■等面単体の体積(その219)

 内接可能性の判定はできないにしても・・・

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[1]n=4のとき

  P0P1=P1P2=P2P3=P3P4=2

  P0P2=P1P3=P2P4=√6

  P0P3=P1P4=√6

  P0P4=2

[2]n=5のとき

  P0P1=P1P2=P2P3=P3P4=P4P5=√5

  P0P2=P1P3=P2P4=P3P5=√8

  P0P3=P1P4=P2P5=3

  P0P4=P1P5=√8

  P0P5=√5

[3]n=6のとき

  P0P1=P1P2=P2P3=P3P4=P4P5=P5P6=√6

  P0P2=P1P3=P2P4=P3P5=P4P6=√10

  P0P3=P1P4=P2P5=P3P6=√12

  P0P4=P1P5=P2P6=√12

  P0P5=P1P6=√10

  P0P6=√6

[4]n=7のとき

  P0P1=P1P2=P2P3=P3P4=P4P5=P5P6=P6P7=√7

  P0P2=P1P3=P2P4=P3P5=P4P6=P5P7=√12

  P0P3=P1P4=P2P5=P3P6=P4P7=√15

  P0P4=P1P5=P2P6=P3P7=4

  P0P5=P1P6=P2P7=√15

  P0P6=P1P7=√12

  P0P7=√7

であるから,n−1変数よりも2変数の方が正しいと思われる.

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