Runcinated 7-cube edit Alternate names edit Small prismated hepteract (acronym: spesa) (Jonathan Bowers)[1] Images edit Biruncinated 7-cube edit Alternate names edit Small biprismated hepteract (Acronym sibposa) (Jonathan Bowers)[2] Images edit Runcitruncated 7-cube edit Alternate names edit Prismatotruncated hepteract (acronym: petsa) (Jonathan Bowers)[3] Images edit Biruncitruncated 7-cube edit Alternate names edit Biprismatotruncated hepteract (acronym: biptesa) (Jonathan Bowers)[4] Images edit Runcicantellated 7-cube edit Alternate names edit Prismatorhombated hepteract (acronym: parsa) (Jonathan Bowers)[5] Images edit Biruncicantellated 7-cube edit Alternate names edit Biprismatorhombated hepteract (acronym: bopresa) (Jonathan Bowers)[6] Images edit Runcicantitruncated 7-cube edit Alternate names edit Great prismated hepteract (acronym: gapsa) (Jonathan Bowers)[7] Images edit Biruncicantitruncated 7-cube edit Alternate names edit Great biprismated hepteract (acronym: gibposa) (Jonathan Bowers)[8] Images edit Notes edit ^ Klitzing, (x3o3o3x3o3o4o - spesa) ^ Klitzing, (o3x3o3o3x3o4o - sibposa) ^ Klitzing, (x3x3o3x3o3o4o - petsa) ^ Klitzing, (o3x3x3o3x3o4o - biptesa) ^ Klitzing, (x3o3x3x3o3o4o - parsa) ^ Klitzing, (o3o3x3x3o3x4o - bopresa) ^ Klitzing, (x3x3x3x3o3o4o - gapsa) ^ Klitzing, (o3x3x3x3x3o3o - gibposa) 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 [1] (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. (1966) Klitzing, Richard. "7D uniform polytopes (polyexa)". External links edit Polytopes of Various Dimensions Multi-dimensional Glossary
runcinated, cubes, cube, runcinated, cube, biruncinated, cube, runcitruncated, cube, biruncitruncated, cube, runcicantellated, cube, biruncicantellated, cube, runcicantitruncated, cube, biruncicantitruncated, cube, orthogonal, projections, coxeter, plane, seve. 7 cube Runcinated 7 cube Biruncinated 7 cube Runcitruncated 7 cube Biruncitruncated 7 cube Runcicantellated 7 cube Biruncicantellated 7 cube Runcicantitruncated 7 cube Biruncicantitruncated 7 cube Orthogonal projections in B7 Coxeter plane In seven dimensional geometry a runcinated 7 cube is a convex uniform 7 polytope with 3rd order truncations runcination of the regular 7 cube There are 16 unique runcinations of the 7 cube with permutations of truncations and cantellations 8 are more simply constructed from the 7 orthoplex These polytopes are among 127 uniform 7 polytopes with B7 symmetry Contents 1 Runcinated 7 cube 1 1 Alternate names 1 2 Images 2 Biruncinated 7 cube 2 1 Alternate names 2 2 Images 3 Runcitruncated 7 cube 3 1 Alternate names 3 2 Images 4 Biruncitruncated 7 cube 4 1 Alternate names 4 2 Images 5 Runcicantellated 7 cube 5 1 Alternate names 5 2 Images 6 Biruncicantellated 7 cube 6 1 Alternate names 6 2 Images 7 Runcicantitruncated 7 cube 7 1 Alternate names 7 2 Images 8 Biruncicantitruncated 7 cube 8 1 Alternate names 8 2 Images 9 Notes 10 References 11 External linksRuncinated 7 cube editRuncinated 7 cube Type uniform 7 polytope Schlafli symbol t0 3 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 33600 Vertices 4480 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Small prismated hepteract acronym spesa 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 Biruncinated 7 cube editBiruncinated 7 cube Type uniform 7 polytope Schlafli symbol t1 4 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 67200 Vertices 8960 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Small biprismated hepteract Acronym sibposa 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 Runcitruncated 7 cube editRuncitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 3 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 73920 Vertices 13440 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Prismatotruncated hepteract acronym petsa 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 Biruncitruncated 7 cube editBiruncitruncated 7 cube Type uniform 7 polytope Schlafli symbol t1 2 4 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 134400 Vertices 26880 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Biprismatotruncated hepteract acronym biptesa Jonathan Bowers 4 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 Runcicantellated 7 cube editRuncicantellated 7 cube Type uniform 7 polytope Schlafli symbol t0 2 3 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 53760 Vertices 13440 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Prismatorhombated hepteract acronym parsa 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 Biruncicantellated 7 cube editbiruncicantellated 7 cube Type uniform 7 polytope Schlafli symbol t1 3 4 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 120960 Vertices 26880 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Biprismatorhombated hepteract acronym bopresa 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 Runcicantitruncated 7 cube editRuncicantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t0 1 2 3 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 94080 Vertices 26880 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Great prismated hepteract acronym gapsa 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 Biruncicantitruncated 7 cube editbiruncicantitruncated 7 cube Type uniform 7 polytope Schlafli symbol t1 2 3 4 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 188160 Vertices 53760 Vertex figure Coxeter groups B7 4 35 Properties convex Alternate names edit Great biprismated hepteract acronym gibposa Jonathan Bowers 8 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 Notes edit Klitzing x3o3o3x3o3o4o spesa Klitzing o3x3o3o3x3o4o sibposa Klitzing x3x3o3x3o3o4o petsa Klitzing o3x3x3o3x3o4o biptesa Klitzing x3o3x3x3o3o4o parsa Klitzing o3o3x3x3o3x4o bopresa Klitzing x3x3x3x3o3o4o gapsa Klitzing o3x3x3x3x3o3o gibposa 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 1 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 1966 Klitzing Richard 7D uniform polytopes polyexa x3o3o3x3o3o4o spo o3x3o3o3x3o4o sibpo x3x3o3x3o3o4o patto o3x3x3o3x3o4o bipto x3o3x3x3o3o4o paro x3x3x3x3o3o4o gapo o3x3x3x3x3o3o gibpoExternal 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 Runcinated 7 cubes amp oldid 817103127 Runcinated 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.