In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, including 6th-order truncations from the regular 7-simplex. There are 20unique hexications for the 7-simplex, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. The simple hexicated 7-simplex is also called an expanded 7-simplex, with only the first and last nodes ringed, is constructed by an expansionoperation applied to the regular 7-simplex. The highest form, the hexipentisteriruncicantitruncated 7-simplex is more simply called a omnitruncated 7-simplex with all of the nodes ringed.
Hexicated 7-simplex
In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, a hexication of the regular 7-simplex, or alternately can be seen as an expansion operation. .
The vertices of the hexicated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexicated 8-orthoplex,. A second construction in 8-space, from the center of a rectified 8-orthoplex is given by coordinate permutations of:
Images
Hexitruncated 7-simplex
Alternate names
Petitruncated octaexon
Coordinates
The vertices of the hexitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexitruncated 8-orthoplex,.
Images
Hexicantellated 7-simplex
Alternate names
Petirhombated octaexon
Coordinates
The vertices of the hexicantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexicantellated 8-orthoplex,.
Images
Hexiruncinated 7-simplex
Alternate names
Petiprismated hexadecaexon
Coordinates
The vertices of the hexiruncinated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexiruncinated 8-orthoplex,.
Images
Hexicantitruncated 7-simplex
Alternate names
Petigreatorhombated octaexon
Coordinates
The vertices of the hexicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexicantitruncated 8-orthoplex,.
Images
Hexiruncitruncated 7-simplex
Alternate names
Petiprismatotruncated octaexon
Coordinates
The vertices of the hexiruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexiruncitruncated 8-orthoplex,.
Images
Hexiruncicantellated 7-simplex
In seven-dimensional geometry, a hexiruncicantellated 7-simplex is a uniform 7-polytope.
Alternate names
Petiprismatorhombated octaexon
Coordinates
The vertices of the hexiruncicantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexiruncicantellated 8-orthoplex,.
Images
Hexisteritruncated 7-simplex
Alternate names
Peticellitruncated octaexon
Coordinates
The vertices of the hexisteritruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexisteritruncated 8-orthoplex,.
Images
Hexistericantellated 7-simplex
Alternate names
Peticellirhombihexadecaexon
Coordinates
The vertices of the hexistericantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexistericantellated 8-orthoplex,.
Images
Hexipentitruncated 7-simplex
Alternate names
Petiteritruncated hexadecaexon
Coordinates
The vertices of the hexipentitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexipentitruncated 8-orthoplex,.
Images
Hexiruncicantitruncated 7-simplex
Alternate names
Petigreatoprismated octaexon
Coordinates
The vertices of the hexiruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexiruncicantitruncated 8-orthoplex,.
Images
Hexistericantitruncated 7-simplex
Alternate names
Peticelligreatorhombated octaexon
Coordinates
The vertices of the hexistericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexistericantitruncated 8-orthoplex,.
Images
Hexisteriruncitruncated 7-simplex
Alternate names
Peticelliprismatotruncated octaexon
Coordinates
The vertices of the hexisteriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexisteriruncitruncated 8-orthoplex,.
Images
Hexisteriruncicantellated 7-simplex
Alternate names
Peticelliprismatorhombihexadecaexon
Coordinates
The vertices of the hexisteriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexisteriruncitruncated 8-orthoplex,.
Images
Hexipenticantitruncated 7-simplex
Alternate names
Petiterigreatorhombated octaexon
Coordinates
The vertices of the hexipenticantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexipenticantitruncated 8-orthoplex,.
Images
Hexipentiruncitruncated 7-simplex
Alternate names
Petiteriprismatotruncated hexadecaexon
Coordinates
The vertices of the hexisteriruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexisteriruncicantitruncated 8-orthoplex,.
Images
Hexisteriruncicantitruncated 7-simplex
Alternate names
Petigreatocellated octaexon
Coordinates
The vertices of the hexisteriruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexisteriruncicantitruncated 8-orthoplex,.
Images
Hexipentiruncicantitruncated 7-simplex
Alternate names
Petiterigreatoprismated octaexon
Coordinates
The vertices of the hexipentiruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexipentiruncicantitruncated 8-orthoplex,.
Images
Hexipentistericantitruncated 7-simplex
Alternate names
Petitericelligreatorhombihexadecaexon
Coordinates
The vertices of the hexipentistericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexipentistericantitruncated 8-orthoplex,.
Images
Omnitruncated 7-simplex
The omnitruncated 7-simplex is composed of 40320 vertices and is the largest uniform 7-polytope in the A7symmetry of the regular 7-simplex. It can also be called the hexipentisteriruncicantitruncated 7-simplex which is the long name for the omnitruncation for 7 dimensions, with all reflectivemirrors active.
The vertices of the omnitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the hexipentisteriruncicantitruncated 8-orthoplex, t0,1,2,3,4,5,6,.
