■DE群多面体の面数公式(その855)
cosθ=bn/{bn-1^2+bn^2}^1/2
を計算してみたい.
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D6,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/√15,2/√3)
cosθ=√3/2/{15+3/4}^1/2=√3/63=1/√21
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/√10,3/√10,0)
P6(1,1/√3,1/√6,1/√10,3/√10,1/√2)
cosθ=√2/{10/9+2}^1/2=√2/√28/9)=3/√14
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