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Regular polytopes

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2 Reviews
Methuen, 1948 - Polytopes - 321 pages

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Review: Regular Polytopes

User Review  - James Jennings - Goodreads

A rather dry and dense mathematics text, with lots of information not available in any other single source. I loved it. Read full review

Review: Regular Polytopes

User Review  - Ted - Goodreads

Great book on multidimensional geometry! Read full review

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Contents

Regular quasiregular and rhombic solids
3
REGULAR AND QUASIREGULAR SOLIDS
15
Some equilateral zonohedra
29

23 other sections not shown

Other editions - View all

Regular Polytopes
Regular Polytopes
Harold Scott MacDonald Coxeter
Limited preview - 1973
Regular polytopes
Regular polytopes
Harold Scott Macdonald Coxeter
Snippet view - 1948
Regular polytopes
Regular polytopes
Harold Scott Macdonald Coxeter
Snippet view - 1963

Common terms and phrases

a-form analogous belong bounding hyperplanes branches cells centre circum-radius compound congruent transformation convex coordinates corresponding cos2 Coxeter cross polytope cube cuboctahedron defined denote dihedral angle direct dodecahedron edges elements equal equation equatorial polygon Euclidean simplexes Euler's Formula eutactic faces fact finite groups follows four dimensions four-dimensional fundamental region Gosset graph half-turn hedron Hence hyperplanes icosahedron infinite inscribed integers invariant ir/p lattice lines measure polytope mid-points modified Petrie polygon nodes number of dimensions obtain octahedra octahedron orthoscheme P0 Pi parallel pentagonal permutations perpendicular Petrie polygon planes of symmetry Platonic solids polyhedra polytope or honeycomb positive semidefinite projection pyramids reciprocal reflections regular polyhedron regular polytope rhombs Ri R2 rotation group Schlafli symbol Schoute sections segments sides skew polygon space sphere spherical simplex star star-polytopes stellated subgroup symmetry group tetrahedron theorem triangles truncation vectors vertex figure w-dimensional zonohedron

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Bibliographic information

QR code for Regular polytopes
TitleRegular polytopes
AuthorHarold Scott Macdonald Coxeter
Edition2
PublisherMethuen, 1948
Original fromthe University of California
Digitized24 Nov 2008
Length321 pages
SubjectsPolytopes
  
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