■サマーヴィルの等面四面体(その855)

 nが大きくなると,mも大きくなるものと思われたが,それほど大きくなるわけではないようである.nξに上限は存在するのだろうか?

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n      cosξ    ξ      nξ

2 -1 180 360

3 -.666667 131.81 395.431

4 -.25 104.477 417.91

5 .0582576 86.6603 433.301

6 .274292 74.0802 444.481

7 .427207 64.7096 452.967

8 .537986 57.4534 459.627

9 .620247 51.6659 464.993

10 .682753 46.9409 469.409

11 .731239 43.0097 473.106

12 .769541 39.6873 476.248

13 .800289 36.8423 478.95

14 .825326 34.3785 481.299

15 .845971 32.2239 483.359

16 .863186 30.3238 485.181

17 .877686 28.6355 486.804

18 .89001 27.1255 488.259

19 .90057 25.7669 489.572

20 .909686 24.538 490.76

21 .917609 23.421 491.842

22 .924537 22.4014 492.83

23 .930629 21.4669 493.739

24 .936015 20.6073 494.574

25 .940799 19.8138 495.346

26 .945067 19.0793 496.062

27 .948891 18.3973 496.727

28 .952329 17.7626 497.352

29 .955433 17.17 497.931

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