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Stericated 6-simplexes

May 01, 2024


6-simplex
Stericated 6-simplex
Steritruncated 6-simplex

Stericantellated 6-simplex
Stericantitruncated 6-simplex
Steriruncinated 6-simplex

Steriruncitruncated 6-simplex
Steriruncicantellated 6-simplex
Steriruncicantitruncated 6-simplex
Orthogonal projections in A6 Coxeter plane

In six-dimensional geometry, a stericated 6-simplex is a convex uniform 6-polytope with 4th order truncations (sterication) of the regular 6-simplex.

There are 8 unique sterications for the 6-simplex with permutations of truncations, cantellations, and runcinations.

Stericated 6-simplex edit

Stericated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 700
Cells 1470
Faces 1400
Edges 630
Vertices 105
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Small cellated heptapeton (Acronym: scal) (Jonathan Bowers)[1]

Coordinates edit

The vertices of the stericated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,1,1,1,1,2). This construction is based on facets of the stericated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Steritruncated 6-simplex edit

Steritruncated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,1,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 945
Cells 2940
Faces 3780
Edges 2100
Vertices 420
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Cellitruncated heptapeton (Acronym: catal) (Jonathan Bowers)[2]

Coordinates edit

The vertices of the steritruncated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,1,1,1,2,3). This construction is based on facets of the steritruncated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Stericantellated 6-simplex edit

Stericantellated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,2,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 1050
Cells 3465
Faces 5040
Edges 3150
Vertices 630
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Cellirhombated heptapeton (Acronym: cral) (Jonathan Bowers)[3]

Coordinates edit

The vertices of the stericantellated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,1,1,2,2,3). This construction is based on facets of the stericantellated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Stericantitruncated 6-simplex edit

stericantitruncated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,1,2,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 1155
Cells 4410
Faces 7140
Edges 5040
Vertices 1260
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Celligreatorhombated heptapeton (Acronym: cagral) (Jonathan Bowers)[4]

Coordinates edit

The vertices of the stericanttruncated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,0,1,2,3,4). This construction is based on facets of the stericantitruncated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Steriruncinated 6-simplex edit

steriruncinated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,3,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 700
Cells 1995
Faces 2660
Edges 1680
Vertices 420
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Celliprismated heptapeton (Acronym: copal) (Jonathan Bowers)[5]

Coordinates edit

The vertices of the steriruncinated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,1,2,2,3,3). This construction is based on facets of the steriruncinated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Steriruncitruncated 6-simplex edit

steriruncitruncated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,1,3,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 945
Cells 3360
Faces 5670
Edges 4410
Vertices 1260
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Celliprismatotruncated heptapeton (Acronym: captal) (Jonathan Bowers)[6]

Coordinates edit

The vertices of the steriruncittruncated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,0,1,2,3,4). This construction is based on facets of the steriruncitruncated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Steriruncicantellated 6-simplex edit

steriruncicantellated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,2,3,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 1050
Cells 3675
Faces 5880
Edges 4410
Vertices 1260
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Bistericantitruncated 6-simplex as t1,2,3,5{3,3,3,3,3}
  • Celliprismatorhombated heptapeton (Acronym: copril) (Jonathan Bowers)[7]

Coordinates edit

The vertices of the steriruncitcantellated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,0,1,2,3,4). This construction is based on facets of the steriruncicantellated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Steriruncicantitruncated 6-simplex edit

Steriuncicantitruncated 6-simplex
Type uniform 6-polytope
Schläfli symbol t0,1,2,3,4{3,3,3,3,3}
Coxeter-Dynkin diagrams            
5-faces 105
4-faces 1155
Cells 4620
Faces 8610
Edges 7560
Vertices 2520
Vertex figure
Coxeter group A6, [35], order 5040
Properties convex

Alternate names edit

  • Great cellated heptapeton (Acronym: gacal) (Jonathan Bowers)[8]

Coordinates edit

The vertices of the steriruncicantittruncated 6-simplex can be most simply positioned in 7-space as permutations of (0,0,1,2,3,4,5). This construction is based on facets of the steriruncicantitruncated 7-orthoplex.

