Packing of unitary-radius circles in an equilateral triangle
Number of items | Side | Item-item Overlap |
Item-object Overlap |
Solution | Files | Number of trials | CPU time in seconds | |
1 | 3.4641016146 | 0.0E+00 | 1.5E-09 | IMAGE | ct-mina-1.dat | ct-mina-1.mp | 1 | 0.00 |
2 | 5.4633621099 | 7.4E-04 | 0.0E+00 | IMAGE | ct-mina-2.dat | ct-mina-2.mp | 1 | 0.00 |
3 | 5.4636533311 | 4.5E-04 | 1.8E-15 | IMAGE | ct-mina-3.dat | ct-mina-3.mp | 1 | 0.00 |
4 | 6.9274637829 | 4.3E-04 | 6.2E-15 | IMAGE | ct-mina-4.dat | ct-mina-4.mp | 1 | 0.00 |
5 | 7.4634468126 | 3.9E-04 | 9.8E-14 | IMAGE | ct-mina-5.dat | ct-mina-5.mp | 4 | 0.02 |
6 | 7.4636709802 | 2.2E-04 | 2.7E-15 | IMAGE | ct-mina-6.dat | ct-mina-6.mp | 1 | 0.01 |
7 | 8.9273837492 | 4.1E-04 | 1.9E-12 | IMAGE | ct-mina-7.dat | ct-mina-7.mp | 29 | 0.12 |
8 | 9.2930737754 | 3.2E-04 | 3.7E-12 | IMAGE | ct-mina-8.dat | ct-mina-8.mp | 1 | 0.00 |
9 | 9.4634763151 | 2.7E-04 | 1.1E-13 | IMAGE | ct-mina-9.dat | ct-mina-9.mp | 32 | 0.14 |
10 | 9.4636358192 | 1.6E-04 | 1.7E-14 | IMAGE | ct-mina-10.dat | ct-mina-10.mp | 1 | 0.01 |
11 | 10.7276943421 | 8.3E-04 | 7.1E-11 | IMAGE | ct-mina-11.dat | ct-mina-11.mp | 6 | 0.05 |
12 | 10.9264246875 | 6.2E-04 | 1.8E-15 | IMAGE | ct-mina-12.dat | ct-mina-12.mp | 16 | 0.10 |
13 | 11.4044366767 | 7.7E-04 | 4.5E-10 | IMAGE | ct-mina-13.dat | ct-mina-13.mp | 16 | 0.12 |
14 | 11.4625024049 | 5.6E-04 | 4.7E-12 | IMAGE | ct-mina-14.dat | ct-mina-14.mp | 22 | 0.13 |
15 | 11.4627797055 | 3.3E-04 | 4.5E-14 | IMAGE | ct-mina-15.dat | ct-mina-15.mp | 1 | 0.01 |
16 | 12.7110751779 | 7.5E-04 | 4.1E-10 | IMAGE | ct-mina-16.dat | ct-mina-16.mp | 26 | 0.28 |
17 | 12.9261773819 | 6.1E-04 | 3.7E-11 | IMAGE | ct-mina-17.dat | ct-mina-17.mp | 24 | 0.29 |
18 | 13.2910260295 | 7.4E-04 | 9.1E-10 | IMAGE | ct-mina-18.dat | ct-mina-18.mp | 3 | 0.06 |
19 | 13.4456687039 | 7.9E-04 | 1.2E-09 | IMAGE | ct-mina-19.dat | ct-mina-19.mp | 114485 | 2825.27 |
20 | 13.4625490829 | 4.6E-04 | 6.4E-12 | IMAGE | ct-mina-20.dat | ct-mina-20.mp | 2 | 0.02 |
21 | 13.4627429100 | 2.7E-04 | 4.2E-14 | IMAGE | ct-mina-21.dat | ct-mina-21.mp | 1 | 0.01 |
22 | 14.6101271902 | 6.8E-04 | 1.1E-10 | IMAGE | ct-mina-22.dat | ct-mina-22.mp | 13 | 0.25 |
23 | 14.8805620808 | 5.6E-04 | 2.3E-10 | IMAGE | ct-mina-23.dat | ct-mina-23.mp | 77 | 1.94 |
24 | 14.9264967836 | 4.2E-04 | 1.8E-12 | IMAGE | ct-mina-24.dat | ct-mina-24.mp | 35 | 1.02 |
25 | 15.2915870167 | 5.7E-04 | 5.4E-09 | IMAGE | ct-mina-25.dat | ct-mina-25.mp | 23411 | 1282.19 |
26 | 15.4568486004 | 4.7E-04 | 2.1E-10 | IMAGE | ct-mina-26.dat | ct-mina-26.mp | 686 | 33.05 |
27 | 15.4625744338 | 3.8E-04 | 1.2E-11 | IMAGE | ct-mina-27.dat | ct-mina-27.mp | 2 | 0.02 |
28 | 15.4627172406 | 2.3E-04 | 2.3E-12 | IMAGE | ct-mina-28.dat | ct-mina-28.mp | 2 | 0.06 |
29 | 16.6030248601 | 6.4E-04 | 2.4E-10 | IMAGE | ct-mina-29.dat | ct-mina-29.mp | 145 | 5.18 |
30 | 16.7281252215 | 4.8E-04 | 7.3E-11 | IMAGE | ct-mina-30.dat | ct-mina-30.mp | 20 | 0.83 |
