6-cube 6-orthoplex Pentellated 6-cube Pentitruncated 6-cube Penticantellated 6-cube Penticantitruncated 6-cube Pentiruncitruncated 6-cube Pentiruncicantellated 6-cube Pentiruncicantitruncated 6-cube Pentisteritruncated 6-cube Pentistericantitruncated 6-cube Orthogonal projections in B6 Coxeter plane
In six-dimensional geometry , a pentellated 6-cube is a convex uniform 6-polytope with 5th order truncations of the regular 6-cube .
There are unique 16 degrees of pentellations of the 6-cube with permutations of truncations, cantellations, runcinations, and sterications. The simple pentellated 6-cube is also called an expanded 6-cube , constructed by an expansion operation applied to the regular 6-cube . The highest form, the pentisteriruncicantitruncated 6-cube , is called an omnitruncated 6-cube with all of the nodes ringed. Six of them are better constructed from the 6-orthoplex given at pentellated 6-orthoplex .
Pentellated 6-cube edit Pentellated 6-cube Type Uniform 6-polytope Schläfli symbol t0,5 {4,3,3,3,3} Coxeter-Dynkin diagram 5-faces 4-faces Cells Faces Edges 1920 Vertices 384 Vertex figure 5-cell antiprism Coxeter group B6 , [4,3,3,3,3] Properties convex
Alternate names edit Pentellated 6-orthoplex Expanded 6-cube, expanded 6-orthoplex Small teri-hexeractihexacontitetrapeton (Acronym: stoxog) (Jonathan Bowers)[1] Images edit Pentitruncated 6-cube edit Pentitruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 8640 Vertices 1920 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Teritruncated hexeract (Acronym: tacog) (Jonathan Bowers)[2] Images edit Penticantellated 6-cube edit Penticantellated 6-cube Type uniform 6-polytope Schläfli symbol t0,2,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 21120 Vertices 3840 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Terirhombated hexeract (Acronym: topag) (Jonathan Bowers)[3] Images edit Penticantitruncated 6-cube edit Penticantitruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,2,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 30720 Vertices 7680 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Terigreatorhombated hexeract (Acronym: togrix) (Jonathan Bowers)[4] Images edit Pentiruncitruncated 6-cube edit Pentiruncitruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,3,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 151840 Vertices 11520 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Tericellirhombated hexacontitetrapeton (Acronym: tocrag) (Jonathan Bowers)[5] Images edit Pentiruncicantellated 6-cube edit Pentiruncicantellated 6-cube Type uniform 6-polytope Schläfli symbol t0,2,3,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 46080 Vertices 11520 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Teriprismatorhombi-hexeractihexacontitetrapeton (Acronym: tiprixog) (Jonathan Bowers)[6] Images edit Pentiruncicantitruncated 6-cube edit Pentiruncicantitruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,2,3,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 80640 Vertices 23040 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Terigreatoprismated hexeract (Acronym: tagpox) (Jonathan Bowers)[7] Images edit Pentisteritruncated 6-cube edit Pentisteritruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,4,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 30720 Vertices 7680 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Tericellitrunki-hexeractihexacontitetrapeton (Acronym: tactaxog) (Jonathan Bowers)[8] Images edit Pentistericantitruncated 6-cube edit Pentistericantitruncated 6-cube Type uniform 6-polytope Schläfli symbol t0,1,2,4,5 {4,3,3,3,3} Coxeter-Dynkin diagrams 5-faces 4-faces Cells Faces Edges 80640 Vertices 23040 Vertex figure Coxeter groups B6 , [4,3,3,3,3] Properties convex
Alternate names edit Tericelligreatorhombated hexeract (Acronym: tocagrax) (Jonathan Bowers)[9] Images edit Omnitruncated 6-cube edit Omnitruncated 6-cube Type Uniform 6-polytope Schläfli symbol t0,1,2,3,4,5 {35 } Coxeter-Dynkin diagrams 5-faces 728:t0,1,2,3,4 {3,3,3,4} 0,1,2,3 {3,3,4} 0,1,2 {3,4} 0,1,2 {3,3} 0,1,2,3 {33 } t0,1,2,3,4 {34 } 4-faces 14168 Cells 72960 Faces 151680 Edges 138240 Vertices 46080 Vertex figure irregular 5-simplex Coxeter group B6 , [4,3,3,3,3] Properties convex , isogonal
The omnitruncated 6-cube has 5040 vertices , 15120 edges , 16800 faces (4200 hexagons and 1260 squares ), 8400 cells , 1806 4-faces, and 126 5-faces. With 5040 vertices, it is the largest of 35 uniform 6-polytopes generated from the regular 6-cube .
