六方偏方面体 |
类别 | 偏方面体 |
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对偶多面体 | 六角反棱柱 |
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考克斯特符号
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面 | 12 |
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边 | 24 |
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顶点 | 14 |
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欧拉特征数 | F=12, E=24, V=14 (χ=2) |
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面的种类 | 12个筝形 |
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面的布局
| V6.3.3.3 |
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对称群 | D6d, [2+,12], (2*6), 24阶 |
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旋转对称群
| D6, [2,6]+, (226), order 12 |
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凸、面可递 |
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在几何学中,六方偏方面体是一个由12个全等的筝形组成的多面体,是十二面体的一种,同时也是筝形多面体。其对偶多面体为六角反棱柱。在化学中,原子的晶体结构可以在空间中以六方偏方面体形状的胞重复排列。[1]
六方偏方面体共由12个面、24条边和14个顶点组成。组成六方偏方面体的12个面都是筝形,而组成六方偏方面体的14个顶点有2个是6个筝形的公共顶点,另外12个是3个筝形的公共顶点。[2]
六方偏方面体的变体
种类
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扭曲的梯形、等面
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不等面
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不等面且扭曲
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对称性
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D6, (662), [6,2]+, 12阶
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C6v, (*66), [6], 12阶
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C6, (66), [6]+, 6阶
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图像 (n=6)
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展开图
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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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{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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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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