■サマーヴィルの等面四面体(その38)

r11=c1−1

r12=(4c2/3+c1/3)3/√3

r13=(c2+c1/4)4/√6

r14=c1√10/2

r21=s1

r22=(2s2/3−s1/3)3/√3

r23=−(s2+s1/4)4/√6

r24=−s1√10/2

 [ex ,ey ,ez ,ew ]

 [r11,r12,r13,r14]

 [r21,r22,r23,r24]

 [r31,r32,r33,0 ]

 [r12,r13,r14]ex −[r11,r13,r14]ex

 [r22,r23,r24]   [r21,r23,r24]  

 [r32,r33,0 ]   [r31,r33,0 ]  

 [r11,r12,r14]ez −[r11,r12,r13]ew

 [r21,r22,r24]   [r21,r22,r23]  

 [r31,r32,0 ]   [r31,r32,r33]  

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  [r31]=[ex ,ey ,ez ]

  [r32] [r11,r12,r13]

  [r33] [r21,r22,r23]

[r12,r13]ex −[r11,r13]ey +[r11,r12]ez

[r22,r23]   [r21,r23]   [r21,r22]

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