■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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