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

Number of items Height Length Width Item-item
Overlap		 Item-object
Overlap		 Solution Files Number of trials CPU time in seconds
1 1.9999998015 1.9999998015 1.9999998015 0.0E+00 2.0E-07 IMAGE scbd-mins-1.dat scbd-mins-1.vmd 1 0.00
2 2.0000000000 3.9998520181 2.0000000000 1.5E-04 5.2E-14 IMAGE scbd-mins-2.dat scbd-mins-2.vmd 1 0.00
3 5.9997650951 2.0000000000 2.0000000000 1.2E-04 5.6E-14 IMAGE scbd-mins-3.dat scbd-mins-3.vmd 8 0.04
4 3.9999153028 3.9999153028 2.0000000000 8.5E-05 3.0E-14 IMAGE scbd-mins-4.dat scbd-mins-4.vmd 1 0.00
5 3.9999512713 5.4639348176 2.0000000000 8.4E-05 6.0E-14 IMAGE scbd-mins-5.dat scbd-mins-5.vmd 9 3.16
6 5.9998549455 3.9999355322 2.0000000000 7.3E-05 3.5E-14 IMAGE scbd-mins-6.dat scbd-mins-6.vmd 8 2.79
7 7.4638868064 3.9999563663 2.0000000000 7.6E-05 6.3E-14 IMAGE scbd-mins-7.dat scbd-mins-7.vmd 176 13.50
8 5.4640108186 5.9998908944 2.0000000000 6.2E-05 5.0E-14 IMAGE scbd-mins-8.dat scbd-mins-8.vmd 1802 66.20
9 5.9998870712 5.9998870712 2.0000000000 5.6E-05 2.7E-14 IMAGE scbd-mins-9.dat scbd-mins-9.vmd 5573 192.27
10 5.9998991367 3.7320243621 3.7320243621 5.0E-05 4.1E-14 IMAGE scbd-mins-10.dat scbd-mins-10.vmd 1 0.01
11 7.9994404199 5.4638610588 2.0000000000 2.0E-04 7.2E-12 IMAGE scbd-mins-11.dat scbd-mins-11.vmd 91260 1346.28
12 5.9996461265 7.9994337904 2.0000000000 1.9E-04 3.7E-12 IMAGE scbd-mins-12.dat scbd-mins-12.vmd 61429 924.33
13 6.8277518754 3.9999337537 3.9999337537 2.2E-04 6.5E-12 IMAGE scbd-mins-13.dat scbd-mins-13.vmd 96 4.50
14 4.8281141461 5.9997880092 3.9999467126 1.6E-04 2.6E-12 IMAGE scbd-mins-14.dat scbd-mins-14.vmd 6 0.22
15 5.4638832882 5.9997645604 3.7319723788 1.4E-04 3.4E-12 IMAGE scbd-mins-15.dat scbd-mins-15.vmd 17 0.43
16 6.2423258359 6.2423258359 3.4142320441 1.5E-04 2.7E-12 IMAGE scbd-mins-16.dat scbd-mins-16.vmd 9268 409.44
17 5.4638212027 6.9742074355 3.7319493416 3.4E-04 8.3E-11 IMAGE scbd-mins-17.dat scbd-mins-17.vmd 631 32.19
18 6.9996882715 5.4639276546 3.7319915897 1.4E-04 2.9E-12 IMAGE scbd-mins-18.dat scbd-mins-18.vmd 46 2.10
19 7.9996695729 4.8282103240 3.9999557695 1.3E-04 2.1E-12 IMAGE scbd-mins-19.dat scbd-mins-19.vmd 556 35.53
20 5.9998330126 7.1958225538 3.7319840261 1.3E-04 2.8E-12 IMAGE scbd-mins-20.dat scbd-mins-20.vmd 693 59.56
21 5.4639501784 7.9996463417 3.7320008721 1.3E-04 2.9E-12 IMAGE scbd-mins-21.dat scbd-mins-21.vmd 602 76.94
22 7.9996349464 5.4639607819 3.9999031097 1.3E-04 3.0E-12 IMAGE scbd-mins-22.dat scbd-mins-22.vmd 7018 851.17
23 6.9995678216 7.1956140331 3.7319880108 2.2E-04 9.6E-09 IMAGE scbd-mins-23.dat scbd-mins-23.vmd 594 77.65
24 6.9997694833 7.1958834279 3.7320005199 1.2E-04 2.4E-12 IMAGE scbd-mins-24.dat scbd-mins-24.vmd 479 65.58
25 5.9998728297 8.9277722105 3.7319917901 1.2E-04 2.6E-12 IMAGE scbd-mins-25.dat scbd-mins-25.vmd 14665 2708.88
26 7.9658996899 7.1959593106 3.7320172791 2.0E-04 1.4E-12 IMAGE scbd-mins-26.dat scbd-mins-26.vmd 5664 1163.01
27 5.4639826430 9.9995542616 3.7320141670 1.3E-04 2.4E-12 IMAGE scbd-mins-27.dat scbd-mins-27.vmd 10332 2047.66
28 7.9997307495 7.1959176362 3.7320092538 1.1E-04 2.1E-12 IMAGE scbd-mins-28.dat scbd-mins-28.vmd 3855 954.04
29 6.9997214200 8.9278148456 3.7320060834 1.7E-04 4.0E-12 IMAGE scbd-mins-29.dat scbd-mins-29.vmd 14665 3963.90
30 6.9998178874 8.9278471493 3.7320065066 1.1E-04 5.8E-12 IMAGE scbd-mins-30.dat scbd-mins-30.vmd 14019 3830.02
