此條目需要精通或熟悉相关主题的编者参与及协助编辑。 (2014年4月30日) 請邀請適合的人士改善本条目。更多的細節與詳情請參见討論頁。 |
擬正圖形(3.3)2 | (3.4)2 | (3.5)2 | (3.6)2 | (3.7)2 | (3.8)2 | (3.∞)2 |
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![{\displaystyle {\begin{Bmatrix}3\\3\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e71b34b3213ada4b4b1604f662a4048f82828eb2) | ![{\displaystyle {\begin{Bmatrix}3\\4\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/63ee10d4a0f1753e5c7e4ffad3180ecdecf47fb0) | ![{\displaystyle {\begin{Bmatrix}3\\5\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c8808db9ef955046a867a6b15fbf82aa8d85d115) | ![{\displaystyle {\begin{Bmatrix}3\\6\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/85a88a13bad0455f334c864345e235f3916a539c) | ![{\displaystyle {\begin{Bmatrix}3\\7\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4a8c29d21e181b47dabd1688c8ab7e1b5fb5161a) | ![{\displaystyle {\begin{Bmatrix}3\\8\end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd126e9f91eadb6e2ca02119405f6ed0011d636a) | ![{\displaystyle {\begin{Bmatrix}3\\\infty \end{Bmatrix}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d5aab56a10eef7f59c8781f0518777c649e63ae3) |
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r{3,3} | r{3,4} | r{3,5} | r{3,6} | r{3,7} | r{3,8} | r{3,∞} |
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![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.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) ![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) ![4](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.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](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) | ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![5](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.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](//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](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) | ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![7](//upload.wikimedia.org/wikipedia/commons/f/fc/CDel_7.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](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) | ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![8](//upload.wikimedia.org/wikipedia/commons/f/f7/CDel_8.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](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) | ![node](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![infin](//upload.wikimedia.org/wikipedia/commons/b/be/CDel_infin.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](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) |
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![](//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Uniform_polyhedron-33-t1.png/60px-Uniform_polyhedron-33-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Uniform_polyhedron-43-t1.png/60px-Uniform_polyhedron-43-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Uniform_polyhedron-53-t1.png/60px-Uniform_polyhedron-53-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Uniform_polyhedron-63-t1.png/60px-Uniform_polyhedron-63-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Uniform_tiling_73-t1.png/60px-Uniform_tiling_73-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/b/b6/Uniform_tiling_83-t1.png/60px-Uniform_tiling_83-t1.png) | ![](//upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Uniform_tiling_infin32-t1.png/60px-Uniform_tiling_infin32-t1.png) |
A quasiregular polyhedron or tiling has exactly two kinds of regular face, which alternate around each vertex. Their vertex figures are rectangles. |
在幾何學中,擬正多面體是一種半正多面體,并由兩種正多邊形面交錯環繞每一個頂點。具有邊可遞性質,因此比半正多面體更接近正多面體,僅差一個點可遞性質。只有兩種凸擬正多面體,分別為截半立方體和截半二十面體。他們的名稱,由開普勒給出,來自首次確認他們的所有的面都來自對偶對——正方體和正八面體,第二個則來自對偶對——正十二面體和正二十面體。
這些形式表示對一個正多面體及其對偶多面體可以給出一個垂直施萊夫利符號
或r{p,q}來代表它們同時包含正{p,q}和正{q,p}對偶的面。一個擬正多面體有此符號就會有一個頂點這樣的頂點圖:p.q.p.q (或 (p.q)2)。