Mines to squares ratio
from Simon Tatham’s Portable Puzzle Collection
See Mines. You can experiment with these ratios for creating custom sized games.
“Easy” levels
| Width |
Height |
Mines |
Ratio |
| 9 |
9 |
10 |
0.12345679 |
| 16 |
16 |
40 |
0.15625 |
| 30 |
16 |
99 |
0.20625 |
| Average |
0.161985597 |
Possible model from straight linear regression: M = 0.224902292 × W × H − 11.58172432
“Hard” levels
| Width |
Height |
Mines |
Ratio |
| 9 |
9 |
35 |
0.432098765 |
| 16 |
16 |
99 |
0.38671875 |
| 30 |
16 |
170 |
0.354166667 |
| Average |
0.390994727 |
Possible model from straight linear regression: M = 9.45677536 + 0.337368022 × W × H
Applied average ratios
|
Mines |
| Width |
Height |
Easy |
Hard |
| 25 |
25 |
101 |
244 |
| 50 |
50 |
405 |
977 |
Applied linear regression models
|
Mines |
| Width |
Height |
Easy |
Hard |
| 25 |
25 |
129 |
220 |
| 50 |
50 |
551 |
853 |