In seven-dimensional geometry , a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations (pentellation ) of the regular 7-cube . There are 32 unique pentellations of the 7-cube with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-orthoplex .
7-cube Pentellated 7-cube Pentitruncated 7-cube Penticantellated 7-cube Penticantitruncated 7-cube Pentiruncinated 7-cube Pentiruncitruncated 7-cube Pentiruncicantellated 7-cube Pentiruncicantitruncated 7-cube Pentistericated 7-cube Pentisteritruncated 7-cube Pentistericantellated 7-cube Pentistericantitruncated 7-cube Pentisteriruncinated 7-cube Pentisteriruncitruncated 7-cube Pentisteriruncicantellated 7-cube Pentisteriruncicantitruncated 7-cube
Pentellated 7-cube edit Alternate names edit Small terated hepteract (acronym:) (Jonathan Bowers)[1] Images edit Pentitruncated 7-cube edit Alternate names edit Teritruncated hepteract (acronym: ) (Jonathan Bowers)[2] Images edit Penticantellated 7-cube edit Alternate names edit Terirhombated hepteract (acronym: ) (Jonathan Bowers)[3] Images edit Penticantitruncated 7-cube edit Alternate names edit Terigreatorhombated hepteract (acronym: ) (Jonathan Bowers)[4]
Pentiruncinated 7-cube edit Alternate names edit Teriprismated hepteract (acronym: ) (Jonathan Bowers)[5] Images edit Pentiruncitruncated 7-cube edit Alternate names edit Teriprismatotruncated hepteract (acronym: ) (Jonathan Bowers)[6] Images edit Pentiruncicantellated 7-cube edit Alternate names edit Teriprismatorhombated hepteract (acronym: ) (Jonathan Bowers)[7] Images edit Pentiruncicantitruncated 7-cube edit Alternate names edit Terigreatoprismated hepteract (acronym: ) (Jonathan Bowers)[8] Images edit orthographic projections Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4 Graph too complex Dihedral symmetry [14] [12] [10] Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3 Graph Dihedral symmetry [8] [6] [4] Coxeter plane A5 A3 Graph too complex too complex Dihedral symmetry [6] [4]
Pentistericated 7-cube edit Alternate names edit Tericellated hepteract (acronym: ) (Jonathan Bowers)[9] Images edit Pentisteritruncated 7-cube edit Alternate names edit Tericellitruncated hepteract (acronym: ) (Jonathan Bowers)[10] Images edit Pentistericantellated 7-cube edit Alternate names edit Tericellirhombated hepteract (acronym: ) (Jonathan Bowers)[11] Images edit Pentistericantitruncated 7-cube edit Alternate names edit Tericelligreatorhombated hepteract (acronym: ) (Jonathan Bowers)[12] Images edit Pentisteriruncinated 7-cube edit Alternate names edit Bipenticantitruncated 7-cube as t1,2,3,6 {4,35 } Tericelliprismated hepteract (acronym: ) (Jonathan Bowers)[13] Images edit Pentisteriruncitruncated 7-cube edit Alternate names edit Tericelliprismatotruncated hepteract (acronym: ) (Jonathan Bowers)[14] Images edit Pentisteriruncicantellated 7-cube edit Alternate names edit Bipentiruncicantitruncated 7-cube as t1,2,3,4,6 {4,35 } Tericelliprismatorhombated hepteract (acronym: ) (Jonathan Bowers)[15] Images edit Pentisteriruncicantitruncated 7-cube edit Alternate names edit Great terated hepteract (acronym:) (Jonathan Bowers)[16] Images edit Related polytopes edit Notes edit ^ Klitzing, (x3o3o3o3o3x4o - ) ^ Klitzing, (x3x3o3o3o3x4o - ) ^ Klitzing, (x3o3x3o3o3x4o - ) ^ Klitzing, (x3x3x3oxo3x4o - ) ^ Klitzing, (x3o3o3x3o3x4o - ) ^ Klitzing, (x3x3o3x3o3x4o - ) ^ Klitzing, (x3o3x3x3o3x4o - ) ^ Klitzing, (x3x3x3x3o3x4o - ) ^ Klitzing, (x3o3o3o3x3x4o - ) ^ Klitzing, (x3x3o3o3x3x4o - ) ^ Klitzing, (x3o3x3o3x3x4o - ) ^ Klitzing, (x3x3x3o3x3x4o - ) ^ Klitzing, (x3o3o3x3x3x4o - ) ^ Klitzing, (x3x3o3x3x3x4o - ) ^ Klitzing, (x3o3x3x3x3x4o - ) ^ Klitzing, (x3x3x3x3x3x4o - ) References edit H.S.M. Coxeter : H.S.M. Coxeter, Regular Polytopes , 3rd Edition, Dover New York, 1973 Kaleidoscopes: Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 Wiley: Kaleidoscopes: Selected Writings of H.S.M. Coxeter (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I , [Math. Zeit. 46 (1940) 380-407, MR 2,10] (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II , [Math. Zeit. 188 (1985) 559-591] (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III , [Math. Zeit. 200 (1988) 3-45] Norman Johnson Uniform Polytopes , Manuscript (1991) N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs , Ph.D. Klitzing, Richard. "7D uniform polytopes (polyexa)". External links edit Polytopes of Various Dimensions Multi-dimensional Glossary
