■サマーヴィルの等面四面体(その29)

α=D0x/5とおけば

-α^2|D11-D01,D12-D02,D13-D03,D14-D04,D15-D05|

   |D21-D01,D22-D02,D23-D03,D24-D04,D25-D05|

   |D31-D01,D32-D02,D33-D03,D34-D04,D35-D05|

   |D41-D01,D42-D02,D43-D03,D44-D04,D45-D05|

   |D51-D01,D52-D02,D53-D03,D54-D04,D55-D05|

E55=-D05+(D15-D05)(D51-D01)/D01

-α^2|D11-D01,D12-D02,D13-D03,D14-D04,0|

   |D21-D01,D22-D02,D23-D03,D24-D04,D25-D05|

   |D31-D01,D32-D02,D33-D03,D34-D04,D35-D05|

   |D41-D01,D42-D02,D43-D03,D44-D04,D45-D05|

   |    0,D52-D02,D53-D03,D54-D04,E55|

E44=-D04+(D14-D04)(D41-D01)/D01

-α^2|D11-D01,D12-D02,D13-D03,0,0|

   |D21-D01,D22-D02,D23-D03,D24-D04,D25-D05|

   |D31-D01,D32-D02,D33-D03,D34-D04,D35-D05|

   |    0,D42-D02,D43-D03,E44,D45-D05|

   |    0,D52-D02,D53-D03,D54-D04,E55|

F55=E55+(D25-D05)(D52-D02)/D02

-α^2|D11-D01,D12-D02,D13-D03,    0,0|

   |D21-D01,D22-D02,D23-D03,D24-D04,0|

   |D31-D01,D32-D02,D33-D03,D34-D04,D35-D05|

   |    0,D42-D02,D43-D03,E44   ,D45-D05|

   |    0,    0,D53-D03,D54-D04,F55|

G55=F55+(D35-D05)(D53-D03)/D03

-α^2|D11-D01,D12-D02,D13-D03,    0,0|

   |D21-D01,D22-D02,D23-D03,D24-D04,0|

   |D31-D01,D32-D02,D33-D03,D34-D04,0|

   |    0,D42-D02,D43-D03,E44   ,D45-D05|

   |    0,    0,    0,D54-D04,G55|

F44=E44+(D24-D04)(D42-D02)/D02

-α^2|D11-D01,D12-D02,D13-D03,    0,0|

   |D21-D01,D22-D02,D23-D03,    0,0|

   |D31-D01,D32-D02,D33-D03,D34-D04,0|

   |    0,    0,D43-D03,F44   ,D45-D05|

   |    0,    0,    0,D54-D04,G55|

E33=-D03+(D13-D03)(D31-D01)/D01

-α^2|D11-D01,D12-D02,    0,    0,0|

   |D21-D01,D22-D02,D23-D03,    0,0|

   |    0,D32-D02,E33   ,D34-D04,0|

   |    0,    0,D43-D03,F44   ,D45-D05|

   |    0,    0,    0,D54-D04,G55|

E22=-D02+(D12-D02)(D21-D01)/D01

-α^2|D11-D01,    0,    0,    0,0|

   |    0,   E22,D23-D03,    0,0|

   |    0,D32-D02,E33   ,D34-D04,0|

   |    0,    0,D43-D03,F44   ,D45-D05|

   |    0,    0,    0,D54-D04,G55|

F33=E33-(D23-D03)(D32-D02)/E22

-α^2|D11-D01,0 ,    0,    0,0|

   |    0,E22,    0,    0,0|

   |    0, 0,F33   ,D34-D04,0|

   |    0, 0,D43-D03,F44   ,D45-D05|

   |    0, 0,    0,D54-D04,G55|

G44=F44-(D34-D04)(D43-D03)/F33

-α^2|D11-D01, 0, 0, 0,0|

   |    0,E22  0, 0,0|

   |    0, 0,F33, 0,0|

   |    0, 0, 0,G44,D45-D05|

   |    0, 0,    0,D54-D04,G55|

H55=G55-(D45-D05)(D54-D04)/G44

α^2|D01, 0, 0,0 ,0|

  | 0,E22, 0,0 ,0|

  | 0,  ,F33,0 ,0|

  | 0,  , 0,G44,0|

  | 0,  , 0,0 ,H55|

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