雙六角錐![雙六角錐](//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Hexagonale_bipiramide.png/240px-Hexagonale_bipiramide.png) |
類別 | 雙錐體 |
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對偶多面體 | 六角柱 |
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數學表示法 |
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考克斯特符號
| ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png)
![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![3](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) |
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施萊夫利符號 | { } + {6} |
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康威表示法 | dP6![在维基数据编辑](//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png) |
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性質 |
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面 | 12 |
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邊 | 18 |
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頂點 | 8 |
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歐拉特徵數 | F=12, E=18, V=8 (χ=2) |
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組成與佈局 |
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面的種類 | 12個三角形(側面) 基底為六邊形 |
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面的佈局
| V4.4.6 |
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對稱性 |
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對稱群 | D6h, [6,2], (*226), order 24 |
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旋轉對稱群
| D6, [6,2]+, (226), order 12 |
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特性 |
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凸 |
圖像 |
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在幾何學中,雙六角錐是指以六邊形做為基底的雙錐體,可以視為兩個六角錐以底面些些組合成的多面體或一個六邊形(不含內部)的每一個頂點向它所在的平面外一點與該點由平面鏡射所產生的另外一個點依次連直線段而構成。所有雙六角錐都有12個面,18個邊和8個頂點[1][2]。所有雙六角錐都是十二面體。
雙六角錐有時被稱為dodecadeltahedron[3]以區分其與正多面體——正十二面體(dodecahedron)的歧義。
相關多面體與鑲嵌[编辑]
半正六邊形二面體球面多面體
對稱群:[6,2], (*622)
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[6,2]+, (622)
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[1+,6,2], (322)
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[6,2+], (2*3)
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![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) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![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_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![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) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![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) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![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) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![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_1](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![2x](//upload.wikimedia.org/wikipedia/commons/1/1c/CDel_2x.png)
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![node_h1](//upload.wikimedia.org/wikipedia/commons/4/48/CDel_node_h1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_h](//upload.wikimedia.org/wikipedia/commons/2/28/CDel_node_h.png) ![2x](//upload.wikimedia.org/wikipedia/commons/1/1c/CDel_2x.png)
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{6,2}
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t{6,2}
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r{6,2}
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2t{6,2}=t{2,6}
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2r{6,2}={2,6}
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rr{6,2}
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tr{6,2}
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sr{6,2}
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h{6,2}
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s{2,6}
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半正對偶
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_f1](//upload.wikimedia.org/wikipedia/commons/9/9b/CDel_node_f1.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![2x](//upload.wikimedia.org/wikipedia/commons/1/1c/CDel_2x.png)
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![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![2](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![6](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![node_fh](//upload.wikimedia.org/wikipedia/commons/6/6f/CDel_node_fh.png) ![2x](//upload.wikimedia.org/wikipedia/commons/1/1c/CDel_2x.png)
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V62
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V122
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V62
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V4.4.6
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V26
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V4.4.6
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V4.4.12
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V3.3.3.6
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V32
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V3.3.3.3
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參考文獻[编辑]
- ^ Hexagonal Dipyramid (页面存档备份,存于互联网档案馆) dmccooey.com [2014-6-23]
- ^ Pugh, Anthony, Polyhedra: A Visual Approach, University of California Press: 21, 27, 62, 1976 [2014-06-23], ISBN 9780520030565, (原始内容存档于2014-07-09) .
- ^ Anthony Pugh, Polyhedra: A Visual Approach, Dome series, 圖解, University of California Press, 1976, ISBN 0520030567, ISBN 9780520030565, 第35頁
外部連結[编辑]