# 大二十面體

(按這裡觀看旋轉模型)

20
30

20{3}

(35)/2

(對偶多面體)

## 性質

### 頂點座標

${\displaystyle (0,\pm {\frac {1}{2}},\pm {\frac {{\sqrt {5}}-1}{4}})}$
${\displaystyle (\pm {\frac {1}{2}},\pm {\frac {{\sqrt {5}}-1}{4}},0)}$
${\displaystyle (\pm {\frac {{\sqrt {5}}-1}{4}},0,\pm {\frac {1}{2}})}$

### 二面角

${\displaystyle \cos ^{-1}({\frac {\sqrt {5}}{3}})\approx 0.7297\approx 41.8103^{\circ }}$

## 相關多面體

### 對偶複合體

 從三角形的星狀圖 從五邊形的星狀圖

## 參考文獻

1. Wenninger, Magnus. Polyhedron Models. Cambridge University Press. 1974. ISBN 0-521-09859-9.
2. Coxeter, Harold Scott MacDonald; Du Val, P.; Flather, H. T.; Petrie, J. F. The fifty-nine icosahedra 3rd. Tarquin. 1999. ISBN 978-1-899618-32-3. MR 676126. (1st Edn University of Toronto (1938))
3. H.S.M. Coxeter, Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8, 3.6 6.2 Stellating the Platonic solids, pp.96-104
1. ^ Uniform Polyhedra 53: great icosahedron. mathconsult.ch. （原始内容存档于2016-03-25）.
2. ^ great icosahedron. bulatov.org. （原始内容存档于2016-03-27）.
3. ^ Data of Great Icosahedron. dmccooey.com. （原始内容存档于2016-09-02）.
4. ^ Kepler-Poinsot Solids: Great Icosahedron. dmccooey.com. （原始内容存档于2016-03-24）.
5. ^ compound of great stellated dodecahedron and great icosahedron. bulatov.org. （原始内容存档于2015-09-06）.
6. ^