Packing of unitary-radius spheres in a squared pyramid

Number of items Side Item-item
Overlap		 Item-object
Overlap		 Solution Files Number of trials CPU time in seconds
1 3.8637033034 0.0E+00 1.8E-09 IMAGE sp-minv-1.dat sp-minv-1.vmd 1 0.00
2 5.2777419314 2.5E-04 6.7E-16 IMAGE sp-minv-2.dat sp-minv-2.vmd 76513 123.24
3 5.7954078635 1.7E-04 1.5E-08 IMAGE sp-minv-3.dat sp-minv-3.vmd 635 1.77
4 5.8636236011 8.0E-05 2.2E-16 IMAGE sp-minv-4.dat sp-minv-4.vmd 4 0.01
5 5.8636160349 8.7E-05 4.9E-15 IMAGE sp-minv-5.dat sp-minv-5.vmd 1 0.00
6 6.6919872393 1.0E-04 1.0E-08 IMAGE sp-minv-6.dat sp-minv-6.vmd 44931 297.79
7 7.1456607739 7.7E-05 2.0E-14 IMAGE sp-minv-7.dat sp-minv-7.vmd 6 0.06
8 7.2778333226 8.1E-05 8.1E-16 IMAGE sp-minv-8.dat sp-minv-8.vmd 1 0.01
9 7.5660753093 4.8E-05 9.3E-16 IMAGE sp-minv-9.dat sp-minv-9.vmd 18 0.31
10 7.7273237304 5.2E-05 1.2E-14 IMAGE sp-minv-10.dat sp-minv-10.vmd 26 0.88
11 7.8588071332 5.2E-04 1.9E-09 IMAGE sp-minv-11.dat sp-minv-11.vmd 1030 23.17
12 7.8632345878 3.2E-04 1.2E-09 IMAGE sp-minv-12.dat sp-minv-12.vmd 76 1.06
13 7.8634093587 1.5E-04 1.2E-09 IMAGE sp-minv-13.dat sp-minv-13.vmd 47356 842.30
14 7.8634553793 1.3E-04 5.5E-07 IMAGE sp-minv-14.dat sp-minv-14.vmd 52431 1381.16
15 8.6303103460 2.5E-04 1.0E-07 IMAGE sp-minv-15.dat sp-minv-15.vmd 125542 5056.48
16 8.8467717390 2.6E-04 6.8E-10 IMAGE sp-minv-16.dat sp-minv-16.vmd 4794 227.53
17 8.9751441419 2.3E-04 2.8E-11 IMAGE sp-minv-17.dat sp-minv-17.vmd 22129 1436.38
18 9.1412510454 2.2E-04 3.2E-12 IMAGE sp-minv-18.dat sp-minv-18.vmd 88 7.54
19 9.2769864393 3.4E-04 8.1E-09 IMAGE sp-minv-19.dat sp-minv-19.vmd 6207 536.42
20 9.2776202362 2.1E-04 1.3E-11 IMAGE sp-minv-20.dat sp-minv-20.vmd 131 12.97
21 9.5209353533 2.7E-04 4.9E-11 IMAGE sp-minv-21.dat sp-minv-21.vmd 12711 1786.64
22 9.5954475686 1.8E-04 7.5E-12 IMAGE sp-minv-22.dat sp-minv-22.vmd 4311 806.86
23 9.7466361361 2.6E-04 7.4E-11 IMAGE sp-minv-23.dat sp-minv-23.vmd 4001 1211.45
24 9.8116682857 4.1E-04 5.0E-09 IMAGE sp-minv-24.dat sp-minv-24.vmd 1775 870.79
25 9.8544161043 3.5E-04 6.5E-08 IMAGE sp-minv-25.dat sp-minv-25.vmd 3397 1788.22
26 9.8627741922 3.3E-04 3.4E-08 IMAGE sp-minv-26.dat sp-minv-26.vmd 11184 2079.06
27 9.8633027680 1.9E-04 2.6E-08 IMAGE sp-minv-27.dat sp-minv-27.vmd 1 0.16
28 9.8634416955 1.3E-04 9.0E-11 IMAGE sp-minv-28.dat sp-minv-28.vmd 4968 763.78
29 9.8634679168 1.0E-04 3.2E-07 IMAGE sp-minv-29.dat sp-minv-29.vmd 15504 2933.22
