■基本単体の二面角(その104)
(その103)の
P1(1,0,0,0,0,0,0,0)
P2(1/2,1/2,0,0,0,0,0,0)
P3(2/3,1/3,1/3,0,0,0,0,0)
P4(3/4,1/4,1/4,1/4,0,0,0,0)
P5(4/5,1/5,1/5,1/5,1/5,0,0,0)
P6(5/6,1/6,1/6,1/6,1/6,1/6,0,0)
P7(5/6,1/6,1/6,1/6,1/6,1/6,1/6,1/6)
P8(7/8,1/8,1/8,1/8,1/8,1/8,1/8,−1/8),x1+x8=x2+x3+x4+x5+x6+x7,はE6~のボロノイ細胞
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/√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)
と相同だろうか?
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P1P2^2=1/2
P1P3^2=1/3
P1P4^2=1/4
P1P5^2=1/5
P1P6^2=1/6
P1P7^2=8/36
P1P8^2=1/8
P2P3^2=2/36+1/9=1/6
P2P4^2=1/4
P2P5^2=18/100+3/25=3/10
P2P6^2=2/9+4/36=1/3
P2P7^2=2/9+1/6=1/3
P2P8^2=18/64+6/64=3/8
どうも一致しないようだ.
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