Alternate names edit Pentisteriruncicantitruncated 6-cube or 6-orthoplex (omnitruncation for 6-polytopes) Omnitruncated hexeract Great teri-hexeractihexacontitetrapeton (Acronym: gotaxog) (Jonathan Bowers)[10] Images edit Full snub 6-cube edit The full snub 6-cube or omnisnub 6-cube , defined as an alternation of the omnitruncated 6-cube is not uniform, but it can be given Coxeter diagram symmetry [4,3,3,3,3]+ , and constructed from 12 snub 5-cubes , 64 snub 5-simplexes , 60 snub tesseract antiprisms, 192 snub 5-cell antiprisms, 160 3-sr{4,3} duoantiprisms, 240 4-s{3,4} duoantiprisms, and 23040 irregular 5-simplexes filling the gaps at the deleted vertices.
Related polytopes edit These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane , including the regular 6-cube or 6-orthoplex .
B6 polytopes β6 t1 β6 t2 β6 t2 γ6 t1 γ6 γ6 t0,1 β6 t0,2 β6 t1,2 β6 t0,3 β6 t1,3 β6 t2,3 γ6 t0,4 β6 t1,4 γ6 t1,3 γ6 t1,2 γ6 t0,5 γ6 t0,4 γ6 t0,3 γ6 t0,2 γ6 t0,1 γ6 t0,1,2 β6 t0,1,3 β6 t0,2,3 β6 t1,2,3 β6 t0,1,4 β6 t0,2,4 β6 t1,2,4 β6 t0,3,4 β6 t1,2,4 γ6 t1,2,3 γ6 t0,1,5 β6 t0,2,5 β6 t0,3,4 γ6 t0,2,5 γ6 t0,2,4 γ6 t0,2,3 γ6 t0,1,5 γ6 t0,1,4 γ6 t0,1,3 γ6 t0,1,2 γ6 t0,1,2,3 β6 t0,1,2,4 β6 t0,1,3,4 β6 t0,2,3,4 β6 t1,2,3,4 γ6 t0,1,2,5 β6 t0,1,3,5 β6 t0,2,3,5 γ6 t0,2,3,4 γ6 t0,1,4,5 γ6 t0,1,3,5 γ6 t0,1,3,4 γ6 t0,1,2,5 γ6 t0,1,2,4 γ6 t0,1,2,3 γ6 t0,1,2,3,4 β6 t0,1,2,3,5 β6 t0,1,2,4,5 β6 t0,1,2,4,5 γ6 t0,1,2,3,5 γ6 t0,1,2,3,4 γ6 t0,1,2,3,4,5 γ6
Notes edit ^ Klitzing, (x4o3o3o3o3x - stoxog) ^ Klitzing, (x4x3o3o3o3x - tacog) ^ Klitzing, (x4o3x3o3o3x - topag) ^ Klitzing, (x4x3x3o3o3x - togrix) ^ Klitzing, (x4x3o3x3o3x - tocrag) ^ Klitzing, (x4o3x3x3o3x - tiprixog) ^ Klitzing, (x4x3x3o3x3x - tagpox) ^ Klitzing, (x4x3o3o3x3x - tactaxog) ^ Klitzing, (x4x3x3o3x3x - tocagrax) ^ Klitzing, (x4x3x3x3x3x - gotaxog) 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. Klitzing, Richard. "6D uniform polytopes (polypeta)". External links edit , George Olshevsky. Polytopes of Various Dimensions Multi-dimensional Glossary
pentellated, cubes, cube, orthoplex, pentellated, cube, pentitruncated, cube, penticantellated, cube, penticantitruncated, cube, pentiruncitruncated, cube, pentiruncicantellated, cube, pentiruncicantitruncated, cube, pentisteritruncated, cube, pentistericantit. 6 cube 6 orthoplex Pentellated 6 cube Pentitruncated 6 cube Penticantellated 6 cube Penticantitruncated 6 cube Pentiruncitruncated 6 cube Pentiruncicantellated 6 cube Pentiruncicantitruncated 6 cube Pentisteritruncated 6 cube Pentistericantitruncated 6 cube Omnitruncated 6 cube Orthogonal projections in B6 Coxeter plane In six dimensional geometry a pentellated 6 cube is a convex uniform 6 polytope with 5th order truncations of the regular 6 cube There are unique 16 degrees of pentellations of the 6 cube with permutations of truncations cantellations runcinations and sterications The simple pentellated 6 cube is also called an expanded 6 cube constructed by an expansion operation applied to the regular 6 cube The highest form the pentisteriruncicantitruncated 6 cube is called an omnitruncated 6 cube with all of the nodes ringed Six of them are better constructed from the 6 orthoplex given at pentellated 6 orthoplex Contents 1 Pentellated 6 cube 1 1 Alternate names 1 2 Images 2 Pentitruncated 6 cube 2 1 Alternate names 2 2 Images 3 Penticantellated 6 cube 3 1 Alternate names 3 2 Images 4 Penticantitruncated 6 cube 4 1 Alternate names 4 2 Images 5 Pentiruncitruncated 6 cube 5 1 Alternate names 5 2 Images 6 Pentiruncicantellated 6 cube 6 1 Alternate