Packing of unitary-radius spheres in a cuboid (minimizing volume)

Number of items Height Length Width Item-item
Overlap		 Item-object
Overlap		 Solution Files Number of trials CPU time in seconds
1 1.9999994082 1.9999994082 1.9999994082 0.0E+00 5.9E-07 IMAGE scbd-minv-1.dat scbd-minv-1.vmd 1 0.00
2 2.0000000000 2.0000000000 3.9998520179 1.5E-04 1.1E-13 IMAGE scbd-minv-2.dat scbd-minv-2.vmd 1 0.00
3 2.0000000000 2.0000000000 5.9997650951 1.2E-04 1.1E-13 IMAGE scbd-minv-3.dat scbd-minv-3.vmd 44 0.26
4 2.0000000000 3.9999067784 3.9999067784 9.3E-05 1.3E-13 IMAGE scbd-minv-4.dat scbd-minv-4.vmd 1 0.00
5 2.0000000000 9.9996271139 2.0000000000 9.3E-05 1.1E-13 IMAGE scbd-minv-5.dat scbd-minv-5.vmd 6469 65.33
6 2.0000000000 3.9999226428 5.9998452847 7.7E-05 1.3E-13 IMAGE scbd-minv-6.dat scbd-minv-6.vmd 3 0.02
7 7.4638804452 3.9999400751 2.0000000000 8.1E-05 1.3E-13 IMAGE scbd-minv-7.dat scbd-minv-7.vmd 152 1.90
8 3.9999353642 3.9999353642 3.9999353642 6.5E-05 9.2E-14 IMAGE scbd-minv-8.dat scbd-minv-8.vmd 2 0.02
9 2.0000000000 5.9998707285 5.9998707285 6.5E-05 1.2E-13 IMAGE scbd-minv-9.dat scbd-minv-9.vmd 190 11.12
10 2.0000000000 3.9999370664 9.9997482632 6.3E-05 1.2E-13 IMAGE scbd-minv-10.dat scbd-minv-10.vmd 8643 333.13
11 7.9996484758 2.0000000000 5.4639222153 1.4E-04 2.2E-12 IMAGE scbd-minv-11.dat scbd-minv-11.vmd 202 2.44
12 5.9997649343 3.9998824683 3.9998824683 1.2E-04 2.0E-12 IMAGE scbd-minv-12.dat scbd-minv-12.vmd 1 0.01
13 8.9278206589 2.0000000000 5.9997946298 1.3E-04 2.3E-12 IMAGE scbd-minv-13.dat scbd-minv-13.vmd 3124 69.66
14 5.4639471485 2.0000000000 9.9995751531 1.3E-04 2.0E-12 IMAGE scbd-minv-14.dat scbd-minv-14.vmd 29657 787.95
15 7.9996838961 7.4638276614 2.0000000000 1.3E-04 2.2E-12 IMAGE scbd-minv-15.dat scbd-minv-15.vmd 266 7.94
16 3.7319816590 3.7319816590 8.9996807054 1.1E-04 2.2E-12 IMAGE scbd-minv-16.dat scbd-minv-16.vmd 246 10.18
17 11.4636013874 5.9997955157 2.0000000000 1.3E-04 2.3E-12 IMAGE scbd-minv-17.dat scbd-minv-17.vmd 81164 3630.50
18 3.7319855151 9.9996565716 3.7319855151 1.0E-04 2.1E-12 IMAGE scbd-minv-18.dat scbd-minv-18.vmd 1391 58.86
19 2.0000000000 9.4637456920 7.9997083203 1.2E-04 2.1E-12 IMAGE scbd-minv-19.dat scbd-minv-19.vmd 545 36.15
20 3.7319889320 3.7319889320 10.9996304432 1.0E-04 2.0E-12 IMAGE scbd-minv-20.dat scbd-minv-20.vmd 2488 189.12
21 3.7319840662 5.4639638751 7.9997917071 9.5E-05 2.6E-12 IMAGE scbd-minv-21.dat scbd-minv-21.vmd 28 3.27
22 4.8282875226 5.9998723682 5.9998723682 9.7E-05 2.8E-12 IMAGE scbd-minv-22.dat scbd-minv-22.vmd 249 27.65
23 4.8283548413 7.6565874480 4.8283548413 7.3E-05 2.6E-12 IMAGE scbd-minv-23.dat scbd-minv-23.vmd 15 1.94
24 3.7319892222 5.4639744767 8.9997659859 9.2E-05 2.3E-12 IMAGE scbd-minv-24.dat scbd-minv-24.vmd 52 5.74
25 3.7319795011 5.9998979005 8.9279025044 8.6E-05 2.7E-12 IMAGE scbd-minv-25.dat scbd-minv-25.vmd 104 16.62
26 5.4639484659 3.7319762835 9.9742707123 2.3E-04 3.2E-11 IMAGE scbd-minv-26.dat scbd-minv-26.vmd 167 31.61
27 3.7319928014 9.9997461864 5.4639818590 8.7E-05 2.3E-12 IMAGE scbd-minv-27.dat scbd-minv-27.vmd 57 11.45
28 3.7319897620 7.9998295947 7.1959606322 8.3E-05 2.3E-12 IMAGE scbd-minv-28.dat scbd-minv-28.vmd 27 5.78
29 5.4639615210 3.7319826950 10.9742467685 2.3E-04 3.1E-11 IMAGE scbd-minv-29.dat scbd-minv-29.vmd 2717 740.63
30 3.7319958897 10.9997251845 5.4639882208 8.5E-05 2.1E-12 IMAGE scbd-minv-30.dat scbd-minv-30.vmd 433 124.04
