■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)
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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.
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