双六角锥![双六角锥](//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Hexagonale_bipiramide.png/240px-Hexagonale_bipiramide.png) |
类别 | 双锥体 |
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对偶多面体 | 六角柱 |
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数学表示法 |
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考克斯特符号
| ![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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施莱夫利符号 | { } + {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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性质 |
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面 | 12 |
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边 | 18 |
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顶点 | 8 |
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欧拉特征数 | F=12, E=18, V=8 (χ=2) |
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组成与布局 |
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面的种类 | 12个三角形(侧面) 基底为六边形 |
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面的布局
| V4.4.6 |
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对称性 |
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对称群 | D6h, [6,2], (*226), order 24 |
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旋转对称群
| D6, [6,2]+, (226), order 12 |
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特性 |
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凸 |
图像 |
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在几何学中,双六角锥是指以六边形做为基底的双锥体,可以视为两个六角锥以底面些些组合成的多面体或一个六边形(不含内部)的每一个顶点向它所在的平面外一点与该点由平面镜射所产生的另外一个点依次连直线段而构成。所有双六角锥都有12个面,18个边和8个顶点[1][2]。所有双六角锥都是十二面体。
双六角锥有时被称为dodecadeltahedron[3]以区分其与正多面体——正十二面体(dodecahedron)的歧义。
相关多面体与镶嵌[编辑]
半正六边形二面体球面多面体
对称群:[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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半正对偶
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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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参考文献[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, 图解, University of California Press, 1976, ISBN 0520030567, ISBN 9780520030565, 第35页
外部链接[编辑]