31 5.4638915004 7.9996954592 5.4639083563 1.8E-04 1.7E-08 IMAGE scbd-minv-31.dat scbd-minv-31.vmd 28 14.90
32 5.4639777146 5.4639777146 7.9998611848 7.5E-05 2.7E-12 IMAGE scbd-minv-32.dat scbd-minv-32.vmd 40 15.21
33 3.7319983540 11.9997062916 5.4639933032 8.2E-05 2.1E-12 IMAGE scbd-minv-33.dat scbd-minv-33.vmd 214 92.95
34 3.7319936763 5.4639912617 12.8589488963 2.2E-04 1.8E-11 IMAGE scbd-minv-34.dat scbd-minv-34.vmd 3778 2079.04
35 3.7319987413 5.4639946940 12.9996092372 1.3E-04 2.4E-12 IMAGE scbd-minv-35.dat scbd-minv-35.vmd 2311 1194.94
36 3.7320004885 5.4639977043 12.9996874801 7.9E-05 2.0E-12 IMAGE scbd-minv-36.dat scbd-minv-36.vmd 2007 1100.58
37 4.8283733467 7.6566693014 7.6566712985 8.1E-05 2.5E-12 IMAGE scbd-minv-37.dat scbd-minv-37.vmd 469 313.75
38 7.6566840081 4.8283780629 7.6566840081 6.0E-05 1.9E-12 IMAGE scbd-minv-38.dat scbd-minv-38.vmd 101 83.73
39 3.7320023049 5.4640014512 13.9996696629 7.7E-05 1.9E-12 IMAGE scbd-minv-39.dat scbd-minv-39.vmd 584 440.22
40 3.7320006207 7.1959946200 10.9997719786 7.3E-05 1.9E-12 IMAGE scbd-minv-40.dat scbd-minv-40.vmd 41 36.76
41 5.4639942369 5.4639942369 9.9998247954 6.8E-05 2.4E-12 IMAGE scbd-minv-41.dat scbd-minv-41.vmd 163 131.50
42 5.4639906152 7.1959834279 7.9998806718 6.9E-05 2.4E-12 IMAGE scbd-minv-42.dat scbd-minv-42.vmd 35 65.80
43 3.7319926669 11.9992433167 7.1959553361 3.0E-04 1.5E-08 IMAGE scbd-minv-43.dat scbd-minv-43.vmd 226 250.90
44 3.7320029043 11.9997554903 7.1960017830 7.1E-05 1.8E-12 IMAGE scbd-minv-44.dat scbd-minv-44.vmd 226 282.48
45 5.4640016367 10.9997985680 5.4640016367 7.1E-05 2.0E-12 IMAGE scbd-minv-45.dat scbd-minv-45.vmd 196 330.20
46 3.7320002792 7.1959915445 12.9657366193 2.4E-04 3.6E-12 IMAGE scbd-minv-46.dat scbd-minv-46.vmd 1093 1558.49
47 3.7320057053 12.9997061426 7.1960058286 1.0E-04 2.4E-12 IMAGE scbd-minv-47.dat scbd-minv-47.vmd 1776 2685.36
48 3.7320048642 7.1960079302 12.9997392813 6.9E-05 1.8E-12 IMAGE scbd-minv-48.dat scbd-minv-48.vmd 1064 1706.32
49 5.4639845156 11.9995595224 5.4639889656 1.9E-04 6.8E-09 IMAGE scbd-minv-49.dat scbd-minv-49.vmd 651 1195.35
50 5.4640048144 11.9997927906 5.4640048144 6.3E-05 2.1E-12 IMAGE scbd-minv-50.dat scbd-minv-50.vmd 372 780.04
55 3.7320062218 11.9997854621 8.9280146257 6.5E-05 1.7E-12 IMAGE scbd-minv-55.dat scbd-minv-55.vmd 1281 4182.55
60 5.4640104777 10.9998345830 7.1960136241 6.2E-05 2.1E-12 IMAGE scbd-minv-60.dat scbd-minv-60.vmd 159 528.54
65 3.7320096198 8.9280289549 13.9997569867 6.1E-05 1.6E-12 IMAGE scbd-minv-65.dat scbd-minv-65.vmd 2149 12079.50
70 6.2425743011 7.6567464615 10.4850757364 4.3E-05 1.3E-12 IMAGE scbd-minv-70.dat scbd-minv-70.vmd 527 4030.11
75 5.4640168915 10.9998561341 8.9280296531 5.6E-05 1.9E-12 IMAGE scbd-minv-75.dat scbd-minv-75.vmd 1143 9880.04
80 6.2425798506 7.6567555710 11.8992578456 4.1E-05 1.3E-12 IMAGE scbd-minv-80.dat scbd-minv-80.vmd 916 10746.17
85 7.1959936564 11.9996488835 7.1959794230 1.6E-04 1.0E-08 IMAGE scbd-minv-85.dat scbd-minv-85.vmd 541 9832.95
90 6.2425842090 13.3134414952 7.6567626911 4.0E-05 1.3E-12 IMAGE scbd-minv-90.dat scbd-minv-90.vmd 221 5125.24
95 5.4640176971 8.9280290941 13.9997110994 1.1E-04 4.0E-09 IMAGE scbd-minv-95.dat scbd-minv-95.vmd 281 7130.70
100 5.4640342817 8.9280659172 14.9594160981 3.7E-04 1.3E-10 IMAGE scbd-minv-100.dat scbd-minv-100.vmd 121 3856.04