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

Number of items Height Radius Item-item
Overlap		 Item-object
Overlap		 Solution Files Number of trials CPU time in seconds
1 2.0000000000 1.0000000000 0.0E+00 2.4E-07 IMAGE scy-mins-1.dat scy-mins-1.vmd 1 0.00
2 2.0000000000 1.9998851315 2.3E-04 1.5E-13 IMAGE scy-mins-2.dat scy-mins-2.vmd 1 0.01
3 2.0000000000 2.1546325115 1.2E-04 5.9E-14 IMAGE scy-mins-3.dat scy-mins-3.vmd 1 0.01
4 7.9995822321 1.0000000000 1.4E-04 4.7E-07 IMAGE scy-mins-4.dat scy-mins-4.vmd 8497 479.64
5 3.6329467608 2.1546454674 1.5E-04 7.2E-14 IMAGE scy-mins-5.dat scy-mins-5.vmd 1058 132.66
6 3.6329550792 2.1546531385 8.2E-05 1.1E-13 IMAGE scy-mins-6.dat scy-mins-6.vmd 56 3.55
7 3.9999562296 2.3228259410 7.1E-05 4.4E-14 IMAGE scy-mins-7.dat scy-mins-7.vmd 237 2.02
8 3.6817732264 2.4141690175 6.3E-05 2.9E-14 IMAGE scy-mins-8.dat scy-mins-8.vmd 1 0.01
9 5.2659119030 2.1546760712 4.5E-05 2.0E-14 IMAGE scy-mins-9.dat scy-mins-9.vmd 346 147.09
10 3.7012882426 2.7012496035 6.1E-05 2.8E-14 IMAGE scy-mins-10.dat scy-mins-10.vmd 11 15.94
11 3.6532929729 2.8209499930 2.0E-04 3.4E-12 IMAGE scy-mins-11.dat scy-mins-11.vmd 7 0.10
12 5.3634470841 2.4141288826 1.2E-04 1.5E-12 IMAGE scy-mins-12.dat scy-mins-12.vmd 17 0.70
13 3.7111744027 2.9998379486 1.6E-04 1.9E-12 IMAGE scy-mins-13.dat scy-mins-13.vmd 2 0.03
14 3.9994148462 2.9961624606 4.7E-04 2.1E-10 IMAGE scy-mins-14.dat scy-mins-14.vmd 6354 192.40
15 5.4025004405 2.7011994854 1.2E-04 1.5E-12 IMAGE scy-mins-15.dat scy-mins-15.vmd 17 0.82
16 7.0451550000 2.4141488724 9.1E-05 1.2E-12 IMAGE scy-mins-16.dat scy-mins-16.vmd 1034 35.49
17 5.2362405719 2.9018413949 2.9E-04 4.4E-12 IMAGE scy-mins-17.dat scy-mins-17.vmd 5 0.13
18 5.4201459445 2.9567222851 2.0E-04 5.0E-12 IMAGE scy-mins-18.dat scy-mins-18.vmd 2 0.05
19 5.4223037529 2.9998633645 2.0E-04 2.8E-12 IMAGE scy-mins-19.dat scy-mins-19.vmd 7 0.19
20 5.4223197427 2.9998806834 1.2E-04 1.4E-12 IMAGE scy-mins-20.dat scy-mins-20.vmd 7 0.39
21 5.9988407441 2.9896028065 3.8E-04 1.5E-09 IMAGE scy-mins-21.dat scy-mins-21.vmd 44 20.41
22 6.9596198256 2.8210553449 1.2E-04 2.1E-12 IMAGE scy-mins-22.dat scy-mins-22.vmd 3 0.18
23 6.7723208885 2.9612676153 1.8E-04 5.1E-12 IMAGE scy-mins-23.dat scy-mins-23.vmd 21 2.10
24 7.1300489686 2.9567312663 2.0E-04 2.2E-11 IMAGE scy-mins-24.dat scy-mins-24.vmd 11 1.12
25 7.4064098865 2.9232129228 4.0E-04 2.6E-10 IMAGE scy-mins-25.dat scy-mins-25.vmd 50 6.84
26 7.1334431350 2.9998954899 1.6E-04 1.7E-12 IMAGE scy-mins-26.dat scy-mins-26.vmd 8 0.42
27 7.1334608972 2.9999050186 9.5E-05 1.2E-12 IMAGE scy-mins-27.dat scy-mins-27.vmd 14 2.16
28 7.9968894897 2.9844231581 3.2E-04 7.3E-11 IMAGE scy-mins-28.dat scy-mins-28.vmd 52 19.44
29 7.9997982380 3.0407002526 1.4E-04 2.4E-12 IMAGE scy-mins-29.dat scy-mins-29.vmd 266 50.36
30 7.1505964007 3.3044734720 3.1E-04 1.4E-08 IMAGE scy-mins-30.dat scy-mins-30.vmd 752 196.98
