# 截角三角化四面體

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16
42

4個(5.5.5)
24個(5.5.6)

 六角化截角四面體（對偶多面體） （展開圖）

## 性質

### 體積

${\displaystyle {\frac {111{\sqrt {2}}+50{\sqrt {6}}}{20}}\approx 13.9726}$

${\displaystyle {\frac {125{\sqrt {2}}+39{\sqrt {6}}}{18}}\approx 15.128155}$

${\displaystyle {\frac {1288{\sqrt {3}}}{729}}\approx 3.060194}$

## 六角化截角四面體

${\displaystyle {\frac {\sqrt {11-{\sqrt {33}}}}{2}}\approx 1.146237}$
 截角四面體 六角化截角四面體 展開圖

## 註釋

1. ^ Wolfram, Stephen. "3/(5-sqrt(3))". from Wolfram Alpha: Computational Knowledge Engine, Wolfram Research （英语）.
2. ^ 來源給出的結果為長邊長為${\displaystyle {\frac {5-{\sqrt {3}}}{3}}}$、短邊長為1[5]，故短邊長與長邊長的比1:${\displaystyle {\frac {5-{\sqrt {3}}}{3}}}$，比值為${\displaystyle {\frac {5-{\sqrt {3}}}{3}}}$的倒數，其值為${\displaystyle {\frac {3\left(5+{\sqrt {3}}\right)}{22}}}$[註 1]
3. ^ Wolfram, Stephen. "(2*sqrt(6)/9)/(4*sqrt(2)/9)". from Wolfram Alpha: Computational Knowledge Engine, Wolfram Research （英语）.
4. ^ 來源給出的結果為長邊長為${\displaystyle {\frac {4{\sqrt {2}}}{9}}}$、短邊長為${\displaystyle {\frac {2{\sqrt {6}}}{9}}}$[6]，故短邊長與長邊長的比為${\displaystyle {\frac {2{\sqrt {6}}}{9}}:{\frac {4{\sqrt {2}}}{9}}}$，比值為${\displaystyle {\frac {\sqrt {3}}{2}}}$[註 3]

## 參考資料

1. ^ Lherbette, Michael and Redlingshöfer, Lisa and Brodsky, Frances M and Schaap, Iwan AT and Dannhauser, Philip N. The AP2 adaptor enhances clathrin coat stiffness. The FEBS journal (Wiley Online Library). 2019, 286 (20): 4074–4085 [2023-01-24]. （原始内容存档于2023-01-24）.
2. ^ Morgan, Benjamin J. Mechanistic Origin of Superionic Lithium Diffusion in Anion-Disordered Li6PS5 X Argyrodites. Chemistry of Materials (ACS Publications). 2021, 33 (6): 2004–2018.
3. ^ Johnson Solid Near Misses: Number 22. [2013-03-07]. （原始内容存档于2014-05-02）.
4. David I. McCooey. Truncated Catalan Solids: 6-Truncated Triakis Tetrahedron (canonical). [2023-01-23]. （原始内容存档于2023-01-24）.
5. David I. McCooey. Truncated Catalan Solids: 6-Truncated Triakis Tetrahedron (pentagon sides: 1 long, 4 short). [2023-01-23]. （原始内容存档于2023-01-24）.
6. David I. McCooey. Truncated Catalan Solids: 6-Truncated Triakis Tetrahedron (circumscribed). [2023-01-23]. （原始内容存档于2023-01-24）.
7. ^ Apolinar, E.S. Illustrated Glossary for School Mathematics. Efrain Soto Apolinar. 2023 [2023-01-24]. ISBN 9786072941311. （原始内容存档于2023-01-17）.
8. ^ Conway, John H.; Burgiel, Heidi; Goodman-Strauss, Chaim. The Symmetries of Things. 2008: 332. ISBN 978-1568812205.
9. ^ Grünbaum, B; Shephard, G. C. Tilings with Congruent Tiles. Bull. Amer. Math. Soc. 1980, 3 (3): 951–973 [2023-01-24]. . （原始内容存档于2016-03-03）.
10. ^ Richard Klitzing. hexakis truncated tetrahedron, hiktut. bendwavy.org. [2023-01-02]. （原始内容存档于2023-01-24）.