■葉序らせん(その115)

 n=(n1,n2,n3),n1^2+n2^2+n3^2=1

[cosθ+n1^2(1−cosθ),n1n2(1−cosθ)−n3sinθ,n1n3(1−cosθ)+n2sinθ]

[n2n1(1−cosθ)+n3sinθ,cosθ+n2^2(1−cosθ),n2n3(1−cosθ)−n1sinθ]

[n3n1(1−cosθ)−n2sinθ,n3n2(1−cosθ)+n1sinθ,cosθ+n3^2(1−cosθ)]

  A(0,0,1/2)

  B(0,0,−1/2)

  F(2√6/9,4√3/9,5/6)

A((n1n3(1−cosθ)+n2sinθ)/2,(n2n3(1−cosθ)−n1sinθ)/2,(cosθ+n3^2(1−cosθ)/2

B(−(n1n3(1−cosθ)+n2sinθ)/2,−(n2n3(1−cosθ)−n1sinθ)/2,−(cosθ+n3^2(1−cosθ)/2

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[まとめ]2軸,3軸回りの回転は計算できそうにない.

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