■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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