查看“︁側台塔截角立方體”︁的源代码

{{noteTA
|T=zh-hans:侧台塔截角立方体; zh-hant:側帳塔截角立方體;
|G1=Math
|1=zh:Johnson多面體;zh-hans:约翰逊多面体; zh-hant:詹森多面體;
|2=zh-hans:台塔; zh-hant:帳塔;
|3=zh-hans:丸塔; zh-hant:罩帳;
|4=zh-hans:约翰逊; zh-hant:詹森;
}}
{{Infobox polyhedron|
|Image_File=Augmented truncated cube.png|
  Polyhedron_Type=[[约翰逊多面体]]<br>[[侧台塔截角四面体|''J''<sub>65</sub>]] -''' J<sub>66</sub>''' - [[双侧台塔截角立方体|J<sub>67</sub>]]|
  Face_List=12[[三角形]]<br>5 [[正方形]]<br>5 [[八边形]]|
  Face_Count=22|
  Edge_Count=48|
  Vertex_Count=28|
  Symmetry_Group=''C''<sub>4v</sub>|
  Vertex_List=2.4+8(3.8<sup>2</sup>)<br>4(3.4<sup>3</sup>)<br>8(3.4.3.8)|
  Dual=-|
  Property_List=[[convex set|convex]]|
  Net=[[Johnson solid 66 net.png]]
}}

在[[几何学]]里,  '''侧台塔截角立方体''' 是[[约翰逊多面体]]之一 (''J''<sub>66</sub>)。 正像其名字所暗示的, 它可以通过把 [[正四角台塔]](''J''<sub>4</sub>) 和 [[截角立方体]]的各自一个[[八边形]]面结合起来得到。
[[File:Johnson solid 66 net.png|left|thumb|侧台塔截角立方体展开图]]

== 体积，表面积 ==

棱长为a的侧台塔截角立方体的表面积（A）和体积（V）

<math>A=(15+10\sqrt{2}+3\sqrt{3})a^2</math>

<math>V=(8+\frac{16\sqrt{2}}{3})a^3</math>

== 参考文献 ==
*[[诺曼·约翰逊]], "Convex Solids with Regular Faces", Canadian Journal of Mathematics, '''18''', 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others.
*{{cite book|author=[[Victor Zalgaller|Victor A. Zalgaller]]|title=Convex Polyhedra with Regular Faces|publisher=Consultants Bureau|year=1969|id=No ISBN}}  The first proof that there are only 92 Johnson solids.

== 外部链接 ==
* {{mathworld | urlname = AugmentedTruncatedCube  | title = 侧台塔截角立方体}}
* {{mathworld | urlname = JohnsonSolid | title = 约翰逊多面体}}

{{Polyhedron-stub}}
{{詹森多面體}}

[[Category:约翰逊多面体]]