Images edit

orthographic projections
Ak Coxeter plane A6 A5 A4
Graph      
Dihedral symmetry [7] [6] [5]
Ak Coxeter plane A3 A2
Graph    
Dihedral symmetry [4] [3]

Related uniform 6-polytopes edit

The truncated 6-simplex is one of 35 uniform 6-polytopes based on the [3,3,3,3,3] Coxeter group, all shown here in A6 Coxeter plane orthographic projections.

Notes edit

  1. ^ Klitzing, (x3o3o3o3x3o - scal)
  2. ^ Klitzing, (x3x3o3o3x3o - catal)
  3. ^ Klitzing, (x3o3x3o3x3o - cral)
  4. ^ Klitzing, (x3x3x3o3x3o - cagral)
  5. ^ Klitzing, (x3o3o3x3x3o - copal)
  6. ^ Klitzing, (x3x3o3x3x3o - captal)
  7. ^ Klitzing, ( x3o3x3x3x3o - copril)
  8. ^ Klitzing, (x3x3x3x3x3o - gacal)

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

  • Multi-dimensional Glossary
Fundamental 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

May 01, 2024
stericated, simplexes, simplex, stericated, simplex, steritruncated, simplex, stericantellated, simplex, stericantitruncated, simplex, steriruncinated, simplex, steriruncitruncated, simplex, steriruncicantellated, simplex, steriruncicantitruncated, simplex, or. 6 simplex Stericated 6 simplex Steritruncated 6 simplex Stericantellated 6 simplex Stericantitruncated 6 simplex Steriruncinated 6 simplex Steriruncitruncated 6 simplex Steriruncicantellated 6 simplex Steriruncicantitruncated 6 simplex Orthogonal projections in A6 Coxeter plane In six dimensional geometry a stericated 6 simplex is a convex uniform 6 polytope with 4th order truncations sterication of the regular 6 simplex There are 8 unique sterications for the 6 simplex with permutations of truncations cantellations and runcinations Contents 1 Stericated 6 simplex 1 1 Alternate names 1 2 Coordinates 1 3 Images 2 Steritruncated 6 simplex 2 1 Alternate names 2 2 Coordinates 2 3 Images 3 Stericantellated 6 simplex 3 1 Alternate names 3 2 Coordinates 3 3 Images 4 Stericantitruncated 6 simplex 4 1 Alternate names 4 2 Coordinates 4 3 Images 5 Steriruncinated 6 simplex 5 1 Alternate names 5 2 Coordinates 5 3 Images 6 Steriruncitruncated 6 simplex 6 1 Alternate names 6 2 Coordinates 6 3 Images 7 Steriruncicantellated 6 simplex 7 1 Alternate names 7 2 Coordinates 7 3 Images 8 Steriruncicantitruncated 6 simplex 8 1 Alternate names 8 2 Coordinates 8 3 Images 9 Related uniform 6 polytopes 10 Notes 11 References 12 External linksStericated 6 simplex editStericated 6 simplex Type uniform 6 polytope Schlafli symbol t0 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 700 Cells 1470 Faces 1400 Edges 630 Vertices 105 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Small cellated heptapeton Acronym scal Jonathan Bowers 1 Coordinates edit The vertices of the stericated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 1 1 1 1 2 This construction is based on facets of the stericated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Steritruncated 6 simplex editSteritruncated 6 simplex Type uniform 6 polytope Schlafli symbol t0 1 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 945 Cells 2940 Faces 3780 Edges 2100 Vertices 420 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Cellitruncated heptapeton Acronym catal Jonathan Bowers 2 Coordinates edit The vertices of the steritruncated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 1 1 1 2 3 This construction is based on facets of the steritruncated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Stericantellated 6 simplex editStericantellated 6 simplex Type uniform 6 polytope Schlafli symbol t0 2 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 1050 Cells 3465 Faces 5040 Edges 3150 Vertices 630 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Cellirhombated heptapeton Acronym cral Jonathan Bowers 3 Coordinates edit The vertices of the stericantellated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 1 1 2 2 3 This construction is based on facets of the stericantellated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Stericantitruncated 6 simplex editstericantitruncated 6 simplex Type uniform 6 polytope Schlafli symbol t0 1 2 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 