30 9.8635090748 6.5E-05 3.2E-14 IMAGE sp-minv-30.dat sp-minv-30.vmd 10 3.07
31 10.5305062334 2.1E-04 9.7E-12 IMAGE sp-minv-31.dat sp-minv-31.vmd 222 75.77
32 10.6235488127 4.3E-04 1.2E-10 IMAGE sp-minv-32.dat sp-minv-32.vmd 205 69.52
33 10.7625054766 1.8E-04 2.9E-11 IMAGE sp-minv-33.dat sp-minv-33.vmd 5998 2302.24
34 10.8335071538 2.5E-04 3.1E-09 IMAGE sp-minv-34.dat sp-minv-34.vmd 439 188.65
35 11.0171361880 3.6E-04 6.5E-11 IMAGE sp-minv-35.dat sp-minv-35.vmd 7822 3936.21
36 11.0838846064 2.3E-04 2.9E-11 IMAGE sp-minv-36.dat sp-minv-36.vmd 807 438.08
37 11.1960904966 1.7E-04 6.2E-11 IMAGE sp-minv-37.dat sp-minv-37.vmd 3171 1925.58
38 11.2697974969 2.1E-04 1.0E-10 IMAGE sp-minv-38.dat sp-minv-38.vmd 7107 4827.63
39 11.2890658063 2.2E-04 1.1E-10 IMAGE sp-minv-39.dat sp-minv-39.vmd 2714 2023.80
40 11.4043727618 2.1E-04 3.1E-09 IMAGE sp-minv-40.dat sp-minv-40.vmd 488 427.13
41 11.5140686475 1.9E-04 1.3E-09 IMAGE sp-minv-41.dat sp-minv-41.vmd 1728 1720.52
42 11.6082371018 2.3E-04 2.2E-09 IMAGE sp-minv-42.dat sp-minv-42.vmd 2370 2892.09
43 11.6669595312 2.3E-04 8.6E-11 IMAGE sp-minv-43.dat sp-minv-43.vmd 1619 2503.32
44 11.7267093766 2.0E-04 4.2E-10 IMAGE sp-minv-44.dat sp-minv-44.vmd 1379 3137.88
45 11.7669103726 2.6E-04 1.2E-10 IMAGE sp-minv-45.dat sp-minv-45.vmd 866 3326.24
46 11.8183969887 2.3E-04 1.9E-10 IMAGE sp-minv-46.dat sp-minv-46.vmd 84 564.24
47 11.8389199288 2.3E-04 3.3E-10 IMAGE sp-minv-47.dat sp-minv-47.vmd 320 3600.45
48 11.8543855969 2.2E-04 8.0E-10 IMAGE sp-minv-48.dat sp-minv-48.vmd 236 2253.77
49 11.8602390935 2.5E-04 1.5E-09 IMAGE sp-minv-49.dat sp-minv-49.vmd 45 141.31
50 11.8631629616 2.5E-04 3.5E-08 IMAGE sp-minv-50.dat sp-minv-50.vmd 1843 2857.54
55 11.8635296721 4.3E-05 1.2E-11 IMAGE sp-minv-55.dat sp-minv-55.vmd 16 35.29
60 12.7654145569 1.9E-04 2.5E-09 IMAGE sp-minv-60.dat sp-minv-60.vmd 7343 14396.49
65 13.1924098309 1.9E-04 4.6E-10 IMAGE sp-minv-65.dat sp-minv-65.vmd 2973 8374.26
70 13.4726646298 2.0E-04 5.2E-11 IMAGE sp-minv-70.dat sp-minv-70.vmd 50 200.03
75 13.7256661130 2.0E-04 1.8E-10 IMAGE sp-minv-75.dat sp-minv-75.vmd 1269 12394.59
80 13.8486607110 2.1E-04 7.7E-09 IMAGE sp-minv-80.dat sp-minv-80.vmd 25 1226.70
85 13.8632029690 2.2E-04 7.3E-09 IMAGE sp-minv-85.dat sp-minv-85.vmd 705 5006.65
90 13.8635411877 4.3E-05 3.9E-12 IMAGE sp-minv-90.dat sp-minv-90.vmd 3 19.76
95 14.5689221176 1.5E-04 4.1E-11 IMAGE sp-minv-95.dat sp-minv-95.vmd 1483 12711.10
100 14.9342481081 1.8E-04 8.0E-11 IMAGE sp-minv-100.dat sp-minv-100.vmd 1451 13824.93