雙三角錐柱

若一個雙三角錐柱邊長為${\displaystyle a}$，則其體積${\displaystyle V}$與表面積${\displaystyle A}$為：

${\displaystyle V=\left({\frac {1}{12}}\left(2{\sqrt {2}}+3{\sqrt {3}}\right)\right)\cdot a^{3}\approx 0.668715...a^{3}}$[8][9]

${\displaystyle A=\left({\frac {3}{2}}\left(2+{\sqrt {3}}\right)\right)\cdot a^{2}\approx 5.59808...a^{2}}$[8][9]

這樣的雙三角錐柱整體的高${\displaystyle H}$為：

${\displaystyle H={\frac {3+2{\sqrt {6}}}{3}}\cdot a\approx 2.63299...a}$[9]

若一個雙三角錐柱邊長為單位長，且幾何中心位於原點，則其頂點座標為：[10]

${\displaystyle \left(\pm {\frac {1}{2}},\,-{\frac {\sqrt {3}}{6}},\,\pm {\frac {1}{2}}\right)}$

${\displaystyle \left(0,\,{\frac {\sqrt {3}}{3}},\,\pm {\frac {1}{2}}\right)}$

${\displaystyle \left(0,\,0,\,\pm {\frac {3+2{\sqrt {6}}}{6}}\right)}$