在雙曲幾何學中,三階六邊形鑲嵌蜂巢體又稱三階六邊形鑲嵌堆砌,是一種完全填滿仿緊雙曲空間的幾何結構,是十一種三維仿緊正雙曲密鋪之一[1],由正六邊形鑲嵌的胞組成。由於其胞為一種無限面體,因此該幾何結構為仿緊空間。
事实速览 三階六邊形鑲嵌蜂巢體, 類型 ...
三階六邊形鑲嵌蜂巢體 |
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類型 | 雙曲正堆砌 |
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家族 | 堆砌 |
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維度 | 三維雙曲空間 |
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對偶多胞形 | 六階四面體堆砌 |
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數學表示法 |
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考克斯特符號
| ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png)
![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png)
![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png)
![branch_11](//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_branch_11.png) ![split2](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png)
![branch_11](//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_branch_11.png) ![splitcross](//upload.wikimedia.org/wikipedia/commons/2/2c/CDel_splitcross.png) ↔ ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_g](//upload.wikimedia.org/wikipedia/commons/7/78/CDel_node_g.png) ![3sg](//upload.wikimedia.org/wikipedia/commons/7/72/CDel_3sg.png) ![node_g](//upload.wikimedia.org/wikipedia/commons/7/78/CDel_node_g.png) ![3g](//upload.wikimedia.org/wikipedia/commons/5/5a/CDel_3g.png) ↔ ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_g](//upload.wikimedia.org/wikipedia/commons/7/78/CDel_node_g.png) ![3sg](//upload.wikimedia.org/wikipedia/commons/7/72/CDel_3sg.png) ↔
![node_h0](//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ↔ ![branch_11](//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_branch_11.png) ![split2](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_split2.png) ![node_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_h0](//upload.wikimedia.org/wikipedia/commons/5/5d/CDel_node_h0.png) |
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施萊夫利符號 | {6,3,3} t{3,6,3} 2t{6,3,6} 2t{6,3[3]} t{3[3,3]} |
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性質 |
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胞 | {6,3} |
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面 | {6} ![](//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/6-fold_rotation_axis.svg/35px-6-fold_rotation_axis.svg.png) |
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組成與佈局 |
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顶点图 | {3,3} ![](//upload.wikimedia.org/wikipedia/commons/thumb/b/b8/Uniform_polyhedron-33-t0.png/40px-Uniform_polyhedron-33-t0.png) |
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對稱性 |
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對稱群 | , [6,3,3]
, [3,6,3]
, [6,3,6]
, [6,3[3]]
, [3[3,3]] |
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特性 |
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正 |
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