Packing of unitary-radius spheres in a cube

Number of items Side Item-item
Overlap
Item-object
Overlap
Solution Files Number of trials CPU time in seconds
1 1.9999987021 0.0E+00 9.0E-07 IMAGE scb-minv-1.dat scb-minv-1.vmd 1 0.00
2 3.1546039826 1.7E-04 0.0E+00 IMAGE scb-minv-2.dat scb-minv-2.vmd 1 0.00
3 3.4141527373 8.6E-05 0.0E+00 IMAGE scb-minv-3.dat scb-minv-3.vmd 1 0.00
4 3.4141480640 9.3E-05 4.4E-16 IMAGE scb-minv-4.dat scb-minv-4.vmd 1 0.00
5 3.7887647862 1.0E-04 9.8E-15 IMAGE scb-minv-5.dat scb-minv-5.vmd 6 0.02
6 3.8855478230 8.9E-05 8.0E-15 IMAGE scb-minv-6.dat scb-minv-6.vmd 30 0.16
7 3.9977338382 9.5E-05 0.0E+00 IMAGE scb-minv-7.dat scb-minv-7.vmd 7 0.08
8 3.9999345267 6.5E-05 0.0E+00 IMAGE scb-minv-8.dat scb-minv-8.vmd 2 0.01
9 4.3093402273 5.3E-05 4.0E-15 IMAGE scb-minv-9.dat scb-minv-9.vmd 5 0.05
10 4.6666081946 5.4E-05 1.0E-13 IMAGE scb-minv-10.dat scb-minv-10.vmd 7 0.16
11 4.8159601052 4.5E-04 1.2E-08 IMAGE scb-minv-11.dat scb-minv-11.vmd 54 1.59
12 4.8280686639 3.0E-04 3.4E-08 IMAGE scb-minv-12.dat scb-minv-12.vmd 38 0.92
13 4.8282131208 1.8E-04 5.1E-09 IMAGE scb-minv-13.dat scb-minv-13.vmd 174620 3976.21
14 4.8282912625 9.6E-05 5.1E-12 IMAGE scb-minv-14.dat scb-minv-14.vmd 16 0.79
15 5.1997445225 1.8E-04 1.7E-12 IMAGE scb-minv-15.dat scb-minv-15.vmd 19 0.67
16 5.2964155013 2.9E-04 1.6E-10 IMAGE scb-minv-16.dat scb-minv-16.vmd 8613 347.70
17 5.2996749577 1.3E-04 1.3E-11 IMAGE scb-minv-17.dat scb-minv-17.vmd 2369 102.03
18 5.3279843248 1.3E-04 7.7E-07 IMAGE scb-minv-18.dat scb-minv-18.vmd 397 15.87
19 5.4586383844 2.5E-04 1.4E-08 IMAGE scb-minv-19.dat scb-minv-19.vmd 15 0.63
20 5.6048721029 1.9E-04 1.2E-11 IMAGE scb-minv-20.dat scb-minv-20.vmd 11 1.10
21 5.6431452803 2.1E-04 1.0E-08 IMAGE scb-minv-21.dat scb-minv-21.vmd 31462 2304.53
22 5.7710452688 1.2E-04 9.2E-12 IMAGE scb-minv-22.dat scb-minv-22.vmd 1955 167.46
23 5.8199237336 1.7E-04 3.6E-11 IMAGE scb-minv-23.dat scb-minv-23.vmd 510 60.12
24 5.8633943713 2.0E-04 2.3E-11 IMAGE scb-minv-24.dat scb-minv-24.vmd 16 2.62
25 5.9589662351 2.6E-04 1.5E-10 IMAGE scb-minv-25.dat scb-minv-25.vmd 2698 498.53
26 5.9952148260 2.5E-04 1.7E-08 IMAGE scb-minv-26.dat scb-minv-26.vmd 18699 3662.64
27 5.9998355203 8.2E-05 0.0E+00 IMAGE scb-minv-27.dat scb-minv-27.vmd 129 15.38
28 6.2421317695 2.5E-04 6.5E-08 IMAGE scb-minv-28.dat scb-minv-28.vmd 444 61.10
29 6.2423824504 1.8E-04 2.4E-09 IMAGE scb-minv-29.dat scb-minv-29.vmd 31 5.70
30 6.2424721518 1.6E-04 4.6E-11 IMAGE scb-minv-30.dat scb-minv-30.vmd 234 38.72
