Go First Dice Wiki

User Tools

Site Tools

Trace: • participants • homogeneous_solutions
homogeneous_solutions

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision 		Previous revision
homogeneous_solutions [2023/03/24 00:38]
harshec 		homogeneous_solutions [2026/02/10 18:09] (current)
harshec
Line 1: Line 1:
 ====Solution Counts For Homogeneous Sets==== ====Solution Counts For Homogeneous Sets====
 These counts avoid equivalent sets where the dice are simply relabeled. In other words, these counts assume that in the string representation of a solution the first “a” appears before the first “b” which appears before the first “c”, and so on. These counts avoid equivalent sets where the dice are simply relabeled. In other words, these counts assume that in the string representation of a solution the first “a” appears before the first “b” which appears before the first “c”, and so on.
 +
 +Most of these numbers were calculated by Landon Kryger and Brandon Enright. Exceptions to this are noted in the footnotes.
  
 ===Legend=== ===Legend===
Line 25: Line 27:
 |  18  | 24310 / 24310 / 24310  | 6521 / 767975 / 37978905250  | 1278 / 84588 / 893864677761053000  | x  | x  | |  18  | 24310 / 24310 / 24310  | 6521 / 767975 / 37978905250  | 1278 / 84588 / 893864677761053000  | x  | x  |
 |  24  | 1352078 / 1352078 / 1352078  | ? / 3163085576 / 564121960420200  | ? / ? / 9.82538756092255E+24  | x  | x  | |  24  | 1352078 / 1352078 / 1352078  | ? / 3163085576 / 564121960420200  | ? / ? / 9.82538756092255E+24  | x  | x  |
-|  30  | 77558760 / 77558760 / 77558760  | ? / ? / 8915829964229030000  | ? / ? / 1.1856736358608E+32 | ? / ? / 5.40670186413478E+46  | ? / ? / 4.12672592988253E+62  |+|  30  | 77558760 / 77558760 / 77558760  | ? / 15050285682919 / 8915829964229030000  | ? / ? / 1.1856736358608E+32 | ? / ? / 5.40670186413478E+46  | ? / ? / 4.12672592988253E+62  |
 |  60  | 59132290782429200 / 59132290782429200 / 59132290782429200  | ? / ? / 1.32679649279208E+40  | ? / ? / 5.63043962364763E+67  | ? / ? / 3.62586633628878E+98  | ? / ? / 8.010847767853E+131  | |  60  | 59132290782429200 / 59132290782429200 / 59132290782429200  | ? / ? / 1.32679649279208E+40  | ? / ? / 5.63043962364763E+67  | ? / ? / 3.62586633628878E+98  | ? / ? / 8.010847767853E+131  |
  
Line 33: Line 35:
 |  12  | 462 / 462 / 2048  | 317 / 11572 / 362797056  | 10 / 128 / 1521681143169020  | x  | x  | |  12  | 462 / 462 / 2048  | 317 / 11572 / 362797056  | 10 / 128 / 1521681143169020  | x  | x  |
 |  18  | 24310 / 24310 / 131072  | 18889 / 74646644 / 16926659444736  | 105 / 3828 / 2.90797794982684E+23  | x  | x  | |  18  | 24310 / 24310 / 131072  | 18889 / 74646644 / 16926659444736  | 105 / 3828 / 2.90797794982684E+23  | x  | x  |
-|  24  | 1352078 / 1352078 / 8388608  | ? / ? / 789730223053611000  | ? / ? / 5.55723240354287E+31  | x  | x  |+|  24  | 1352078 / 1352078 / 8388608  | ? / 1382404516 [1] / 789730223053611000  | ? / ? / 5.55723240354287E+31  | x  | x  |
 |  30  | 77558760 / 77558760 / 536870912  | ? / ? / 3.68456532867889E+22  | ? / ? / 1.06200365064067E+40  | ? / ? / 1.9781359483314E+60  | ? / ? / 7.28857113063509E+82  | |  30  | 77558760 / 77558760 / 536870912  | ? / ? / 3.68456532867889E+22  | ? / ? / 1.06200365064067E+40  | ? / ? / 1.9781359483314E+60  | ? / ? / 7.28857113063509E+82  |
 |  60  | ? / ? / 576460752303421000  | ? / ? / 8.14561299678166E+45  | ? / ? / 2.70684420953785E+81  | ? / ? / 4.6956261960971E+122  | ? / ? / 3.8248753770958E+168  | |  60  | ? / ? / 576460752303421000  | ? / ? / 8.14561299678166E+45  | ? / ? / 2.70684420953785E+81  | ? / ? / 4.6956261960971E+122  | ? / ? / 3.8248753770958E+168  |
Line 63: Line 65:
 |  30  | 128 / 128 / 128  | ? / 0 / 279936  | ? / 0 / 4586471424  | ? / 0 / 358318080000000  | ? / 0 / 1.0030613004288E+20  | |  30  | 128 / 128 / 128  | ? / 0 / 279936  | ? / 0 / 4586471424  | ? / 0 / 358318080000000  | ? / 0 / 1.0030613004288E+20  |
 |  60  | 16384 / 16384 / 16384  | ? / 4132896768 / 78364164096  | ? / ? / 21035720123168500000  | ? / ? / 1.28391846454886E+29  | ? / ? / 1.00613197241791E+40  | |  60  | 16384 / 16384 / 16384  | ? / 4132896768 / 78364164096  | ? / ? / 21035720123168500000  | ? / ? / 1.28391846454886E+29  | ? / ? / 1.00613197241791E+40  |
 +
 +[1] found by Kayla Toll
homogeneous_solutions.1679618308.txt.gz · Last modified: 2023/03/24 00:38 by harshec

Page Tools

Donate Powered by PHP Valid HTML5 Valid CSS Driven by DokuWiki