Polyform Exclusion, Equalization, and Variegation

    No room! No room! they cried out when they saw Alice coming.
—Lewis Carroll, Alice's Adventures in Wonderland

The exclusion problem is to remove as few cells as possible from a given figure or the plane so as to exclude a given polyform.

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.

Back to Polyform Curiosities.
Col. George Sicherman [ HOME | MAIL ]