# Densest Packings of n Equal Spheres in a Sphere of Radius 1.
# Largest Possible Radii
# The results by Th. Gensane are published in the article
# Dense Packings of Equal Spheres in a Larger Sphere,
# Les Cahiers du LMPA J. Liouville 188, 2003
# Th. Gensane's data for n>40 are from private communication Nov 2005.
# Dave Boll only gave the radii without providing sphere locations.
# Author: Hugo Pfoertner http://www.pfoertner.org/
# URL of this file: http://www.randomwalk.de/sphere/insphr/spisbest.txt
# Date of last update: YYYY MM DD
2008 02 02
#n    Radius   Originator
 1  1.0000000 'common sense'
 2  0.5000000 'common sense'
 3  0.4641016 'Tammes sol.'
 4  0.4494897 'Tammes sol.'
 5  0.4142135 'Tammes sol.'
 6  0.4142135 'Tammes sol.'
 7  0.3859136 'Tammes sol.'
 8  0.3780248 'Tammes sol.'
 9  0.3660254 'Tammes sol.'
10  0.3530494 'Tammes sol.'
11  0.3445765 'Tammes sol.'
12  0.3445765 'Tammes sol.'
13  0.3333333 'Tammes sol.+0'
14  0.3235046 'Tammes sol.+0'
15  0.3183048 'Tammes sol.+0'
16  0.3109759 'Tammes sol.+0'
17  0.3056940 'Tammes sol.+0'
18  0.3012965 'Tammes sol.+0'
19  0.2953323 'Tammes sol.+0'
20  0.2878907 'Tammes sol.+0'
21  0.2868327 'Tammes sol.+0'
22  0.2793425 'Tammes sol.+0'
23  0.2756707 'Tammes sol.+0'
24  0.2713413 'Thierry Gensane'
25  0.2711918 'Tammes sol.+0'
26  0.2668513 'Thierry Gensane' / best HP: 0.2668496
27  0.2622321 'Thierry Gensane'
28  0.2603055 'Thierry Gensane' / best HP: 0.2603008
29  0.2579255 'Thierry Gensane'
30  0.2553306 'Thierry Gensane' / best HP: 0.2553300
31  0.2531162 'Dave Boll' / best HP: 0.2531141
32  0.2507874 'Thierry Gensane'
33  0.2487624 'Thierry Gensane' / best HP: 0.2487614
34  0.2470527 'Thierry Gensane' / best HP: 0.2470423
35  0.2448337 'Thierry Gensane' / best HP: 0.2448284
36  0.2431322 'Thierry Gensane'
37  0.2406866 'Thierry Gensane' / best HP: 0.2406218
38  0.2405156 'Thierry Gensane'
39  0.2367452 'Thierry Gensane' / best HP: 0.2365522
40  0.2349992 'Thierry Gensane' / best HP: 0.2349756
41  0.2327559 'Thierry Gensane' / best HP: 0.2326644
42  0.2321190 'Dave Boll' / best HP: 0.2318415
43  0.2297330 'Thierry Gensane' / best HP: 0.2293405
44  0.2281629 'Thierry Gensane' / best HP: 0.2281582
45  0.2269116 'Thierry Gensane' / best HP: 0.2267410
46  0.2251681 'Dave Boll' / best HP: 0.2251162
47  0.2235070 'Thierry Gensane' / best HP: 0.2234820
48  0.2224059 'Thierry Gensane' / best HP: 0.2223540
49  0.2212751 'Thierry Gensane' / best HP: 0.2209176
50  0.2197529 'Thierry Gensane' / best HP: 0.2193485
51  0.2178888 'HP'
52  0.2167665 'HP'
53  0.2157772 'HP'
54  0.2146846 'HP'
55  0.2132680 'HP'
56  0.2126136 'HP'
57  0.2108661 'HP'
58  0.2103022 'HP'
59  0.2096252 'HP'
60  0.2094269 'HP'
61  0.2089123 'HP'
62  0.2058170 'HP'
63  0.2047140 'HP'
64  0.2036646 'HP'
65  0.2027475 'HP'
66  0.2019158 'HP'
67  0.2004429 'HP'
68  0.1997220 'HP'
69  0.1987922 'HP'
70  0.1983310 'HP'
71  0.1969787 'HP'
72  0.1958001 'HP'