# 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

 Pentomino Pairs Tiling a Rectangle with One Corner Cell Removed. Hexomino Pairs Tiling a Rectangle with Two Opposite Corner Cells Removed. Hexomino Pairs Tiling a Rectangle with Two Neighboring Corner Cells Removed. Pentomino Pairs Tiling a Rectangle with Three Corner Cells Removed. Pentomino Pairs Tiling a Rectangle with the Four Corner Cells Removed. Scaled Pentomino Pairs Tiling a Rectangle with the Four Corner Cells Removed. Scaled Pentomino Triples Tiling a Rectangle with the Four Corner Cells Removed. Hexomino Pairs Tiling a Rectangle with One Corner Cell Removed. Hexomino Pairs Tiling a Rectangle with Two Opposite Corner Cells Removed. Hexomino Pairs Tiling a Rectangle with Two Neighboring Corner Cells Removed. Hexomino Pairs Tiling a Rectangle with Three Corner Cells Removed. Hexomino Pairs Tiling a Rectangle with the Four Corner Cells Removed. Two-Pentomino Square Frames. Three-Pentomino Square Frames. Tiling Right Trapezoidal Polyominoes with Two Pentominoes. Tiling Right Trapezoidal Polyominoes with Three Pentominoes. Tiling a Blunt Pyramid with Two Polyominoes. Full Symmetry from the Twelve Pentominoes. Tiling a Beveled Rectangle with Polyominoes. Tiling Strips with Polyominoes. Tiling straight, bent, branched, and crossed infinite strips with polyominoes of orders 1 through 6. Uniform Polyomino Stacks. Join copies of a polyomino to make a figure with uniform row width. Perfect Polyominoes. Polyominoes that can be formed by joining all the smaller polyominoes that can tile them. Polyomino Bireptiles. Join two copies of a polyomino, then dissect the result into equal smaller copies of it. Covering a Rectangle with Copies of a Polyomino. Find the largest rectangles that copies of a polyomino can cover without overlapping. A Pentomino Christmas Card. Pentomino art with an unexpected aftermath.

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Col. George Sicherman [ HOME | MAIL ]