Automatically fill any user-defined playing area with copies of the MAX tile (see MAX game).  
 
The first 16 variants MAX-Solver are pure tiling problems. They do not require the MAX-game rule saying that only three colours are allowed and that adjacent tiles must differ in colour. In the second set of 16 variants, with the same shapes to be filled, MAX-Solver obeys this special MAX rule. In this second set you can select a special 'TURBO' mode to accelerate the search 10 times and more. However, in some cases the turbo mode may finish quickly and not find a solution at all when in fact there is one. But it is always worth trying out the turbo mode first.
 
The MAX pentiamond tile is represented here by five coloured dots. (This greatly reduces the complexity of the program; in the original MAX game the tiles where properly drawn as joined triangles.)
 
Given a shape and a set of tiles to fill it with, it is in general not known whether such a tiling problem has a solution. MAX-Solver allows you to try any given shape, and there are many discoveries still waiting to be made!
 
Select 'T0' with the right mouse button to add a dot to the board. Always choose the center of a triangle (corners are unused positions). Select 'empty' with the right mouse button to delete a position.
 
NOTE: you can speed up MAX-Solver by switching off the sound (menu option VIEW/OPTIONS/SOUND).
 
 
Due to the fact that in Zillions the number of possible moves is limited, MAX-Solver might not solve all given shapes. The larger the given shape, the more moves are necessary to find a solution.
 
Mathematically the MAX puzzle is interesting because the special 3-colour-rule uses only three colours, not the minimum of four colours that is normally required for colouring maps (compare 4-colour-theorem)!
 
Other automatic tiling games available in Zillions: Backtrack, G-Backtrack, P-Backtrack, Y-Backtrack, Pento-Solver.
 
More freeware as well as real puzzles and games at my homepage http://karl.kiwi.gen.nz.