■葉序らせん(その17)

 ここで座標変換を行いたい.

  A(h−x,s/2,−c/2)

  D(h−x,−s/2,c/2)

  C(−h−x,bc/2,s/2)

  B(−h−x,−bc/2,−s/2)

  E(−5h/3−x,−5s/6,5c/6)

  O(0,0,0)

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

cos(∠COD)=(−h^2+x^2−bsc/4)/{(h−x)^2+s^2/4)((h+x)^2+b^2c^2/4)}^1/2

cos(∠BOC)=((h+x)^2−b^2c^2/4)/((h+x)^2+b^2c^2/4)

cos(∠AOB)=(−h^2+x^2−bsc/4){(h−x)^2+s^2/4)((h+x)^2+b^2c^2/4)}^1/2=cos(∠COD)

cos(∠DOE)=(−(h−x)(5h/3+x)+5s^2/12)/{(h−x)^2+s^2/4)((5h/3+x)^2+25s^2/36)}^1/2

cos(∠COD)=cos(∠BOC)=cos(∠AOB)=cos(∠DOE)=cos2π/(1+φ)

となるhを求める問題になる.

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