■DE群多面体の面数公式(その396)

 321の基本単体の頂点は,ρについて

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/√10,0,0,0)

P5(1,1/√3,1/√6,1/√10,1/√15,0,0)

P6(1,1/√3,1/√6,1/√10,1/√15,1/√21,0)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√21,√(9/7))

[6]P0P1P2P3P4P6P7を通る超平面

[7]P0P1P2P3P4P5P7を通る超平面

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 321の基本単体の頂点は,σについて

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/√10,0,0,0)

P5(1,1/√3,1/√6,1/√10,1/√15,0,0)

P6(1,1/√3,1/√6,1/√10,1/√15,1/√3,0)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√3,1)

[6]P0P1P2P3P4P6P7を通る超平面

[7]P0P1P2P3P4P5P7を通る超平面

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