■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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