# Densest Packings of n Equal Spheres in a Sphere of Radius 1.
# Largest Possible Radii
# The corresponding results by Th. Gensane published in the
# not easily accessible Les Cahiers du LMPA J. Liouville 188, 2003
# are not included in the following list.
# Dave Boll only gave the radii without providing sphere locations.
# So far, his data for n=31, 39, 41...44 and 46...49 could not be improved.
# 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
2005 06 27
#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  0.3445761 'Tammes sol.'
12  0.3445761 '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  0.2756706 'Tammes sol.+0'
24  0.2713413 'HP'
25  0.2711917 'Tammes sol.+0'
26  0.2668496 'HP'
27  0.2622319 'HP'
28  0.2603008 'HP'
29  0.2579251 'HP'
30  0.2553300 'HP'
31  0.2531150 'Dave Boll' / best HP: 0.2531141
32  0.2507763 'HP'
33  0.2487091 'HP'
34  0.2470392 'HP'
35  0.2448156 'HP'
36  0.2422138 'HP'
37  0.2406218 'HP'
38  0.2405153 'HP'
39  0.2367030 'Dave Boll' / best HP: 0.2364550
40  0.2349756 'HP'
41  0.2327020 'Dave Boll' / best HP: 0.2326007
42  0.2321190 'Dave Boll' / best HP: 0.2318415
43  0.2296670 'Dave Boll' / best HP: 0.2293397
44  0.2280830 'Dave Boll' / best HP: 0.2279659
45  0.2267410 'HP'
46  0.2251640 'Dave Boll' / best HP: 0.2248426
47  0.2233420 'Dave Boll' / best HP: 0.2231777
48  0.2223630 'Dave Boll' / best HP: 0.2218110
49  0.2209800 'Dave Boll' / best HP: 0.2208847
50  0.2192799 'HP'
51  0.2178870 'HP'
52  0.2165021 'HP'
53  0.2156597 'HP'
54  0.2146072 'HP'
55  0.2123940 'HP'
56  0.2114613 'HP'
57  0.2105867 'HP'
58  0.2096213 'HP'
59  0.2094285 'HP'
60  0.2094263 'HP'
61  0.2088827 'HP'
62  0.2053111 'HP'
63  0.2043984 'HP'
64  0.2033423 'HP'
65  0.2023372 'HP'
66  0.2014298 'HP'
67  0.2004418 'HP'
68  0.1993361 'HP'
69  0.1985582 'HP'
70  0.1976337 'HP'
71  0.1961653 'HP'
72  0.1957998 'HP'