■基本単体の二面角(その408)
【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.
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【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.
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【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.
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