查看“︁擬正多面體”︁的源代码

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{| class=wikitable width=420 align=right
|+ 擬正圖形
|- align=center valign=top
!(3.3)<sup>2</sup>
!(3.4)<sup>2</sup>
!(3.5)<sup>2</sup>
!(3.6)<sup>2</sup>
!(3.7)<sup>2</sup>
!(3.8)<sup>2</sup>
!(3.&infin;)<sup>2</sup>
|-
!<math>\begin{Bmatrix} 3 \\ 3 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ 4 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ 5 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ 6 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ 7 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ 8 \end{Bmatrix}</math>
!<math>\begin{Bmatrix} 3 \\ \infin \end{Bmatrix}</math>
|-
![[正四面體|r{3,3}]]
![[截半立方體|r{3,4}]]
![[截半二十面體|r{3,5}]]
![[截半六邊形鑲嵌|r{3,6}]]
![[截半正七邊形鑲嵌|r{3,7}]]
![[截半正八邊形鑲嵌|r{3,8}]]
![[截半三階無限邊形鑲嵌|r{3,&infin;}]]
|-
!{{CDD|node|3|node_1|3|node}}
!{{CDD|node|4|node_1|3|node}}
!{{CDD|node|5|node_1|3|node}}
!{{CDD|node|6|node_1|3|node}}
!{{CDD|node|7|node_1|3|node}}
!{{CDD|node|8|node_1|3|node}}
!{{CDD|node|infin|node_1|3|node}}
|- align=center valign=top
|[[Image:Uniform polyhedron-33-t1.png|60px]]
|[[Image:Uniform polyhedron-43-t1.svg|60px]]
|[[Image:Uniform polyhedron-53-t1.png|60px]]
|[[Image:Uniform polyhedron-63-t1.svg|60px]]
|[[File:Uniform tiling 73-t1.png|60px]]
|[[File:Uniform tiling 83-t1.png|60px]]
|[[File:Uniform tiling infin32-t1.png|60px]]
|-
|colspan=7|A '''quasiregular polyhedron''' or '''tiling''' has exactly two kinds of regular face, which alternate around each vertex. Their [[vertex figure]]s are [[rectangle]]s.
|}
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 <math>\begin{Bmatrix} p \\ q \end{Bmatrix}</math>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)<sup>2</sup>''')。

== 參考文獻 ==
{{reflist|list=
*Cromwell, P. ''Polyhedra'', Cambridge University Press (1977).
*[[Coxeter]], ''[[Regular Polytopes (book)|Regular Polytopes]]'', (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8, 2.3 ''Quasi-Regular Polyhedra.'' (p.&nbsp;17)
}}

== 外部連結 ==
* {{Mathworld | urlname=QuasiregularPolyhedron | title=Quasiregular polyhedron }}
* {{Mathworld | urlname=UniformPolyhedron | title=Uniform polyhedron }} Quasi-regular polyhedra:  (p.q)<sup>r</sup>
* George Hart, [http://www.georgehart.com/virtual-polyhedra/quasi-regular-info.html Quasiregular polyhedra]{{Wayback|url=http://www.georgehart.com/virtual-polyhedra/quasi-regular-info.html |date=20130524093614 }}

{{半正多面體}}
{{阿基米德立體}}
{{幾何形狀}}

[[Category:幾何學]]