31 7.1507270283 3.3046552989 9.5E-05 1.1E-12 IMAGE scy-mins-31.dat scy-mins-31.vmd 75 27.03
32 8.8348924555 2.9999147311 1.5E-04 5.8E-11 IMAGE scy-mins-32.dat scy-mins-32.vmd 366 135.11
33 8.8445826634 2.9999150187 1.3E-04 1.2E-12 IMAGE scy-mins-33.dat scy-mins-33.vmd 2 0.10
34 8.8446035999 2.9999206841 7.9E-05 9.4E-13 IMAGE scy-mins-34.dat scy-mins-34.vmd 3 0.51
35 9.9954742176 2.9760543713 2.3E-04 9.1E-12 IMAGE scy-mins-35.dat scy-mins-35.vmd 664 231.91
36 7.1616804229 3.6130019962 9.5E-05 1.2E-12 IMAGE scy-mins-36.dat scy-mins-36.vmd 469 170.05
37 7.1623926235 3.6381953396 3.1E-04 5.7E-10 IMAGE scy-mins-37.dat scy-mins-37.vmd 113 64.50
38 8.8673378976 3.3046009656 1.9E-04 7.1E-09 IMAGE scy-mins-38.dat scy-mins-38.vmd 30 10.20
39 8.8676233722 3.3046726654 8.0E-05 9.4E-13 IMAGE scy-mins-39.dat scy-mins-39.vmd 12 3.99
40 10.5557274333 2.9999277002 1.1E-04 9.2E-13 IMAGE scy-mins-40.dat scy-mins-40.vmd 3 0.70
41 10.5557491304 2.9999315502 6.8E-05 8.3E-13 IMAGE scy-mins-41.dat scy-mins-41.vmd 1 0.10
42 8.7907404838 3.5579717977 3.0E-04 2.1E-10 IMAGE scy-mins-42.dat scy-mins-42.vmd 986 508.68
43 8.8804026948 3.5693360047 2.2E-04 1.2E-11 IMAGE scy-mins-43.dat scy-mins-43.vmd 294 216.45
44 7.1694333250 3.9417801321 3.2E-04 3.4E-11 IMAGE scy-mins-44.dat scy-mins-44.vmd 1002 815.54
45 8.8822182115 3.6130144699 1.3E-04 1.3E-12 IMAGE scy-mins-45.dat scy-mins-45.vmd 1138 916.67
46 7.1833112011 3.9434227567 2.6E-04 7.1E-09 IMAGE scy-mins-46.dat scy-mins-46.vmd 273 147.04
47 12.2668751642 2.9999367635 1.0E-04 8.4E-13 IMAGE scy-mins-47.dat scy-mins-47.vmd 9 5.98
48 12.2668975375 2.9999394941 6.1E-05 7.3E-13 IMAGE scy-mins-48.dat scy-mins-48.vmd 9 2.26
49 8.8864887258 3.7543441279 2.8E-04 4.9E-11 IMAGE scy-mins-49.dat scy-mins-49.vmd 1212 1118.09
50 10.1548109139 3.6130894764 1.7E-04 1.1E-10 IMAGE scy-mins-50.dat scy-mins-50.vmd 273 324.38
55 13.9780304659 2.9999509413 5.8E-05 1.0E-12 IMAGE scy-mins-55.dat scy-mins-55.vmd 24 15.67
60 10.6125761426 3.8506973721 2.0E-04 1.3E-11 IMAGE scy-mins-60.dat scy-mins-60.vmd 964 1328.04
65 10.6151070070 3.9236949232 1.2E-04 2.1E-12 IMAGE scy-mins-65.dat scy-mins-65.vmd 338 480.35
70 15.7352137761 3.3047042663 8.5E-05 7.3E-13 IMAGE scy-mins-70.dat scy-mins-70.vmd 323 836.78
75 12.3341346475 3.9235372581 2.4E-04 1.2E-08 IMAGE scy-mins-75.dat scy-mins-75.vmd 391 1340.64
80 13.7717708962 3.9236584875 1.2E-04 3.4E-12 IMAGE scy-mins-80.dat scy-mins-80.vmd 1837 7192.23
85 13.7807630028 3.9237709088 2.2E-04 1.1E-10 IMAGE scy-mins-85.dat scy-mins-85.vmd 1094 4267.85
90 15.3806065880 3.9237168589 1.4E-04 3.0E-10 IMAGE scy-mins-90.dat scy-mins-90.vmd 88 329.61
95 15.1764940219 3.9237791996 1.8E-04 9.5E-10 IMAGE scy-mins-95.dat scy-mins-95.vmd 527 2839.44
100 15.7490442120 3.9236938448 1.3E-04 5.4E-12 IMAGE scy-mins-100.dat scy-mins-100.vmd 834 6071.72