![]() 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentellated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Penticantellated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Penticantitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentiruncinated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentiruncitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentiruncicantellated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentiruncicantitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentistericated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentisteritruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentistericantellated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentistericantitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentisteriruncinated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentisteriruncitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentisteriruncicantellated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() Pentisteriruncicantitruncated 7-simplex ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
In seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-simplex.
There are 16 unique pentellations of the 7-simplex with permutations of truncations, cantellations, runcinations, and sterications.
Pentellated 7-simplex
[edit]Pentellated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 1260 |
Vertices | 168 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Small terated octaexon (acronym: seto) (Jonathan Bowers)[1]
Coordinates
[edit]The vertices of the pentellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,1,1,2). This construction is based on facets of the pentellated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentitruncated 7-simplex
[edit]pentitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 5460 |
Vertices | 840 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Teritruncated octaexon (acronym: teto) (Jonathan Bowers)[2]
Coordinates
[edit]The vertices of the pentitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,1,2,3). This construction is based on facets of the pentitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Penticantellated 7-simplex
[edit]Penticantellated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,2,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 11760 |
Vertices | 1680 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Terirhombated octaexon (acronym: tero) (Jonathan Bowers)[3]
Coordinates
[edit]The vertices of the penticantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,2,2,3). This construction is based on facets of the penticantellated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Penticantitruncated 7-simplex
[edit]penticantitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,2,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | |
Vertices | |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Terigreatorhombated octaexon (acronym: tegro) (Jonathan Bowers)[4]
Coordinates
[edit]The vertices of the penticantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,1,2,3,4). This construction is based on facets of the penticantitruncated 8-orthoplex.
Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentiruncinated 7-simplex
[edit]pentiruncinated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,3,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 10920 |
Vertices | 1680 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Teriprismated octaexon (acronym: tepo) (Jonathan Bowers)[5]
Coordinates
[edit]The vertices of the pentiruncinated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,2,2,3). This construction is based on facets of the pentiruncinated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentiruncitruncated 7-simplex
[edit]pentiruncitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,3,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 27720 |
Vertices | 5040 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Teriprismatotruncated octaexon (acronym: tapto) (Jonathan Bowers)[6]
Coordinates
[edit]The vertices of the pentiruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,2,3,4). This construction is based on facets of the pentiruncitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentiruncicantellated 7-simplex
[edit]pentiruncicantellated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,2,3,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 25200 |
Vertices | 5040 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Teriprismatorhombated octaexon (acronym: tapro) (Jonathan Bowers)[7]
Coordinates
[edit]The vertices of the pentiruncicantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,3,3,4). This construction is based on facets of the pentiruncicantellated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentiruncicantitruncated 7-simplex
[edit]pentiruncicantitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,2,3,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 45360 |
Vertices | 10080 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Terigreatoprismated octaexon (acronym: tegapo) (Jonathan Bowers)[8]
Coordinates
[edit]The vertices of the pentiruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,1,2,3,4,5). This construction is based on facets of the pentiruncicantitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentistericated 7-simplex
[edit]pentistericated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 4200 |
Vertices | 840 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Tericellated octaexon (acronym: teco) (Jonathan Bowers)[9]
Coordinates
[edit]The vertices of the pentistericated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,0,1,2,2,2,3). This construction is based on facets of the pentistericated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentisteritruncated 7-simplex
