■サマーヴィルの等面四面体(その100)

 NGのものを消したが,P?PxがOKのものを残すとよさそうだ.

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[1]n=3の展開図(OK)

  P1P2=P2P3=√3

  P1P3=2

[2]n=4の展開図

  P1P2=P2P3=P3P4=2

  P1P3=P2P4=√6

  P1P4=√6

[3]n=5の展開図の場合

  P1P2=P2P3=P3P4=P4P5=√5

  P1P3=   =P3P5=√8

     =   =3

  P1P5=√8

[4]n=6の展開図のとき

  P1P2=P2P3=P3P4=P4P5=P5P6=√6

  P1P3=P2P4=P3P5=P4P6=√10

  P1P4=P2P5=P3P6=√12

  P1P5=P2P6=√12

  P1P6=√10

[5]n=7の展開図

  P1P2=P2P3=P3P4=P4P5=P5P6=P6P7=√7

  P1P3=P2P4=P3P5=P4P6=P5P7=√12

  P1P4=P2P5=P3P6=P4P7=√15

     =   =   =4

  P1P6=P2P7=√15

  P1P7=√12

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