■等面単体の体積(その44)

 第1行・第1列の対称性を利用して,

  第1行-第2行+第3行-第4行+第5行-第6行

を計算してみる.

  P0P1=P1P2=P2P3=P3P4=P4P5=√5

  P0P2=P1P3=P2P4=P3P5=√8

  P0P3=P1P4=P2P5=3

  P0P4=P1P5=√8

  P0P5=√5

===================================

 |0,5,8,9,8,5,1|=|-3,3,-3,3,-3,3,0|

 |5,0,5,8,9,8,1| |5,0,5,8,9,8,1|

 |8,5,0,5,8,9,11 |8,5,0,5,8,9,11

 |9,8,5,0,5,8,11 |9,8,5,0,5,8,11

 |8,9,8,5,0,5,1| |8,9,8,5,0,5,1|

 |5,8,9,8,5,0,1| |5,8,9,8,5,0,1|

 |1,1,1,1,1,1,0| |1,1,1,1,1,1,0|

=|-6,0,-6,0,-6,0,0|

 |5,0,5,8,9,8,1|

 |8,5,0,5,8,9,11

 |9,8,5,0,5,8,11

 |8,9,8,5,0,5,1|

 |5,8,9,8,5,0,1|

|1,1,1,1,1,1,0|

===================================