. The projection of 4-space figures into 3 space, is a natural extension of my desire to understand 3-space. I was introduced to Hyperspace by David Brisson, a Professor at RISD. David was convinced that he could visualize n-dimensional space. |
The following pages depict the 6 regular figures in 4-spaceHypercube 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.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 |