■DE群多面体の面数公式(その402)

 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)

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

 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)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√3,1)

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1/21+9/7=28/21

1/3+1=28/21  (一致)

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