pentellated, cubes, seven, dimensional, geometry, pentellated, cube, convex, uniform, polytope, with, order, truncations, pentellation, regular, cube, there, unique, pentellations, cube, with, permutations, truncations, cantellations, runcinations, sterication. In seven dimensional geometry a pentellated 7 cube is a convex uniform 7 polytope with 5th order truncations pentellation of the regular 7 cube There are 32 unique pentellations of the 7 cube with permutations of truncations cantellations runcinations and sterications 16 are more simply constructed relative to the 7 orthoplex 7 cube Pentellated 7 cube Pentitruncated 7 cube Penticantellated 7 cube Penticantitruncated 7 cube Pentiruncinated 7 cube Pentiruncitruncated 7 cube Pentiruncicantellated 7 cube Pentiruncicantitruncated 7 cube Pentistericated 7 cube Pentisteritruncated 7 cube Pentistericantellated 7 cube Pentistericantitruncated 7 cube Pentisteriruncinated 7 cube Pentisteriruncitruncated 7 cube Pentisteriruncicantellated 7 cube Pentisteriruncicantitruncated 7 cube Contents 1 Pentellated 7 cube 1 1 Alternate names 1 2 Images 2 Pentitruncated 7 cube 2 1 Alternate names 2 2 Images 3 Penticantellated 7 cube 3 1 Alternate names 3 2 Images 4 Penticantitruncated 7 cube 4 1 Alternate names 5 Pentiruncinated 7 cube 5 1 Alternate names 5 2 Images 6 Pentiruncitruncated 7 cube 6 1 Alternate names 6 2 Images 7 Pentiruncicantellated 7 cube 7 1 Alternate names 7 2 Images 8 Pentiruncicantitruncated 7 cube 8 1 Alternate names 8 2 Images 9 Pentistericated 7 cube 9 1 Alternate names 9 2 Images 10 Pentisteritruncated 7 cube 10 1 Alternate names 10 2 Images 11 Pentistericantellated 7 cube 11 1 Alternate names 11 2 Images 12 Pentistericantitruncated 7 cube 12 1 Alternate names 12 2 Images 13 Pentisteriruncinated 7 cube 13 1 Alternate names 13 2 Images 14 Pentisteriruncitruncated 7 cube 14 1 Alternate names 14 2 Images 15 Pentisteriruncicantellated 7 cube 15 1 Alternate names 15 2 Images 16 Pentisteriruncicantitruncated 7 cube 16 1 Alternate names 16 2 Images 17 Related polytopes 18 Notes 19 References 20 External linksPentellated 7 cube editPentellated 7 cube Type uniform 7 polytope Schlafli symbol t0 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Small terated hepteract acronym Jonathan Bowers 1 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentitruncated 7 cube editpentitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Teritruncated hepteract acronym Jonathan Bowers 2 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Penticantellated 7 cube editPenticantellated 7 cube Type uniform 7 polytope Schlafli symbol t0 2 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Terirhombated hepteract acronym Jonathan Bowers 3 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Penticantitruncated 7 cube editpenticantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 2 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Terigreatorhombated hepteract acronym Jonathan Bowers 4 orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncinated 7 cube editpentiruncinated 7 cube Type uniform 7 polytope Schlafli symbol t0 3 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Teriprismated hepteract acronym Jonathan Bowers 5 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncitruncated 7 cube editpentiruncitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 3 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Teriprismatotruncated hepteract acronym Jonathan Bowers 6 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncicantellated 7 cube editpentiruncicantellated 7 cube Type uniform 7 polytope Schlafli symbol t0 2 3 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Teriprismatorhombated hepteract acronym Jonathan Bowers 7 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncicantitruncated 7 cube editpentiruncicantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 2 3 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Terigreatoprismated hepteract acronym Jonathan Bowers 8 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph too complex nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph too complex too complex Dihedral symmetry 6 4 Pentistericated 7 cube editpentistericated 7 cube Type uniform 7 polytope Schlafli symbol t0 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Tericellated hepteract acronym Jonathan Bowers 9 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteritruncated 7 cube editpentisteritruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Tericellitruncated hepteract acronym Jonathan Bowers 10 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentistericantellated 7 cube editpentistericantellated 7 cube Type uniform 7 polytope Schlafli symbol t0 2 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Tericellirhombated hepteract acronym Jonathan Bowers 11 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentistericantitruncated 7 cube editpentistericantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 2 