31 7.1959753668 8.9996802550 3.7320300978 1.6E-04 2.3E-09 IMAGE scbd-mins-31.dat scbd-mins-31.vmd 5611 1799.10
32 5.4639770041 7.9997796243 5.4639770041 8.8E-05 2.1E-12 IMAGE scbd-mins-32.dat scbd-mins-32.vmd 237 90.65
33 7.1960389489 9.8130876582 3.7320307315 2.1E-04 5.3E-12 IMAGE scbd-mins-33.dat scbd-mins-33.vmd 5033 2240.11
34 7.4612564245 9.9664645648 3.7320116113 2.9E-04 1.2E-08 IMAGE scbd-mins-34.dat scbd-mins-34.vmd 5033 2474.26
35 6.2425430006 9.0706267144 4.8284135759 1.2E-04 5.8E-12 IMAGE scbd-mins-35.dat scbd-mins-35.vmd 1735 803.04
36 7.1959652997 9.9996505797 3.7320211822 1.0E-04 2.1E-12 IMAGE scbd-mins-36.dat scbd-mins-36.vmd 5033 2371.79
37 7.6565980201 7.6565995398 4.8284183539 1.1E-04 2.1E-12 IMAGE scbd-mins-37.dat scbd-mins-37.vmd 78 32.56
38 7.6566177480 7.6566177480 4.8284198756 8.4E-05 1.4E-12 IMAGE scbd-mins-38.dat scbd-mins-38.vmd 2030 1228.74
39 6.9978553162 7.9997871781 5.4640126543 9.7E-05 1.8E-12 IMAGE scbd-mins-39.dat scbd-mins-39.vmd 762 541.79
40 7.3884098761 7.9997867024 5.2659037464 1.1E-04 3.8E-12 IMAGE scbd-mins-40.dat scbd-mins-40.vmd 4159 3422.84
41 7.1958647739 7.9996918020 5.4639887407 2.0E-04 7.8E-11 IMAGE scbd-mins-41.dat scbd-mins-41.vmd 573 465.07
42 7.9998289682 7.1959619143 5.4639991620 8.2E-05 1.8E-12 IMAGE scbd-mins-42.dat scbd-mins-42.vmd 844 727.26
43 7.4638869282 7.9998102754 5.4640058977 1.1E-04 2.4E-12 IMAGE scbd-mins-43.dat scbd-mins-43.vmd 251 203.91
44 7.9998952839 7.4638315875 5.7112633939 1.3E-04 1.9E-10 IMAGE scbd-mins-44.dat scbd-mins-44.vmd 4100 3690.56
45 8.9279089439 6.9998991121 5.4639942298 8.4E-05 1.6E-12 IMAGE scbd-mins-45.dat scbd-mins-45.vmd 2699 2739.59
46 7.1960161968 8.9944778512 5.4640390355 1.8E-04 2.6E-10 IMAGE scbd-mins-46.dat scbd-mins-46.vmd 1057 1078.08
47 7.1959237566 8.9996324205 5.4640009566 1.8E-04 5.6E-09 IMAGE scbd-mins-47.dat scbd-mins-47.vmd 1437 1616.09
48 7.1959859052 8.9997922699 5.4640138768 7.8E-05 1.9E-12 IMAGE scbd-mins-48.dat scbd-mins-48.vmd 1217 1426.20
49 7.9998131188 8.9279159160 5.2659430685 1.1E-04 3.6E-12 IMAGE scbd-mins-49.dat scbd-mins-49.vmd 1627 2012.22
50 7.6566831702 7.6566831702 6.2425762929 6.0E-05 9.2E-13 IMAGE scbd-mins-50.dat scbd-mins-50.vmd 611 853.06
55 7.4639258867 9.9997441915 5.4640300646 9.3E-05 1.8E-12 IMAGE scbd-mins-55.dat scbd-mins-55.vmd 6236 11738.87
60 8.9279785504 8.9998349213 5.4640250495 7.4E-05 1.2E-12 IMAGE scbd-mins-60.dat scbd-mins-60.vmd 5148 11962.53
65 8.9278768296 9.9994110181 5.4640152915 3.4E-04 2.4E-08 IMAGE scbd-mins-65.dat scbd-mins-65.vmd 677 1927.84
70 7.6567505843 10.4849680177 6.2426124333 5.5E-05 1.4E-12 IMAGE scbd-mins-70.dat scbd-mins-70.vmd 1371 4660.10
75 9.1634519725 11.1805242617 5.5583422100 2.6E-04 1.5E-08 IMAGE scbd-mins-75.dat scbd-mins-75.vmd 1065 4354.79
80 8.9277971955 11.9991661607 5.4639641616 3.0E-04 2.7E-08 IMAGE scbd-mins-80.dat scbd-mins-80.vmd 1285 5590.88
85 10.6601156192 10.9993312884 5.4640567077 2.6E-04 4.0E-09 IMAGE scbd-mins-85.dat scbd-mins-85.vmd 403 2609.07
90 10.3636092004 8.9269377677 7.1941376138 2.0E-04 7.2E-10 IMAGE scbd-mins-90.dat scbd-mins-90.vmd 640 3846.05
95 12.2608997182 9.0875358264 6.3481408059 1.8E-04 9.3E-09 IMAGE scbd-mins-95.dat scbd-mins-95.vmd 1148 8940.14
100 9.0709141038 10.4850433554 7.6567796673 1.3E-04 1.1E-09 IMAGE scbd-mins-100.dat scbd-mins-100.vmd 458 3750.58