■ABCからDEへ(その18)

 221の基本単体の頂点は,ρについて

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

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

P2(1,1/√3,0,0,0,0)

P3(1,1/√3,1/√6,0,0,0)

P4(1,1/√3,1/√6,1/√10,0,0)

P5(1,1/√3,1/√6,1/√10,1/√15,0)

P6(1,1/√3,1/√6,1/√10,1/√15,1)

σについて

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

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

P2(1,1/√3,0,0,0,0)

P3(1,1/√3,1/√6,0,0,0)

P4(1,1/√3,1/√6,1/√10,0,0)

P5(1,1/√3,1/√6,1/√10,√(2/5),0)

P6(1,1/√3,1/√6,1/√10,√(2/5),√(2/3))

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 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))

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,√(2/6),0)

P7(1,1/√3,1/√6,1/√10,1/√15,√(2/6),1)

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 421の基本単体の頂点は,ρについて

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/√21,0,0)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√21,1/√28,0)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√21,1/√28,√(9/4))

σについて

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/√21,0,0)

P7(1,1/√3,1/√6,1/√10,1/√15,1/√21,1/√28,√(2/7),0)

P8(1,1/√3,1/√6,1/√10,1/√15,1/√21,√(2/7),√2)

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