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- Q17078130 subject Q8210724.
- Q17078130 subject Q8521444.
- Q17078130 abstract "In the geometry of hyperbolic 4-space, the pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in a pentagrammic arrangement. It is dual to the small stellated 120-cell honeycomb. It can be considered the higher-dimensional analogue of the 4-dimensional icosahedral 120-cell and the 3-dimensional great dodecahedron. It is related to the order-5 icosahedral 120-cell honeycomb and great 120-cell honeycomb: the icosahedral 120-cells and great 120-cells in each honeycomb are replaced by the 600-cells that are their convex hulls, thus forming the pentagrammic-order 600-cell honeycomb.This honeycomb can also be constructed by taking the order-5 5-cell honeycomb and replacing clusters of 600 5-cells meeting at a vertex with 600-cells. Each 5-cell belongs to five such clusters, and thus the pentagrammic-order 600-cell honeycomb has density 5.".
- Q17078130 thumbnail Schlegel_wireframe_600-cell_vertex-centered.png?width=300.
- Q17078130 wikiPageWikiLink Q1053857.
- Q17078130 wikiPageWikiLink Q1189295.
- Q17078130 wikiPageWikiLink Q127661.
- Q17078130 wikiPageWikiLink Q129916.
- Q17078130 wikiPageWikiLink Q1347011.
- Q17078130 wikiPageWikiLink Q1549165.
- Q17078130 wikiPageWikiLink Q160003.
- Q17078130 wikiPageWikiLink Q1634717.
- Q17078130 wikiPageWikiLink Q169451.
- Q17078130 wikiPageWikiLink Q17018982.
- Q17078130 wikiPageWikiLink Q17077962.
- Q17078130 wikiPageWikiLink Q17077997.
- Q17078130 wikiPageWikiLink Q17078271.
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- Q17078130 wikiPageWikiLink Q1878538.
- Q17078130 wikiPageWikiLink Q19821.
- Q17078130 wikiPageWikiLink Q2534367.
- Q17078130 wikiPageWikiLink Q2610844.
- Q17078130 wikiPageWikiLink Q2745944.
- Q17078130 wikiPageWikiLink Q3144547.
- Q17078130 wikiPageWikiLink Q5259331.
- Q17078130 wikiPageWikiLink Q5598608.
- Q17078130 wikiPageWikiLink Q598843.
- Q17078130 wikiPageWikiLink Q7874246.
- Q17078130 wikiPageWikiLink Q8087.
- Q17078130 wikiPageWikiLink Q8210724.
- Q17078130 wikiPageWikiLink Q8521444.
- Q17078130 comment "In the geometry of hyperbolic 4-space, the pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in a pentagrammic arrangement. It is dual to the small stellated 120-cell honeycomb. It can be considered the higher-dimensional analogue of the 4-dimensional icosahedral 120-cell and the 3-dimensional great dodecahedron.".
- Q17078130 label "Pentagrammic-order 600-cell honeycomb".
- Q17078130 depiction Schlegel_wireframe_600-cell_vertex-centered.png.