Spherical Coverings

R. H. Hardin, N. J. A. Sloane and W. D. Smith

 A library of putatively optimal coverings of the sphere with n equal caps.

Summary of results:

Coverings by points on a sphere
Copyright R. H. Hardin, N. J. A. Sloane & W. D. Smith, Feb 1994

dim  npts covering radius (degrees)

  3    4   70.5287794
  3    5   63.4349488
  3    6   54.7356103
  3    7   51.0265527
  3    8   48.1395291
  3    9   45.8788878
  3   10   42.3078266
  3   11   41.4271960
  3   12   37.3773681
  3   13   37.0685427
  3   14   34.9379270
  3   15   34.0399001
  3   16   32.8988128
  3   17   32.0929328
  3   18   31.0131718
  3   19   30.3686748
  3   20   29.6230958
  3   21   28.8244768
  3   22   27.8100588
  3   23   27.4818687
  3   24   26.8126364
  3   25   26.3287855
  3   26   25.8449223
  3   27   25.2509549
  3   28   24.6589489
  3   29   24.3683986
  3   30   23.8787580
  3   31   23.6119921
  3   32   22.6904804
  3   33   22.5905116
  3   34   22.3314637
  3   35   22.0725569
  3   36   21.6994390
  3   37   21.3100299
  3   38   21.0698584
  3   39   20.8511244
  3   40   20.4721353
  3   41   20.3177152
  3   42   20.0480917
  3   43   19.8428333
  3   44   19.6375705
  3   45   19.4207407
  3   46   19.1586113
  3   47   18.9924594
  3   48   18.6892566
  3   49   18.5926796
  3   50   18.3000226
  3   51   18.1990011
  3   52   18.0544758
  3   53   17.8845734
  3   54   17.6791447
  3   55   17.5222392
  3   56   17.3501139
  3   57   17.1758476
  3   58   17.0199610
  3   59   16.9034031
  3   60   16.7719330
  3   61   16.6391845
  3   62   16.4906596
  3   63   16.3679364
  3   64   16.1940190
  3   65   16.1114061
  3   66   15.9550615
  3   67   15.8581808
  3   68   15.7236959
  3   69   15.5950401
  3   70   15.4951288
  3   71   15.3918904
  3   72   15.1445321
  3   73   15.1164437
  3   74   15.0311866
  3   75   14.9454277
  3   76   14.8539208
  3   77   14.7449905
  3   78   14.6550577
  3   79   14.5627673
  3   80   14.4503042
  3   81   14.3767803
  3   82   14.2863117
  3   83   14.2239571
  3   84   14.1157901
  3   85   14.0452618
  3   86   13.9626271
  3   87   13.8849703
  3   88   13.7904978
  3   89   13.7120948
  3   90   13.6208737
  3   91   13.5633748
  3   92   13.4878634
  3   93   13.4258226
  3   94   13.3486301
  3   95   13.2858097
  3   96   13.2112886
  3   97   13.1421390
  3   98   13.0644481
  3   99   12.9972791
  3  100   12.9360973
  3  101   12.8693268
  3  102   12.8065480
  3  103   12.7396985
  3  104   12.6710007
  3  105   12.6206479
  3  106   12.5580705
  3  107   12.4984676
  3  108   12.4268411
  3  109   12.3823879
  3  110   12.3000527
  3  111   12.2463574
  3  112   12.1906904
  3  113   12.1475147
  3  114   12.0965651
  3  115   12.0509312
  3  116   11.9886435
  3  117   11.9433897
  3  118   11.8858175
  3  119   11.8437244
  3  120   11.7866486
  3  121   11.7339186
  3  122   11.6770714
  3  123   11.6364348
  3  124   11.5887833
  3  125   11.5384928
  3  126   11.4894028
  3  127   11.4535231
  3  128   11.4068506
  3  129   11.3563380
  3  130   11.3165625




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