1155 Cells 4410 Faces 7140 Edges 5040 Vertices 1260 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Celligreatorhombated heptapeton Acronym cagral Jonathan Bowers 4 Coordinates edit The vertices of the stericanttruncated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 0 1 2 3 4 This construction is based on facets of the stericantitruncated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Steriruncinated 6 simplex editsteriruncinated 6 simplex Type uniform 6 polytope Schlafli symbol t0 3 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 700 Cells 1995 Faces 2660 Edges 1680 Vertices 420 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Celliprismated heptapeton Acronym copal Jonathan Bowers 5 Coordinates edit The vertices of the steriruncinated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 1 2 2 3 3 This construction is based on facets of the steriruncinated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Steriruncitruncated 6 simplex editsteriruncitruncated 6 simplex Type uniform 6 polytope Schlafli symbol t0 1 3 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 945 Cells 3360 Faces 5670 Edges 4410 Vertices 1260 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Celliprismatotruncated heptapeton Acronym captal Jonathan Bowers 6 Coordinates edit The vertices of the steriruncittruncated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 0 1 2 3 4 This construction is based on facets of the steriruncitruncated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Steriruncicantellated 6 simplex editsteriruncicantellated 6 simplex Type uniform 6 polytope Schlafli symbol t0 2 3 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 1050 Cells 3675 Faces 5880 Edges 4410 Vertices 1260 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Bistericantitruncated 6 simplex as t1 2 3 5 3 3 3 3 3 Celliprismatorhombated heptapeton Acronym copril Jonathan Bowers 7 Coordinates edit The vertices of the steriruncitcantellated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 0 1 2 3 4 This construction is based on facets of the steriruncicantellated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Steriruncicantitruncated 6 simplex editSteriuncicantitruncated 6 simplex Type uniform 6 polytope Schlafli symbol t0 1 2 3 4 3 3 3 3 3 Coxeter Dynkin diagrams nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 faces 105 4 faces 1155 Cells 4620 Faces 8610 Edges 7560 Vertices 2520 Vertex figure Coxeter group A6 35 order 5040 Properties convex Alternate names edit Great cellated heptapeton Acronym gacal Jonathan Bowers 8 Coordinates edit The vertices of the steriruncicantittruncated 6 simplex can be most simply positioned in 7 space as permutations of 0 0 1 2 3 4 5 This construction is based on facets of the steriruncicantitruncated 7 orthoplex Images edit orthographic projections Ak Coxeter plane A6 A5 A4 Graph nbsp nbsp nbsp Dihedral symmetry 7 6 5 Ak Coxeter plane A3 A2 Graph nbsp nbsp Dihedral symmetry 4 3 Related uniform 6 polytopes editThe truncated 6 simplex is one of 35 uniform 6 polytopes based on the 3 3 3 3 3 Coxeter group all shown here in A6 Coxeter plane orthographic projections A6 polytopes nbsp t0 nbsp t1 nbsp t2 nbsp t0 1 nbsp t0 2 nbsp t1 2 nbsp t0 3 nbsp t1 3 nbsp t2 3 nbsp t0 4 nbsp t1 4 nbsp t0 5 nbsp t0 1 2 nbsp t0 1 3 nbsp t0 2 3 nbsp t1 2 3 nbsp t0 1 4 nbsp t0 2 4 nbsp t1 2 4 nbsp t0 3 4 nbsp t0 1 5 nbsp t0 2 5 nbsp t0 1 2 3 nbsp t0 1 2 4 nbsp t0 1 3 4 nbsp t0 2 3 4 nbsp t1 2 3 4 nbsp t0 1 2 5 nbsp t0 1 3 5 nbsp t0 2 3 5 nbsp t0 1 4 5 nbsp t0 1 2 3 4 nbsp t0 1 2 3 5 nbsp t0 1 2 4 5 nbsp t0 1 2 3 4 5Notes edit Klitzing x3o3o3o3x3o scal Klitzing x3x3o3o3x3o catal Klitzing x3o3x3o3x3o cral Klitzing x3x3x3o3x3o cagral Klitzing x3o3o3x3x3o copal Klitzing x3x3o3x3x3o captal Klitzing x3o3x3x3x3o copril Klitzing x3x3x3x3x3o gacal 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 External 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 Stericated 6 simplexes amp oldid 1148115588 Stericantellated 6 simplex, wikipedia, wiki, book, books, library,

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