 # Polyomino and Polyking Tiling

## Tiling Rectangles Polyomino Rectification with Holes. Tile a rectangle with a given polyomino, allowing isolated one-cell holes. Two-Pentomino Balanced Rectangles. Tile a rectangle with two pentominoes in equal quantities. Two-Pentomino Holey Balanced Rectangles. Tile a rectangle with two pentominoes in equal quantities, allowing one-cell holes. Scaled Two-Pentomino Rectangles. Tile a rectangle with two pentominoes at various sizes. Scaled Two-Pentomino Balanced Rectangles. Tile a rectangle with various sizes of two pentominoes in equal areas. Three-Pentomino Rectangles. Tile a rectangle with copies of three pentominoes. Scaled Three-Pentomino Rectangles. Tile a rectangle with three pentominoes at various sizes. Three-Pentomino Balanced Rectangles. Tile a rectangle with three pentominoes in equal quantities. Three-Pentomino Holey Balanced Rectangles. Tile a rectangle with three pentominoes in equal quantities, allowing one-cell holes. Scaled Three-Pentomino Balanced Rectangles. Tile a rectangle with various sizes of three pentominoes in equal areas. Separated Pentominoes Tiling a Rectangle. Tile the largest possible rectangle with copies of three or four pentominoes, with no two copies of the same pentomino touching. Prime Rectangle Tilings for the Y Pentomino. Irreducible rectangles formed of Y pentominoes. Yin-Yang Dominoes. Arrange 10 of the 12 pentominoes to cover a bi-colored domino. Hexomino Pair Rectangles. Arrange copies of two hexominoes to form a rectangle. Scaled Hexomino Pair Rectangles. Arrange copies of two hexominoes at various scales to form a rectangle. Prime Rectangles for Tetrakings.. For each tetraking, find the irreducible rectangles that it can tile.

## Tiling L-Shaped Polyominoes Tiling an L Shape with a Polyomino. Tile an L-shaped polyomino with copies of a given polyomino. Tiling an L Shape with the 12 Pentominoes. Tile various L-shaped polyominoes with the 12 pentominoes. Tiling an L Shape with a Tetromino and a Pentomino. Tile an L-shaped polyomino with copies of a given tetromino and pentomino. L Shapes From Two Pentominoes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, using at least one of each. Holey L Shapes From Two Pentominoes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, using at least one of each, and allowing one-celled holes that do not touch the perimeter or one another. Scaled Two-Pentomino L Shapes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, letting them be enlarged, using at least one of each. L Shapes From Two Hexominoes. Form an L-shaped (hexagonal) polyomino with copies of two hexominoes, using at least one of each. Tiling an L Shape with Three Pentominoes. Tile an L-shaped polyomino with copies of three given pentominoes. Scaled Three-Pentomino L Shapes. Tile an L-shaped polyomino with copies of three given pentominoes at various sizes.

## Other Tilings and Coverings

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Col. George Sicherman [ HOME | MAIL ]