■葉序らせん(その64)
H(√6/9,2√3/9,1/6)
I(0,√3/6,0)
J(5√6/27,11√3/54,4/9)
に間違いは見つからない.中心軸をHに映しても同じだろうか?
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H(0,0,0)
I(−3√6/27,−3√3/54,−3/18)
J(2√6/27,−√3/54,5/18)
H(0,0,0)
I(−3c√6/27+3s/18,−3√3/54,−3s√6/27−−3c/18)
J(2c√6/27−5s/18,−√3/54,2s√6/2+5c/18)
O(0,y,0)
y^2=(−3c√6/27+3s/18)^2+(y+3√3/54)^2
=(2c√6/27−5s/18)^2+(y+√3/54)^2
2916y^2
(−6c√6/54+9s/54)^2+(y+3√3/54)^2
=(4c√6/54−15s/54)^2+(y+√3/54)^2
2916y^2=(−6c√6+9s)^2+(54y+3√3)^2
=(4c√6−15s)^2+(54y+√3)^2
0=216c^2−108sc√6+81s^2+324√3y+27
=96c^2−120sc√6+225s^2+108√3y+3
=288c^2−360sc√6+675s^2+324√3y+9
72c^2−252sc√6+594s^2−18=0
4c^2−14sc√6+33s^2−1=0
4(1−s^2)−14sc√6+33s^2−1=0
3−14sc√6+29s^2=0
3+29s^2=14sc√6
9+174s^2+841s^4=1176s^2(1−s^2)
9−1002s^2+2017s^4=0
s^2=501±(251001−18153)^1/2/2017 (無理数)
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