names 6 2 Images 7 Pentiruncicantitruncated 6 cube 7 1 Alternate names 7 2 Images 8 Pentisteritruncated 6 cube 8 1 Alternate names 8 2 Images 9 Pentistericantitruncated 6 cube 9 1 Alternate names 9 2 Images 10 Omnitruncated 6 cube 10 1 Alternate names 10 2 Images 10 3 Full snub 6 cube 11 Related polytopes 12 Notes 13 References 14 External linksPentellated 6 cube editPentellated 6 cube Type Uniform 6 polytope Schlafli symbol t0 5 4 3 3 3 3 Coxeter Dynkin diagram nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 1920 Vertices 384 Vertex figure 5 cell antiprism Coxeter group B6 4 3 3 3 3 Properties convex Alternate names edit Pentellated 6 orthoplex Expanded 6 cube expanded 6 orthoplex Small teri hexeractihexacontitetrapeton Acronym stoxog Jonathan Bowers 1 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentitruncated 6 cube editPentitruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 8640 Vertices 1920 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Teritruncated hexeract Acronym tacog Jonathan Bowers 2 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Penticantellated 6 cube editPenticantellated 6 cube Type uniform 6 polytope Schlafli symbol t0 2 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 21120 Vertices 3840 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Terirhombated hexeract Acronym topag Jonathan Bowers 3 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Penticantitruncated 6 cube editPenticantitruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 2 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 30720 Vertices 7680 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Terigreatorhombated hexeract Acronym togrix Jonathan Bowers 4 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncitruncated 6 cube editPentiruncitruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 3 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 151840 Vertices 11520 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Tericellirhombated hexacontitetrapeton Acronym tocrag Jonathan Bowers 5 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncicantellated 6 cube editPentiruncicantellated 6 cube Type uniform 6 polytope Schlafli symbol t0 2 3 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 46080 Vertices 11520 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Teriprismatorhombi hexeractihexacontitetrapeton Acronym tiprixog Jonathan Bowers 6 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentiruncicantitruncated 6 cube editPentiruncicantitruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 2 3 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 80640 Vertices 23040 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Terigreatoprismated hexeract Acronym tagpox Jonathan Bowers 7 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentisteritruncated 6 cube editPentisteritruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 4 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 30720 Vertices 7680 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Tericellitrunki hexeractihexacontitetrapeton Acronym tactaxog Jonathan Bowers 8 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Pentistericantitruncated 6 cube editPentistericantitruncated 6 cube Type uniform 6 polytope Schlafli symbol t0 1 2 4 5 4 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 4 faces Cells Faces Edges 80640 Vertices 23040 Vertex figure Coxeter groups B6 4 3 3 3 3 Properties convex Alternate names edit Tericelligreatorhombated hexeract Acronym tocagrax