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Regular Polytopes (1948)

von H. S. M. Coxeter

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Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.… (mehr)

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I bought this from an interest in pattern and polyhedra as it is an established classic, delving into higher dimensions. I can't deny that it is classic and definitive, but it is very much a textbook aimed at those doing maths as a career or postgraduate study. For my purposes, half an hour on wikipedia was more fruitful to get a practical on-hands overview of higher dimensional polytopes. (

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rrmmff2000 | Apr 24, 2016 |

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Ursprüngliches Erscheinungsdatum

1948

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Erste Worte

Die Informationen stammen von der englischen "Wissenswertes"-Seite. Ändern, um den Eintrag der eigenen Sprache anzupassen.

A polytope is a geometrical figure bounded by portions of lines, planes, or hyperplanes; e.g., in two dimensions it is a polygon, in three a polyhedron.

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▾Literaturhinweise

Literaturhinweise zu diesem Werk aus externen Quellen.

Wikipedia auf Englisch (187)

16-cell honeycomb honeycomb

2 22 honeycomb

2 51 honeycomb

24-cell honeycomb

24-cell honeycomb honeycomb

5-demicubic honeycomb

5-orthoplex honeycomb

7-demicubic honeycomb

8-cube

8-cubic honeycomb

8-demicube

8-demicubic honeycomb

8-simplex

9-cube

9-simplex

Alternated hexagonal tiling honeycomb

Alternated hypercubic honeycomb

Alternation (geometry)

Apeirogon

Bitruncated 24-cell honeycomb

Bitruncation

Cantellated 24-cell honeycomb

Cantellated 24-cells

Cantellated tesseract

Cantellation (geometry)

Cantitruncated 24-cell honeycomb

Compound of five cubes

Compound of five octahedra

Compound of five tetrahedra

Compound of ten tetrahedra

Coxeter–Dynkin diagram

Cubic honeycomb

Cubic honeycomb honeycomb

Cubic-icosahedral honeycomb

Cubic-octahedral honeycomb

Cubic-square tiling honeycomb

Cubic-triangular tiling honeycomb

Cyclotruncated simplectic honeycomb

Dodecahedral-icosahedral honeycomb

E8 lattice

E9 honeycomb

Edmund Hess

Elongated dodecahedron

Eutactic star

Excavated dodecahedron

Expanded cuboctahedron

Expanded icosidodecahedron

Expansion (geometry)

Final stellation of the icosahedron

Grand stellated 120-cell

Great 120-cell

Great 120-cell honeycomb

Great grand 120-cell

Great grand stellated 120-cell

Great icosahedral 120-cell

Great icosahedron

Great stellated 120-cell

Great triambic icosahedron

Heptagonal tiling honeycomb

Hexagonal tiling

Hexagonal tiling honeycomb

Hexagonal tiling-triangular tiling honeycomb

Hosohedron

Hyperbolic tetrahedral-octahedral honeycomb

Hypercubic honeycomb

Hyperrectangle

Icosahedral 120-cell

Icosahedral honeycomb

Midsphere

Monogon

Octahedral-dodecahedral honeycomb

Octahedral-hexagonal tiling honeycomb

Omnitruncated simplectic honeycomb

Omnitruncated tesseractic honeycomb

Omnitruncation

Order-4 120-cell honeycomb

Order-4 24-cell honeycomb

Order-4 24-cell honeycomb honeycomb

Order-4 dodecahedral honeycomb

Order-4 hexagonal tiling honeycomb

Order-4 octahedral honeycomb

Order-4 square tiling honeycomb

Order-5 120-cell honeycomb

Order-5 5-cell honeycomb

Order-5 cubic honeycomb

Order-5 dodecahedral honeycomb

Order-5 hexagonal tiling honeycomb

Order-5 icosahedral 120-cell honeycomb

Order-5 tesseractic honeycomb

Order-6 cubic honeycomb

Order-6 dodecahedral honeycomb

Order-6 hexagonal tiling honeycomb

Order-6 tetrahedral honeycomb

Paracompact uniform honeycombs

Pentagonal polytope

Pentagrammic-order 600-cell honeycomb

Polygram (geometry)

Quarter hypercubic honeycomb

Quasiregular polyhedron

Rectification (geometry)

Rectified 24-cell

Rectified 24-cell honeycomb

Rectified truncated cube

Rectified truncated dodecahedron

Rectified truncated icosahedron

Rectified truncated octahedron

Rectified truncated tetrahedron

Regular 4-polytope

Regular Polytopes (book)

Regular skew apeirohedron

Regular skew polyhedron

Reinhold Hoppe

Runcicantellated 24-cell honeycomb

Runcinated 16-cell honeycomb

Runcinated 24-cell honeycomb

Runcinated tesseracts

Small stellated 120-cell

Small stellated 120-cell honeycomb

Small triambic icosahedron

Snub (geometry)

Snub 24-cell honeycomb

Square tiling

Square tiling honeycomb

Star polyhedron

Stellated octahedron

Stericantellated tesseractic honeycomb

Stericantitruncated 16-cell honeycomb

Stericantitruncated tesseractic honeycomb

Stericated 24-cell honeycomb

Steriruncitruncated tesseractic honeycomb

Steritruncated 16-cell honeycomb

Table of polyhedron dihedral angles

Template:Cubic cell tessellations

Template:Tetrahedral vertex figure tessellations

Tesseractic honeycomb

Tesseractic honeycomb honeycomb

Tetrahedral-cubic honeycomb

Tetrahedral-dodecahedral honeycomb

Tetrahedral-icosahedral honeycomb

Tetrahedral-square tiling honeycomb

Tetrahedral-triangular tiling honeycomb

Thorold Gosset

Triangular tiling

Triangular tiling honeycomb

Trihexagonal tiling

Truncated 24-cell honeycomb

Truncated rhombicosidodecahedron

Truncated rhombicuboctahedron

Truncated tesseract

Truncation (geometry)

Uniform honeycombs in hyperbolic space

Wythoff construction

Wythoff symbol

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▾Buchbeschreibungen

Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.

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