Stericated 7-simplex
Alternate names
* Small cellated octaexon (acronym: sco) (Jonathan Bowers)Coordinates
The vertices of the ''stericated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,1,1,1,2). This construction is based on Facet (geometry), facets of the stericated 8-orthoplex.Images
Bistericated 7-simplex
Alternate names
* Small bicellated hexadecaexon (acronym: sabach) (Jonathan Bowers)Coordinates
The vertices of the ''bistericated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,1,1,1,1,2,2). This construction is based on Facet (geometry), facets of the bistericated 8-orthoplex.Images
Steritruncated 7-simplex
Alternate names
* Cellitruncated octaexon (acronym: cato) (Jonathan Bowers)Coordinates
The vertices of the ''steritruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,1,1,2,3). This construction is based on Facet (geometry), facets of the steritruncated 8-orthoplex.Images
Bisteritruncated 7-simplex
Alternate names
* Bicellitruncated octaexon (acronym: bacto) (Jonathan Bowers)Coordinates
The vertices of the ''bisteritruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,1,1,1,2,3,3). This construction is based on Facet (geometry), facets of the bisteritruncated 8-orthoplex.Images
Stericantellated 7-simplex
Alternate names
* Cellirhombated octaexon (acronym: caro) (Jonathan Bowers)Coordinates
The vertices of the ''stericantellated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,1,2,2,3). This construction is based on Facet (geometry), facets of the stericantellated 8-orthoplex.Images
Bistericantellated 7-simplex
Alternate names
* Bicellirhombihexadecaexon (acronym: bacroh) (Jonathan Bowers)Coordinates
The vertices of the ''bistericantellated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,1,1,2,2,3,3). This construction is based on Facet (geometry), facets of the stericantellated 8-orthoplex.Images
Stericantitruncated 7-simplex
Alternate names
* Celligreatorhombated octaexon (acronym: cagro) (Jonathan Bowers)Coordinates
The vertices of the ''stericantitruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,1,2,3,4). This construction is based on Facet (geometry), facets of the stericantitruncated 8-orthoplex.Images
Bistericantitruncated 7-simplex
Alternate names
* Bicelligreatorhombated octaexon (acronym: bacogro) (Jonathan Bowers)Coordinates
The vertices of the ''bistericantitruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,1,1,2,3,4,4). This construction is based on Facet (geometry), facets of the bistericantitruncated 8-orthoplex.Images
Steriruncinated 7-simplex
Alternate names
* Celliprismated octaexon (acronym: cepo) (Jonathan Bowers)Coordinates
The vertices of the ''steriruncinated 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 Facet (geometry), facets of the steriruncinated 8-orthoplex.Images
Steriruncitruncated 7-simplex
Alternate names
* Celliprismatotruncated octaexon (acronym: capto) (Jonathan Bowers)Coordinates
The vertices of the ''steriruncitruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,2,2,3,4). This construction is based on Facet (geometry), facets of the steriruncitruncated 8-orthoplex.Images
Steriruncicantellated 7-simplex
Alternate names
* Celliprismatorhombated octaexon (acronym: capro) (Jonathan Bowers)Coordinates
The vertices of the ''steriruncicantellated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,2,3,3,4). This construction is based on Facet (geometry), facets of the steriruncicantellated 8-orthoplex.Images
Bisteriruncitruncated 7-simplex
Alternate names
* Bicelliprismatotruncated hexadecaexon (acronym: bicpath) (Jonathan Bowers)Coordinates
The vertices of the ''bisteriruncitruncated 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 Facet (geometry), facets of the bisteriruncitruncated 8-orthoplex.Images
Steriruncicantitruncated 7-simplex
Alternate names
* Great cellated octaexon (acronym: gecco) (Jonathan Bowers)Coordinates
The vertices of the ''steriruncicantitruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,0,1,2,3,4,5). This construction is based on Facet (geometry), facets of the steriruncicantitruncated 8-orthoplex.Images
Bisteriruncicantitruncated 7-simplex
Alternate names
* Great bicellated hexadecaexon (gabach) (Jonathan Bowers) Klitizing, (o3x3x3x3x3x3o - gabach)Coordinates
The vertices of the ''bisteriruncicantitruncated 7-simplex'' can be most simply positioned in 8-space as permutations of (0,0,1,2,3,4,5,5). This construction is based on Facet (geometry), facets of the bisteriruncicantitruncated 8-orthoplex.Images
Related polytopes
This polytope is one of 71 uniform 7-polytopes with A7 symmetry.Notes
References
* Harold Scott MacDonald Coxeter, 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, 1995External links