Jonathan Bowers 9 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Omnitruncated 6 cube editOmnitruncated 6 cube Type Uniform 6 polytope Schlafli symbol t0 1 2 3 4 5 35 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 728 12 t0 1 2 3 4 3 3 3 4 nbsp 60 t0 1 2 3 3 3 4 nbsp nbsp 160 6 t0 1 2 3 4 nbsp nbsp 240 8 t0 1 2 3 3 nbsp nbsp 192 t0 1 2 3 33 nbsp nbsp 64 t0 1 2 3 4 34 nbsp 4 faces 14168 Cells 72960 Faces 151680 Edges 138240 Vertices 46080 Vertex figure irregular 5 simplex Coxeter group B6 4 3 3 3 3 Properties convex isogonal The omnitruncated 6 cube has 5040 vertices 15120 edges 16800 faces 4200 hexagons and 1260 squares 8400 cells 1806 4 faces and 126 5 faces With 5040 vertices it is the largest of 35 uniform 6 polytopes generated from the regular 6 cube Alternate names edit Pentisteriruncicantitruncated 6 cube or 6 orthoplex omnitruncation for 6 polytopes Omnitruncated hexeract Great teri hexeractihexacontitetrapeton Acronym gotaxog Jonathan Bowers 10 Images edit orthographic projections Coxeter plane B6 B5 B4 Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2 Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3 Graph nbsp nbsp Dihedral symmetry 6 4 Full snub 6 cube edit The full snub 6 cube or omnisnub 6 cube defined as an alternation of the omnitruncated 6 cube is not uniform but it can be given Coxeter diagram nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp and symmetry 4 3 3 3 3 and constructed from 12 snub 5 cubes 64 snub 5 simplexes 60 snub tesseract antiprisms 192 snub 5 cell antiprisms 160 3 sr 4 3 duoantiprisms 240 4 s 3 4 duoantiprisms and 23040 irregular 5 simplexes filling the gaps at the deleted vertices Related polytopes editThese polytopes are from a set of 63 uniform 6 polytopes generated from the B6 Coxeter plane including the regular 6 cube or 6 orthoplex B6 polytopes nbsp b6 nbsp t1b6 nbsp t2b6 nbsp t2g6 nbsp t1g6 nbsp g6 nbsp t0 1b6 nbsp t0 2b6 nbsp t1 2b6 nbsp t0 3b6 nbsp t1 3b6 nbsp t2 3g6 nbsp t0 4b6 nbsp t1 4g6 nbsp t1 3g6 nbsp t1 2g6 nbsp t0 5g6 nbsp t0 4g6 nbsp t0 3g6 nbsp t0 2g6 nbsp t0 1g6 nbsp t0 1 2b6 nbsp t0 1 3b6 nbsp t0 2 3b6 nbsp t1 2 3b6 nbsp t0 1 4b6 nbsp t0 2 4b6 nbsp t1 2 4b6 nbsp t0 3 4b6 nbsp t1 2 4g6 nbsp t1 2 3g6 nbsp t0 1 5b6 nbsp t0 2 5b6 nbsp t0 3 4g6 nbsp t0 2 5g6 nbsp t0 2 4g6 nbsp t0 2 3g6 nbsp t0 1 5g6 nbsp t0 1 4g6 nbsp t0 1 3g6 nbsp t0 1 2g6 nbsp t0 1 2 3b6 nbsp t0 1 2 4b6 nbsp t0 1 3 4b6 nbsp t0 2 3 4b6 nbsp t1 2 3 4g6 nbsp t0 1 2 5b6 nbsp t0 1 3 5b6 nbsp t0 2 3 5g6 nbsp t0 2 3 4g6 nbsp t0 1 4 5g6 nbsp t0 1 3 5g6 nbsp t0 1 3 4g6 nbsp t0 1 2 5g6 nbsp t0 1 2 4g6 nbsp t0 1 2 3g6 nbsp t0 1 2 3 4b6 nbsp t0 1 2 3 5b6 nbsp t0 1 2 4 5b6 nbsp t0 1 2 4 5g6 nbsp t0 1 2 3 5g6 nbsp t0 1 2 3 4g6 nbsp t0 1 2 3 4 5g6Notes edit Klitzing x4o3o3o3o3x stoxog Klitzing x4x3o3o3o3x tacog Klitzing x4o3x3o3o3x topag Klitzing x4x3x3o3o3x togrix Klitzing x4x3o3x3o3x tocrag Klitzing x4o3x3x3o3x tiprixog Klitzing x4x3x3o3x3x tagpox Klitzing x4x3o3o3x3x tactaxog Klitzing x4x3x3o3x3x tocagrax Klitzing x4x3x3x3x3x gotaxog 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 Klitzing Richard 6D uniform polytopes polypeta x4o3o3o3o3x stoxog x4x3o3o3o3x tacog x4o3x3o3o3x topag x4x3x3o3o3x togrix x4x3o3x3o3x tocrag x4o3x3x3o3x tiprixog x4x3x3o3x3x tagpox x4x3o3o3x3x tactaxog x4x3x3o3x3x tocagrax x4x3x3x3x3x gotaxogExternal links editGlossary for hyperspace George Olshevsky Polytopes 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 6 cubes amp oldid 1222139178 Pentisteritruncated 6 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.