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Pentellated 7-orthoplexes

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Pentellated 7-orthoplexes
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In seven-dimensional geometry, a pentellated 7-orthoplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-orthoplex.

More information Orthogonal projections in B6 Coxeter plane ...

There are 32 unique pentellations of the 7-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-cube.

These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry.

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Pentellated 7-orthoplex

Pentellated 7-orthoplex
Typeuniform 7-polytope
Schläfli symbolt0,5{35,4}
Coxeter diagram
6-faces
5-faces
4-faces
Cells
Faces
Edges20160
Vertices2688
Vertex figure
Coxeter groupsB7, [4,35]
Propertiesconvex

Alternate names

  • Small terated hecatonicosoctaexon (acronym: Staz) (Jonathan Bowers)[1]

Coordinates

Coordinates are permutations of (0,1,1,1,1,1,2)2

Images

More information Coxeter plane, B7 / A6 ...
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Pentitruncated 7-orthoplex

More information pentitruncated 7-orthoplex ...

Alternate names

  • Teritruncated hecatonicosoctaexon (acronym: Tetaz) (Jonathan Bowers)[2]

Images

More information Coxeter plane, B7 / A6 ...

Coordinates

Coordinates are permutations of (0,1,1,1,1,2,3).

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Penticantellated 7-orthoplex

More information Penticantellated 7-orthoplex ...

Alternate names

  • Terirhombated hecatonicosoctaexon (acronym: Teroz) (Jonathan Bowers)[3]

Coordinates

Coordinates are permutations of (0,1,1,1,2,2,3)2.

Images

More information Coxeter plane, B7 / A6 ...

Penticantitruncated 7-orthoplex

More information penticantitruncated 7-orthoplex ...

Alternate names

  • Terigreatorhombated hecatonicosoctaexon (acronym: Tograz) (Jonathan Bowers)[4]

Coordinates

Coordinates are permutations of (0,1,1,1,2,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentiruncinated 7-orthoplex

More information pentiruncinated 7-orthoplex ...

Alternate names

  • Teriprismated hecatonicosoctaexon (acronym: Topaz) (Jonathan Bowers)[5]

Coordinates

The coordinates are permutations of (0,1,1,2,2,2,3)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentiruncitruncated 7-orthoplex

More information pentiruncitruncated 7-orthoplex ...

Alternate names

  • Teriprismatotruncated hecatonicosoctaexon (acronym: Toptaz) (Jonathan Bowers)[6]

Coordinates

Coordinates are permutations of (0,1,1,2,2,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentiruncicantellated 7-orthoplex

More information pentiruncicantellated 7-orthoplex ...

Alternate names

  • Teriprismatorhombated hecatonicosoctaexon (acronym: Toparz) (Jonathan Bowers)[7]

Coordinates

Coordinates are permutations of (0,1,1,2,3,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentiruncicantitruncated 7-orthoplex

More information pentiruncicantitruncated 7-orthoplex ...

Alternate names

  • Terigreatoprismated hecatonicosoctaexon (acronym: Tegopaz) (Jonathan Bowers)[8]

Coordinates

Coordinates are permutations of (0,1,1,2,3,4,5)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentistericated 7-orthoplex

More information pentistericated 7-orthoplex ...

Alternate names

  • Tericellated hecatonicosoctaexon (acronym: Tocaz) (Jonathan Bowers)[9]

Images

More information Coxeter plane, B7 / A6 ...

Coordinates

Coordinates are permutations of (0,1,2,2,2,2,3)2.

Pentisteritruncated 7-orthoplex

More information pentisteritruncated 7-orthoplex ...

Alternate names

  • Tericellitruncated hecatonicosoctaexon (acronym: Tacotaz) (Jonathan Bowers)[10]

Coordinates

Coordinates are permutations of (0,1,2,2,2,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentistericantellated 7-orthoplex

More information pentistericantellated 7-orthoplex ...

Alternate names

  • Tericellirhombated hecatonicosoctaexon (acronym: Tocarz) (Jonathan Bowers)[11]

Coordinates

Coordinates are permutations of (0,1,2,2,3,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...
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Pentistericantitruncated 7-orthoplex

More information pentistericantitruncated 7-orthoplex ...

Alternate names

  • Tericelligreatorhombated hecatonicosoctaexon (acronym: Tecagraz) (Jonathan Bowers)[12]

Coordinates

Coordinates are permutations of (0,1,2,2,3,4,5)2.

Images

More information Coxeter plane, B7 / A6 ...

Pentisteriruncinated 7-orthoplex

More information Pentisteriruncinated 7-orthoplex ...

Alternate names

  • Bipenticantitruncated 7-orthoplex as t1,2,3,6{35,4}
  • Tericelliprismated hecatonicosoctaexon (acronym: Tecpaz) (Jonathan Bowers)[13]

Coordinates

Coordinates are permutations of (0,1,2,3,3,3,4)2.

Images

More information Coxeter plane, B7 / A6 ...

Pentisteriruncitruncated 7-orthoplex

More information pentisteriruncitruncated 7-orthoplex ...

Alternate names

  • Tericelliprismatotruncated hecatonicosoctaexon (acronym: Tecpotaz) (Jonathan Bowers)[14]

Coordinates

Coordinates are permutations of (0,1,2,3,3,4,5)2.

Images

More information Coxeter plane, B7 / A6 ...

Pentisteriruncicantellated 7-orthoplex

More information pentisteriruncicantellated 7-orthoplex ...

Alternate names

  • Bipentiruncicantitruncated 7-orthoplex as t1,2,3,4,6{35,4}
  • Tericelliprismatorhombated hecatonicosoctaexon (acronym: Tacparez) (Jonathan Bowers)[15]

Coordinates

Coordinates are permutations of (0,1,2,3,4,4,5)2.

Images

More information Coxeter plane, B7 / A6 ...

Pentisteriruncicantitruncated 7-orthoplex

More information pentisteriruncicantitruncated 7-orthoplex ...

Alternate names

  • Great terated hecatonicosoctaexon (acronym: Gotaz) (Jonathan Bowers)[16]

Coordinates

Coordinates are permutations of (0,1,2,3,4,5,6)2.

Images

More information Coxeter plane, B7 / A6 ...

Notes

References

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