■格子のボロノイ細胞(その5)

【1】An無限鏡映群の基本単体の頂点座標

  V0(0^n+1)

  V1(−n/(n+1),(1/(n+1))^n)

  V2((−(n−1)/(n+1))^2,(2/(n+1))^n-1)

  Vn((−1/(n+1))^n,n/(n+1))

===================================

【2】Anのボロノイ細胞

[1]−x0+xn=1

[2]x0=x1

[3]x1=x2

[4]x2=x3

[5]xn-1=xn

[2]を外すと

 x1=x2=x3=・・・=xn-1=xn=1/(n+1)

 x0=−n/(n+1)

[3]を外すと

 x0=x1=−(n−1)/(n+1)

 x2=x3=・・・=xn-1=xn=2/(n+1)

[5]を外すと

 x0=x1=・・・=xn-1=−1/(n+1)

 xn=n/(n+1)

===================================