正二十面体
頂点 ( 0 , ε 2 , ε 1 ε 2 φ ) , ( ε 1 φ , 0 , ε 1 ε 2 ) , ( ε 1 , ε 2 φ , 0 ) {\displaystyle (0,\epsilon _{2},\epsilon _{1}\epsilon _{2}\phi ),(\epsilon _{1}\phi ,0,\epsilon _{1}\epsilon _{2}),(\epsilon _{1},\epsilon _{2}\phi ,0)} の4個
頂点 ( 0 , ε 2 , − ε 1 ε 2 φ ) , ( ε 1 , ε 2 φ , 0 ) , ( ε 1 φ , 0 , − ε 1 ε 2 ) {\displaystyle (0,\epsilon _{2},-\epsilon _{1}\epsilon _{2}\phi ),(\epsilon _{1},\epsilon _{2}\phi ,0),(\epsilon _{1}\phi ,0,-\epsilon _{1}\epsilon _{2})} の4個
頂点 ( 0 , ε 2 , ε 3 φ ) {\displaystyle (0,\epsilon _{2},\epsilon _{3}\phi )} , ( 0 , − ε 2 , ε 3 φ ) {\displaystyle (0,-\epsilon _{2},\epsilon _{3}\phi )} , ( ε 2 ε 3 φ , 0 , ε 3 ) {\displaystyle (\epsilon _{2}\epsilon _{3}\phi ,0,\epsilon _{3})} のxyz座標を偶置換した 12個