31 6.2425174557 7.4E-05 1.0E-12 IMAGE scb-minv-31.dat scb-minv-31.vmd 84 16.64
32 6.2425285827 5.3E-05 3.1E-12 IMAGE scb-minv-32.dat scb-minv-32.vmd 131 30.17
33 6.4689813902 2.0E-04 3.1E-10 IMAGE scb-minv-33.dat scb-minv-33.vmd 1296 317.73
34 6.5735658875 2.9E-04 8.1E-10 IMAGE scb-minv-34.dat scb-minv-34.vmd 16404 4566.06
35 6.5931612342 8.8E-05 2.3E-11 IMAGE scb-minv-35.dat scb-minv-35.vmd 723 232.06
36 6.6970889746 3.4E-04 6.8E-10 IMAGE scb-minv-36.dat scb-minv-36.vmd 978 334.66
37 6.7083709308 1.6E-04 5.7E-10 IMAGE scb-minv-37.dat scb-minv-37.vmd 1466 531.11
38 6.7093947495 1.6E-04 6.3E-11 IMAGE scb-minv-38.dat scb-minv-38.vmd 2380 904.71
39 6.7739983433 1.9E-04 2.8E-11 IMAGE scb-minv-39.dat scb-minv-39.vmd 932 373.05
40 6.7998570644 6.0E-05 1.5E-11 IMAGE scb-minv-40.dat scb-minv-40.vmd 64 26.03
41 6.9039667243 2.4E-04 1.5E-09 IMAGE scb-minv-41.dat scb-minv-41.vmd 264 118.77
42 6.9906644142 2.7E-04 3.4E-10 IMAGE scb-minv-42.dat scb-minv-42.vmd 3311 1603.80
43 7.0610542561 2.9E-04 2.4E-09 IMAGE scb-minv-43.dat scb-minv-43.vmd 784 404.43
44 7.0991542522 2.1E-04 7.6E-11 IMAGE scb-minv-44.dat scb-minv-44.vmd 2267 1182.99
45 7.1269867567 2.3E-04 1.9E-10 IMAGE scb-minv-45.dat scb-minv-45.vmd 4296 2489.95
46 7.1396025069 2.1E-04 3.7E-09 IMAGE scb-minv-46.dat scb-minv-46.vmd 82 51.34
47 7.1447631846 1.4E-04 9.3E-10 IMAGE scb-minv-47.dat scb-minv-47.vmd 1920 1346.72
48 7.2254788705 2.3E-04 2.8E-10 IMAGE scb-minv-48.dat scb-minv-48.vmd 5737 4332.82
49 7.3396050716 3.2E-04 1.0E-09 IMAGE scb-minv-49.dat scb-minv-49.vmd 932 730.42
50 7.3606467872 2.6E-04 4.2E-10 IMAGE scb-minv-50.dat scb-minv-50.vmd 4006 3033.72
55 7.6497254384 2.1E-04 7.8E-10 IMAGE scb-minv-55.dat scb-minv-55.vmd 4010 3203.65
60 7.6567160689 9.8E-05 2.8E-11 IMAGE scb-minv-60.dat scb-minv-60.vmd 4852 6813.36
65 7.9389780072 2.8E-04 4.3E-09 IMAGE scb-minv-65.dat scb-minv-65.vmd 3017 3793.23
70 8.1572766782 3.6E-04 4.0E-09 IMAGE scb-minv-70.dat scb-minv-70.vmd 6546 9820.31
75 8.2424863321 9.4E-05 1.2E-11 IMAGE scb-minv-75.dat scb-minv-75.vmd 1282 2421.85
80 8.5400043137 2.0E-04 1.8E-10 IMAGE scb-minv-80.dat scb-minv-80.vmd 544 1510.71
85 8.6924540639 1.5E-04 4.8E-09 IMAGE scb-minv-85.dat scb-minv-85.vmd 2531 6846.96
90 8.8678323052 1.6E-04 7.8E-10 IMAGE scb-minv-90.dat scb-minv-90.vmd 1817 5704.30
95 9.0184678703 2.8E-04 4.9E-09 IMAGE scb-minv-95.dat scb-minv-95.vmd 47 167.02
100 9.1663256540 2.0E-04 1.4E-08 IMAGE scb-minv-100.dat scb-minv-100.vmd 1070 4206.24