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|- |bgcolor=#e7dcc3|Cells||30px |- |bgcolor=#e7dcc3|Faces||30px |- |bgcolor=#e7dcc3|Face figure||30px |- |bgcolor=#e7dcc3|Edge figure||30px |- |bgcolor=#e7dcc3|Vertex figure||50px |- |bgcolor=#e7dcc3|Dual||Small stellated 120-cell honeycomb |- |bgcolor=#e7dcc3|Coxeter group||4, () |- |bgcolor=#e7dcc3|Properties||Regular |} In the geometry of hyperbolic 4-space, the pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol , 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. == See also == * List of regular polytopes 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pentagrammic-order 600-cell honeycomb」の詳細全文を読む スポンサード リンク
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