# 雙四角錐柱

J14 - J15 - J16

verse-and-dimensions的wikiaBowers acronym
esquidpy

12
20

4個正方形

8個(32.42)

D4, [4,2]+, (422)

 (對偶多面體) (展開圖)

## 性質

### 體積與表面積

${\displaystyle V=L^{3}\cdot \left(1+{\frac {\sqrt {2}}{3}}\right)\approx L^{3}\cdot 1.471404521}$
${\displaystyle A=L^{2}\cdot \left(4+2{\sqrt {3}}\right)\approx L^{2}\cdot 7.464101615}$

${\displaystyle H=L\cdot \left(1+{\sqrt {2}}\right)\approx L\cdot 2.414213562}$

### 二面角

${\displaystyle \angle }$正方形${\displaystyle ,}$正方形${\displaystyle \,=90^{\circ }}$

${\displaystyle \angle }$三角形${\displaystyle ,}$正方形${\displaystyle \,=\arccos \left(-{\sqrt {\frac {2}{3}}}\right)\approx 2.52611294\approx 144.735610^{\circ }}$

${\displaystyle \angle }$三角形${\displaystyle ,}$三方形${\displaystyle \,=\arccos \left(-{\frac {1}{3}}\right)\approx 1.9106332\approx 109.471221^{\circ }}$

### 頂點座標

${\displaystyle \left(\pm {\frac {1}{2}},\,\pm {\frac {1}{2}},\,\pm {\frac {1}{2}}\right)}$
${\displaystyle \left(0,\,0,\,\pm {\frac {1+{\sqrt {2}}}{2}}\right)}$

## 相關多面體

 雙四角錐柱堆砌 一半的堆砌 倒角正方形鑲嵌

## 參考文獻

1. ^ Weisstein, Eric W. (编). Elongated Square Dipyramid. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. （英语）.
2. ^ Johnson, Norman W., Convex polyhedra with regular faces, , 1966, 18: 169–200, MR 0185507, Zbl 0132.14603, doi:10.4153/cjm-1966-021-8.
3. Keith Critchlow. Order in Space: A design source book. Thames & Hudson. ISBN 978-0500340332.
4. ^ Goldberg, Michael. On the space-filling octahedra. Geometriae Dedicata. 1981-01, 10 (1): 323–335. doi:10.1007/BF01447431.
5. David I. McCooey. Johnson Solids: Elongated Square Dipyramid. [2022-09-07].
6. ^ The Elongated Square Bipyramid. qfbox.info.
7. Elongated square bipyramid. polyhedra.tessera.li.
8. Richard Klitzing. elongated square dipyramid, esquidpy. bendwavy.org.
9. Sapiña, R. Area and volume of the Johnson solid J15. Problemas y ecuaciones. [2020-09-09]. ISSN 2659-9899 （西班牙语）.
10. ^ David I. McCooey. Data of Elongated Square Dipyramid. [2022-09-07].