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Abstract Regular Polytopes (Encyclopedia of Mathematics and its Applications) by Peter Mcmullen, Egon Schulte Hardcover, 576 Pages, Published 2002 by Cambridge

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In mathematics, an abstract polytope, informally speaking, is a structure which considers only the combinatorial properties of a traditional polytope, ignoring many

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4.4.4 Symmetry groups of regular polytopes Coxeter groups nd applications in many areas of mathematics. Peter McMullen , Anthony C

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4-polytope. Graphs of six convex regular 4-polytopes {3,3,3} {3,3,4} {4,3,3} 5-cell Pentatope 4-simplex: 16-cell Orthoplex 4-orthoplex: 8-cell Tesseract

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**Regular 4- polytope - wikipedia, the free**

In mathematics, a regular 4-polytope is a regular four-dimensional polytope. They are the four-dimensional analogs of the regular polyhedra in three dimensions and

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**Regular polytopes definition of regular polytopes**

For example, there are six regular polytopes in four-dimensions that are the analogues of the Platonic Solids.

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Abstract regular polytopes / Peter McMullen, Egon Schulte. p. cm. (Encyclopedia of mathematics and its applications) Includes bibliographical references and index.

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APA Citation. McMullen, Peter,Schulte, Egon. (2002) Abstract regular polytopes /Cambridge ; Cambridge University Press, MLA Citation

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**Convex regular 4- polytope - simple english**

In mathematics, a convex regular 4-polytope (or polychoron) is 4-dimensional polytope which is both regular and convex. These are the four-dimensional analogs of the

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Abstract Regular Polytopes Peter McMullen ENCYCLOPEDIA OF MATHEMATICS AND ITS ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS Abstract Regular Polytopes

**Regular polytope definition of regular polytope**

regular polytope [ reg y l r p l t p] (mathematics) A geometric object in multidimensional Euclidean space that is analogous to the regular polygons

**Regular polytope - wikipedia, the free**

In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j

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**6- polytope - wikipedia, the free encyclopedia**

A semi-regular 6-polytope contains two or more types of regular 4-polytope facets. There is only one such figure, called 2 21. A uniform 6-polytope has a symmetry

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Algebraic groups a. From Wikipedia, the free encyclopedia Contents 1 Adelic algebraic group 1 1.1 Ideles

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**Abstract regular polytopes by peter mcmullen**

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra.

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**Polytope - wikipedia, the free encyclopedia**

A regular polytope is the most highly symmetrical kind, with the various groups of elements being transitive on the symmetries of the polytope, such that the polytope

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**List of regular polytopes and compounds -**

This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces. The Schl fli symbol describes every regular