Definition of POLYTOPES. Meaning of POLYTOPES. Synonyms of POLYTOPES

Here you will find one or more explanations in English for the word POLYTOPES. Also in the bottom left of the page several parts of wikipedia pages related to the word POLYTOPES and, of course, POLYTOPES synonyms and on the right images related to the word POLYTOPES.

Definition of POLYTOPES

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Meaning of POLYTOPES from wikipedia

- In elementary geometry, a polytope is a geometric object with flat sides (faces). Polytopes are the generalization of three-dimensional polyhedra to any...
- There are six convex and ten star regular 4-polytopes, giving a total of sixteen. The convex regular 4-polytopes were first described by the Swiss mathematician...
- cells. The 4-polytopes were discovered by the Swiss mathematician Ludwig Schläfli before 1853. The two-dimensional analogue of a 4-polytope is a polygon...
- regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken...
- regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank. Only counting polytopes of...
- 4-dimensional cross-polytope also goes by the name hexadecachoron or 16-cell. It is one of the six convex regular 4-polytopes. These 4-polytopes were first described...
- Ziegler, Günter M. (1995). "Chapter 4: Steinitz' Theorem for 3-Polytopes". Lectures on Polytopes. Graduate Texts in Mathematics. Vol. 152. Springer-Verlag...
- dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are themselves regular polytopes of dimension...
- image, Coxeter, H.S.M.; Regular Polytopes, 3rd Edn, Dover (pbk), 1973, p. 114 Shephard, G.C.; "Regular complex polytopes", Proc. London Math. Soc. Series...
- M. (1947), Regular Polytopes, Methuen, p. 16 Barnette, David (1973), "A proof of the lower bound conjecture for convex polytopes", Pacific Journal of...