No room! No room!they cried out when they saw Alice coming.
The exclusion problem is to remove as few cells as possible from a given region of the plane so as to exclude a given polyform. Equalization problems involve equalizing the distribution of cells within a region. The variegation problem is to color the cells of the plane with as few colors as possible so that a given polyform, no matter where it lies in the plane, has cells of all different colors.
|Hexomino Exclusion. Exclude a hexomino from a checkerboard.|
|Polyking Exclusion. Exclude a polyking from a checkerboard.|
|Polyiamond Exclusion. Exclude a polyiamond from the plane.|
|Polyhex Exclusion. Exclude a polyhex from the plane.|
|Polycairo Exclusion. Exclude a polycairo from the plane.|
|Polyabolo Magic Squares. Arrange copies of a polyabolo in a square grid to place the same number of cells in each row and column.|
|Polyiamond Variegation. Color the cells of the polyiamond plane so no copy of a polyiamond has duplicate colors.|
|Polyhex Variegation. Color the cells of the polyhex plane so no copy of a polyhex has duplicate colors.|