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Heptagonal tiling honeycomb : ウィキペディア英語版 | Heptagonal tiling honeycomb 80px |- |bgcolor=#e7dcc3|Faces||Heptagon |- |bgcolor=#e7dcc3|Vertex figure||tetrahedron |- |bgcolor=#e7dcc3|Dual|| |- |bgcolor=#e7dcc3|Coxeter group||() |- |bgcolor=#e7dcc3|Properties||Regular |} In the geometry of hyperbolic 3-space, the heptagonal tiling honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the heptagonal tiling honeycomb is , with three heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is an tetrahedron, . == Related polytopes and honeycombs == It is a part of a series of regular polytopes and honeycombs with Schläfli symbol, and tetrahedral vertex figures:
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