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Uniform Polytopes in Four Dimensions
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| George Olshevsky | |
| "Polychoron" (plural: polychora) is Olshevsky's term for a four-dimensional polytope, analogous to polygon in two dimensions and polyhedron in three. He includes descriptions and numerical information for all the convex uniform polychora in finite and infinite families: Coxeter-Dynkin graphs, names, symmetry groups, Schlaefli symbol(s), number of elements of each dimension, and vertex figures. Nomenclature; uniform polychora based on the regular pentachoron; the hypercube and regular hexakaidecachoron; the regular icosikaitetrachoron; the regular hecatonkaiicosachoron and regular hexacosichoron; anomalous non-Wythoffian polychoron; prismatic polychora; and uniform polychora derived from hyperspherical tetrahedron B4. Also links to Olshevsky's other two web sites (dinosaurs and custom-built polyhedron models) and to sites with illustrations. | |
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| Levels: | College, Research |
| Languages: | English |
| Resource Types: | Dictionaries, Glossaries, Thesauri |
| Math Topics: | Higher-Dimensional Geometry, Symmetry/Tessellations |
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