■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|
===================================