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- Q7165142 subject Q8212788.
- Q7165142 abstract "In eight-dimensional geometry, a pentellated 8-simplex is a convex uniform 8-polytope with 5th order truncations of the regular 8-simplex.There are two unique pentellations of the 8-simplex. Including truncations, canetellations, runcinations, and sterications, there are 32 more pentellations. These polytopes are a part of a family 135 uniform 8-polytopes with A8 symmetry. A8, [38] has order 9 factorial symmetry, or 362880. The bipentalled form is symmetrically ringed, doubling the symmetry order to 725760, and is represented the double-bracketed group [[38]]. The A8 Coxeter plane projection shows order [9] symmetry for the pentellated 8-simplex, while the bipentellated 8-simple is doubled to [18] symmetry.".
- Q7165142 thumbnail 8-simplex_t0.svg?width=300.
- Q7165142 wikiPageExternalLink topes.htm.
- Q7165142 wikiPageExternalLink glossary.htm.
- Q7165142 wikiPageExternalLink productCd-0471010030.html.
- Q7165142 wikiPageWikiLink Q120976.
- Q7165142 wikiPageWikiLink Q129916.
- Q7165142 wikiPageWikiLink Q1347011.
- Q7165142 wikiPageWikiLink Q169451.
- Q7165142 wikiPageWikiLink Q3847020.
- Q7165142 wikiPageWikiLink Q3847067.
- Q7165142 wikiPageWikiLink Q3847476.
- Q7165142 wikiPageWikiLink Q4129097.
- Q7165142 wikiPageWikiLink Q4644299.
- Q7165142 wikiPageWikiLink Q5179941.
- Q7165142 wikiPageWikiLink Q519967.
- Q7165142 wikiPageWikiLink Q598843.
- Q7165142 wikiPageWikiLink Q62912.
- Q7165142 wikiPageWikiLink Q7165143.
- Q7165142 wikiPageWikiLink Q7874246.
- Q7165142 wikiPageWikiLink Q7885001.
- Q7165142 wikiPageWikiLink Q7885004.
- Q7165142 wikiPageWikiLink Q80553.
- Q7165142 wikiPageWikiLink Q8087.
- Q7165142 wikiPageWikiLink Q8212788.
- Q7165142 comment "In eight-dimensional geometry, a pentellated 8-simplex is a convex uniform 8-polytope with 5th order truncations of the regular 8-simplex.There are two unique pentellations of the 8-simplex. Including truncations, canetellations, runcinations, and sterications, there are 32 more pentellations. These polytopes are a part of a family 135 uniform 8-polytopes with A8 symmetry. A8, [38] has order 9 factorial symmetry, or 362880.".
- Q7165142 label "Pentellated 8-simplexes".
- Q7165142 depiction 8-simplex_t0.svg.
