The MAX Puzzle was invented by the author of this Demonstration in 1987 and implemented as a Zillions game in November 2000.
The task is to fill shapes with congruent copies of the MAX tile shown at the top right corner. The author has collected more than 200 interesting shapes that can be tiled with MAX tiles, of which only a small selection are presented here.
Using the six-pointed star (challenge 2) as a playing board, he also developed a 2-player game. The rules are:
Each player uses only one color. You win if you either connect two tips of the star or, if no player manages to connect tips, create the longest "fence" consisting of connected tiles of your color.
The Challenge selection shows you various shapes to fill. Challenge 8 is an empty board for free play.
You draw a tile by a stamping method: Move the sample tile with the locator (which initially is positioned at the top right corner) to the desired position on the board. Click one of the three color buttons to select its color. Use the "rotations and reflections" slider to select the orientation of the tile. Now click the "store new tile" button. The new tile will be displayed from now on. You can now use the locator-tile to stamp the next tile.
Using the "show stored polygons" slider and the "delete last shown" button, you can delete any stored polygon at any time.