大菱形三十面體

對偶邊長為1大菱形三十面體的頂點座標為[7]：

${\displaystyle (0,\pm {\frac {5-{\sqrt {5}}}{8}},\pm {\frac {3{\sqrt {5}}-5}{8}})}$

${\displaystyle (\pm {\frac {5-{\sqrt {5}}}{8}},\pm {\frac {3{\sqrt {5}}-5}{8}},0)}$

${\displaystyle (\pm {\frac {3{\sqrt {5}}-5}{8}},0,\pm {\frac {5-{\sqrt {5}}}{8}})}$

${\displaystyle (\pm {\frac {\sqrt {5}}{4}},0,\pm {\frac {3{\sqrt {5}}-5}{8}})}$

${\displaystyle (0,\pm {\frac {3{\sqrt {5}}-5}{8}},\pm {\frac {\sqrt {5}}{4}})}$

${\displaystyle (\pm {\frac {3{\sqrt {5}}-5}{8}},\pm {\frac {\sqrt {5}}{4}},0)}$

${\displaystyle (\pm {\frac {5-{\sqrt {5}}}{8}},\pm {\frac {5-{\sqrt {5}}}{8}},\pm {\frac {5-{\sqrt {5}}}{8}})}$

大菱形三十面體與其對偶的複合體為複合大截半二十面體大菱形三十面體。其共有62個面、120條邊和62個頂點，其尤拉示性數為4，虧格為-1，具有12個非凸面，在威佐夫記號中以(2 | ⁵/₂ 3)表示[11]。