# 四角化立方體

（重定向自四角化六面體

（按這裡觀看旋轉模型）

verse-and-dimensions的wikiaBowers acronym
tekah

dtO

24
36

${\displaystyle \arccos(-{\frac {4}{5}})}$

6{4}+8{6}

O, [4,3]+, (432)

 V4.6.6（頂點圖） 截角正八面體（對偶多面體） （展開圖）

## 性質

### 頂點坐標

${\displaystyle \left(0\,,\quad 0\,,\quad \pm {\frac {9{\sqrt {2}}}{8}}\right)}$
${\displaystyle \left(\pm {\frac {9{\sqrt {2}}}{8}}\,,\quad 0\,,\quad 0\right)}$
${\displaystyle \left(0\,,\quad \pm {\frac {9{\sqrt {2}}}{8}}\,,\quad 0\right)}$
${\displaystyle \left(\pm {\frac {3{\sqrt {2}}}{4}}\,,\quad \pm {\frac {3{\sqrt {2}}}{4}}\,,\quad \pm {\frac {3{\sqrt {2}}}{4}}\right)}$

[4] [3] [2] 歪斜

## 正交投影

投影對稱性 四角化立方體 截角八面體 [2] [4] [6]

## 使用

 四角化立方體骰子

## 相關多面體與鑲嵌

{4,3} t0,1{4,3} t1{4,3} t1,2{4,3} {3,4} t0,2{4,3} t0,1,2{4,3} s{4,3} h{4,3} h1,2{4,3}

V4.4.4 V3.8.8 V3.4.3.4 V4.6.6 V3.3.3.3 V3.4.4.4 V4.6.8 V3.3.3.3.4 V3.3.3 V3.3.3.3.3

*n32變異對稱性 n.6.6 的截角鑲嵌：

*n42
[n,3]

*232
[2,3]
*332
[3,3]
*432
[4,3]
*532
[5,3]
*632
[6,3]
*732
[7,3]
*832
[8,3]...
*∞32
[∞,3]
[12i,3] [9i,3] [6i,3]

2.6.6 3.6.6 4.6.6 5.6.6 6.6.6 7.6.6 8.6.6 ∞.6.6 12i.6.6 9i.6.6 6i.6.6
n角化

## 四角化立方體圖

6 (8個)

36

### 性質

${\displaystyle x^{2}{\left(x+1\right)}^{3}{\left(x+3\right)}{\left(x^{2}-3x-12\right)}{\left(x^{2}-x-4\right)}^{3}}$

## 參考文獻

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3. The Symmetries of Things 2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, ISBN 978-1-56881-220-5 [1] (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, page 284, Tetrakis hexahedron)
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