[edit]pentisteritruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 15120 |
Vertices | 3360 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Tericellitruncated octaexon (acronym: tecto) (Jonathan Bowers)[10]
Coordinates
[edit]The vertices of the pentisteritruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,4,4). This construction is based on facets of the pentisteritruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentistericantellated 7-simplex
[edit]pentistericantellated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,2,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 25200 |
Vertices | 5040 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Tericellirhombated octaexon (acronym: tecro) (Jonathan Bowers)[11]
Coordinates
[edit]The vertices of the pentistericantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,3,4). This construction is based on facets of the pentistericantellated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentistericantitruncated 7-simplex
[edit]pentistericantitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,2,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 40320 |
Vertices | 10080 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Tericelligreatorhombated octaexon (acronym: tecagro) (Jonathan Bowers)[12]
Coordinates
[edit]The vertices of the pentistericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,2,3,4,5). This construction is based on facets of the pentistericantitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentisteriruncinated 7-simplex
[edit]Pentisteriruncinated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,3,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 15120 |
Vertices | 3360 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Bipenticantitruncated 7-simplex as t1,2,3,6{3,3,3,3,3,3}
- Tericelliprismated octaexon (acronym: tacpo) (Jonathan Bowers)[13]
Coordinates
[edit]The vertices of the pentisteriruncinated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,3,3,3,4). This construction is based on facets of the pentisteriruncinated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [7] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [5] | [4] | [3] |
Pentisteriruncitruncated 7-simplex
[edit]pentisteriruncitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,3,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 40320 |
Vertices | 10080 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Tericelliprismatotruncated octaexon (acronym: tacpeto) (Jonathan Bowers)[14]
Coordinates
[edit]The vertices of the pentisteriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,3,3,4,5). This construction is based on facets of the pentisteriruncitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [[7]] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [[5]] | [4] | [[3]] |
Pentisteriruncicantellated 7-simplex
[edit]pentisteriruncicantellated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,2,3,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 40320 |
Vertices | 10080 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Bipentiruncicantitruncated 7-simplex as t1,2,3,4,6{3,3,3,3,3,3}
- Tericelliprismatorhombated octaexon (acronym: tacpro) (Jonathan Bowers)[15]
Coordinates
[edit]The vertices of the pentisteriruncicantellated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,3,4,4,5). This construction is based on facets of the pentisteriruncicantellated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [[7]] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [[5]] | [4] | [[3]] |
Pentisteriruncicantitruncated 7-simplex
[edit]pentisteriruncicantitruncated 7-simplex | |
---|---|
Type | uniform 7-polytope |
Schläfli symbol | t0,1,2,3,4,5{3,3,3,3,3,3} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6-faces | |
5-faces | |
4-faces | |
Cells | |
Faces | |
Edges | 70560 |
Vertices | 20160 |
Vertex figure | |
Coxeter groups | A7, [3,3,3,3,3,3] |
Properties | convex |
Alternate names
[edit]- Great terated octaexon (acronym: geto) (Jonathan Bowers)[16]
Coordinates
[edit]The vertices of the pentisteriruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of (0,0,1,2,3,4,5,6). This construction is based on facets of the pentisteriruncicantitruncated 8-orthoplex.
Images
[edit]Ak Coxeter plane | A7 | A6 | A5 |
---|---|---|---|
Graph | ![]() |
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Dihedral symmetry | [8] | [[7]] | [6] |
Ak Coxeter plane | A4 | A3 | A2 |
Graph | ![]() |
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Dihedral symmetry | [[5]] | [4] | [[3]] |
Related polytopes
[edit]These polytopes are a part of a set of 71 uniform 7-polytopes with A7 symmetry.
Notes
[edit]- ^ Klitzing, (x3o3o3o3o3x3o - seto)
- ^ Klitzing, (x3x3o3o3o3x3o - teto)
- ^ Klitzing, (x3o3x3o3o3x3o - tero)
- ^ Klitzing, (x3x3x3oxo3x3o - tegro)
- ^ Klitzing, (x3o3o3x3o3x3o - tepo)
- ^ Klitzing, (x3x3o3x3o3x3o - tapto)
- ^ Klitzing, (x3o3x3x3o3x3o - tapro)
- ^ Klitzing, (x3x3x3x3o3x3o - tegapo)
- ^ Klitzing, (x3o3o3o3x3x3o - teco)
- ^ Klitzing, (x3x3o3o3x3x3o - tecto)
- ^ Klitzing, (x3o3x3o3x3x3o - tecro)
- ^ Klitzing, (x3x3x3o3x3x3o - tecagro)
- ^ Klitzing, (x3o3o3x3x3x3o - tacpo)
- ^ Klitzing, (x3x3o3x3x3x3o - tacpeto)
- ^ Klitzing, (x3o3x3x3x3x3o - tacpro)
- ^ Klitzing, (x3x3x3x3x3x3o - geto)
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. "7D uniform polytopes (polyexa)". x3o3o3o3o3x3o - seto, x3x3o3o3o3x3o - teto, x3o3x3o3o3x3o - tero, x3x3x3oxo3x3o - tegro, x3o3o3x3o3x3o - tepo, x3x3o3x3o3x3o - tapto, x3o3x3x3o3x3o - tapro, x3x3x3x3o3x3o - tegapo, x3o3o3o3x3x3o - teco, x3x3o3o3x3x3o - tecto, x3o3x3o3x3x3o - tecro, x3x3x3o3x3x3o - tecagro, x3o3o3x3x3x3o - tacpo, x3x3o3x3x3x3o - tacpeto, x3o3x3x3x3x3o - tacpro, x3x3x3x3x3x3o - geto