31 | 16.9263595271 | 4.4E-04 | 1.9E-11 | IMAGE | ct-mina-31.dat | ct-mina-31.mp | 7 | 0.44 |
32 | 17.2453120324 | 6.9E-04 | 6.1E-10 | IMAGE | ct-mina-32.dat | ct-mina-32.mp | 67 | 7.10 |
33 | 17.4039294262 | 7.4E-04 | 2.9E-09 | IMAGE | ct-mina-33.dat | ct-mina-33.mp | 888 | 118.84 |
34 | 17.4587344689 | 1.0E-03 | 1.8E-07 | IMAGE | ct-mina-34.dat | ct-mina-34.mp | 7591 | 638.61 |
35 | 17.4625898173 | 3.3E-04 | 0.0E+00 | IMAGE | ct-mina-35.dat | ct-mina-35.mp | 2 | 0.06 |
36 | 17.4626981458 | 2.0E-04 | 2.5E-11 | IMAGE | ct-mina-36.dat | ct-mina-36.mp | 1 | 0.04 |
37 | 18.5287831373 | 6.1E-04 | 8.8E-11 | IMAGE | ct-mina-37.dat | ct-mina-37.mp | 10 | 0.60 |
38 | 18.7266870206 | 7.1E-04 | 8.9E-09 | IMAGE | ct-mina-38.dat | ct-mina-38.mp | 1507 | 124.14 |
39 | 18.9140027395 | 4.7E-04 | 1.1E-09 | IMAGE | ct-mina-39.dat | ct-mina-39.mp | 21278 | 2419.02 |
40 | 18.9265358552 | 3.2E-04 | 9.5E-13 | IMAGE | ct-mina-40.dat | ct-mina-40.mp | 25 | 3.72 |
41 | 19.2916298956 | 4.8E-04 | 1.5E-09 | IMAGE | ct-mina-41.dat | ct-mina-41.mp | 43 | 11.67 |
42 | 19.4045801371 | 4.3E-04 | 8.4E-11 | IMAGE | ct-mina-42.dat | ct-mina-42.mp | 15 | 4.06 |
43 | 19.4596912793 | 6.8E-04 | 2.6E-07 | IMAGE | ct-mina-43.dat | ct-mina-43.mp | 79 | 5.93 |
44 | 19.4625983940 | 2.9E-04 | 2.5E-12 | IMAGE | ct-mina-44.dat | ct-mina-44.mp | 1 | 0.06 |
45 | 19.4626504950 | 1.8E-04 | 6.5E-13 | IMAGE | ct-mina-45.dat | ct-mina-45.mp | 40528 | 3114.56 |
46 | 20.5249300923 | 5.8E-04 | 2.4E-10 | IMAGE | ct-mina-46.dat | ct-mina-46.mp | 1525 | 165.07 |
47 | 20.7011666871 | 4.4E-04 | 2.7E-10 | IMAGE | ct-mina-47.dat | ct-mina-47.mp | 225 | 29.91 |
48 | 20.8799581334 | 5.2E-04 | 5.0E-10 | IMAGE | ct-mina-48.dat | ct-mina-48.mp | 9504 | 1806.31 |
49 | 20.9264402987 | 3.4E-04 | 2.1E-11 | IMAGE | ct-mina-49.dat | ct-mina-49.mp | 75 | 20.27 |
50 | 21.2440452148 | 6.5E-04 | 8.6E-10 | IMAGE | ct-mina-50.dat | ct-mina-50.mp | 809 | 303.04 |
55 | 21.4622516388 | 2.1E-04 | 1.1E-09 | IMAGE | ct-mina-55.dat | ct-mina-55.mp | 16521 | 2014.60 |
60 | 22.9265606115 | 2.6E-04 | 3.8E-12 | IMAGE | ct-mina-60.dat | ct-mina-60.mp | 501 | 286.81 |
65 | 23.4622014647 | 3.4E-04 | 1.8E-09 | IMAGE | ct-mina-65.dat | ct-mina-65.mp | 13604 | 1976.18 |
70 | 24.8807696211 | 3.1E-04 | 8.0E-11 | IMAGE | ct-mina-70.dat | ct-mina-70.mp | 17750 | 10642.19 |
75 | 25.4558282921 | 7.5E-04 | 6.6E-09 | IMAGE | ct-mina-75.dat | ct-mina-75.mp | 2849 | 1784.28 |
80 | 26.5919337671 | 3.7E-04 | 5.8E-11 | IMAGE | ct-mina-80.dat | ct-mina-80.mp | 20158 | 11138.73 |
85 | 27.2455664377 | 3.8E-04 | 1.9E-10 | IMAGE | ct-mina-85.dat | ct-mina-85.mp | 657 | 1346.82 |
90 | 27.4621886433 | 3.3E-04 | 4.5E-10 | IMAGE | ct-mina-90.dat | ct-mina-90.mp | 8851 | 3083.21 |
95 | 28.7283473468 | 2.6E-04 | 4.6E-11 | IMAGE | ct-mina-95.dat | ct-mina-95.mp | 70 | 82.26 |
100 | 29.3893128146 | 6.0E-04 | 4.8E-09 | IMAGE | ct-mina-100.dat | ct-mina-100.mp | 1475 | 4043.15 |