■基本単体の二面角(その381)

【1】E6格子の場合

  P0(0,0,0,0,0,0,0)

  P1(1,0,0,0,0,0,0)

  P2(1,1/√3,0,0,0,0)

  P3(1,1/√3,1/√3,0,0,0)

  P4(1,1/√3,1/√3,1,0,0)

  P5(1,1/√3,0,0,1/√3,0)

  P6(1,1/√3,0,0,1/√3,1)

 二面角は90°,60°の補角となる.

===================================

【2】E7格子の場合

  P0(0,0,0,0,0,0,0)

  P1(1,0,0,0,0,0,0)

  P2(1,1/√3,0,0,0,0,0)

  P3(1,1/√3,1/√6,0,0,0,0)

  P4(1,1/√3,1/√6,1/√6,0,0,0,0)

  P5(1,1/√3,1/√6,1/√6,1/√3,0,0)

  P6(1,1/√3,1/√6,1/√6,1/√3,1,0)

  P7(1,1/√3,1/√6,0,0,0,1/2)

 二面角は90°,60°の補角となる.

===================================

【3】E8格子の場合

  P0(0,0,0,0,0,0,0,0)

  P1(1,0,0,0,0,0,0,0)

  P2(1,1/√3,0,0,0,0,0,0)

  P3(1,1/√3,1/√6,0,0,0,0,0)

  P4(1,1/√3,1/√6,1/√10,0,0,0,0)

  P5(1,1/√3,1/√6,1/√10,1/√15,0,0,0)

  P6(1,1/√3,1/√6,1/√10,1/√15,1/√12,0,0)

  P7(1,1/√3,1/√6,1/√10,1/√15,1/√12,1/2,0)

  P8(1,1/√3,1/√6,1/√10,1/√15,0,0,1/3)

 二面角は90°,60°の補角となる.

===================================