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Tericelligreatorhombated hepteract acronym Jonathan Bowers 12 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph too complex nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteriruncinated 7 cube editPentisteriruncinated 7 cube Type uniform 7 polytope Schlafli symbol t0 3 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Bipenticantitruncated 7 cube as t1 2 3 6 4 35 Tericelliprismated hepteract acronym Jonathan Bowers 13 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph nbsp nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteriruncitruncated 7 cube editpentisteriruncitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 3 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges 40320 Vertices 10080 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Tericelliprismatotruncated hepteract acronym Jonathan Bowers 14 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph too complex nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteriruncicantellated 7 cube editpentisteriruncicantellated 7 cube Type uniform 7 polytope Schlafli symbol t0 2 3 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges 40320 Vertices 10080 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Bipentiruncicantitruncated 7 cube as t1 2 3 4 6 4 35 Tericelliprismatorhombated hepteract acronym Jonathan Bowers 15 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph too complex nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteriruncicantitruncated 7 cube editpentisteriruncicantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 2 3 4 5 4 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 6 faces 5 faces 4 faces Cells Faces Edges Vertices Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Great terated hepteract acronym Jonathan Bowers 16 Images edit orthographic projections Coxeter plane B7 A6 B6 D7 B5 D6 A4 Graph too complex nbsp nbsp Dihedral symmetry 14 12 10 Coxeter plane B4 D5 B3 D4 A2 B2 D3 Graph nbsp nbsp nbsp Dihedral symmetry 8 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Related polytopes editThese polytopes are a part of a set of 127 uniform 7 polytopes with B7 symmetry Notes edit Klitzing x3o3o3o3o3x4o Klitzing x3x3o3o3o3x4o Klitzing x3o3x3o3o3x4o Klitzing x3x3x3oxo3x4o Klitzing x3o3o3x3o3x4o Klitzing x3x3o3x3o3x4o Klitzing x3o3x3x3o3x4o Klitzing x3x3x3x3o3x4o Klitzing x3o3o3o3x3x4o Klitzing x3x3o3o3x3x4o Klitzing x3o3x3o3x3x4o Klitzing x3x3x3o3x3x4o Klitzing x3o3o3x3x3x4o Klitzing x3x3o3x3x3x4o Klitzing x3o3x3x3x3x4o Klitzing x3x3x3x3x3x4o References editH S M Coxeter H S M Coxeter Regular Polytopes 3rd Edition Dover New York 1973 Kaleidoscopes Selected Writings of H S M Coxeter edited by F Arthur Sherk Peter McMullen Anthony C Thompson Asia Ivic Weiss Wiley Interscience Publication 1995 ISBN 978 0 471 01003 6 Wiley Kaleidoscopes Selected Writings of H S M Coxeter Paper 22 H S M Coxeter Regular and Semi Regular Polytopes I Math Zeit 46 1940 380 407 MR 2 10 Paper 23 H S M Coxeter Regular and Semi Regular Polytopes II Math Zeit 188 1985 559 591 Paper 24 H S M Coxeter Regular and Semi Regular Polytopes III Math Zeit 200 1988 3 45 Norman Johnson Uniform Polytopes Manuscript 1991 N W Johnson The Theory of Uniform Polytopes and Honeycombs Ph D Klitzing Richard 7D uniform polytopes polyexa x3o3o3o3o3x4o x3x3o3o3o3x4o x3o3x3o3o3x4o x3x3x3oxo3x4o x3o3o3x3o3x4o x3x3o3x3o3x4o x3o3x3x3o3x4o x3x3x3x3o3x4o x3o3o3o3x3x4o x3x3o3o3x3x4o x3o3x3o3x3x4o x3x3x3o3x3x4o x3o3o3x3x3x4o x3x3o3x3x3x4o x3o3x3x3x3x4o x3x3x3x3x3x3oExternal links editPolytopes of Various Dimensions Multi dimensional Glossary vteFundamental convex regular and uniform polytopes in dimensions 2 10 Family An Bn I2 p Dn E6 E7 E8 F4 G2 Hn Regular polygon Triangle Square p gon Hexagon Pentagon Uniform polyhedron Tetrahedron Octahedron Cube Demicube Dodecahedron Icosahedron Uniform polychoron Pentachoron 16 cell Tesseract Demitesseract 24 cell 120 cell 600 cell Uniform 5 polytope 5 simplex 5 orthoplex 5 cube 5 demicube Uniform 6 polytope 6 simplex 6 orthoplex 6 cube 6 demicube 122 221 Uniform 7 polytope 7 simplex 7 orthoplex 7 cube 7 demicube 132 231 321 Uniform 8 polytope 8 simplex 8 orthoplex 8 cube 8 demicube 142 241 421 Uniform 9 polytope 9 simplex 9 orthoplex 9 cube 9 demicube Uniform 10 polytope 10 simplex 10 orthoplex 10 cube 10 demicube Uniform n polytope n simplex n orthoplex n cube n demicube 1k2 2k1 k21 n pentagonal polytope Topics Polytope families Regular polytope List of regular polytopes and compounds Retrieved from https en wikipedia org w index php title Pentellated 7 cubes amp oldid 1037630104 Pentellated 7 cube, wikipedia, wiki , book, books, library,
article , read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.