Polyomino and Polyking Tiling:
Rectangles and Modified Rectangles

Rectangles

Pentomino Pair Odd Rectangles. Use copies of two pentominoes to tile a rectangle with odd area.
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.
Tiling a Rectangle with a Pentomino and Isolated Trominoes. Tile a rectangle with copies of a pentomino and at least one tromino, not letting the trominoes touch.
Tiling a Rectangle with a Hexomino and Isolated Trominoes. Tile a rectangle with copies of a hexomino and at least one tromino, not letting the trominoes touch.
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.
Isolated Pentomino Pair Rectangles. Tile a rectangle with two pentominoes, isolating copies of one of them.
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.
Tiling a Rectangle with a Hexomino and Isolated Monominoes. Tile the smallest possible rectangle with copies of a hexomino and the monomino, with no two monominoes touching.
Scaled Hexomino Pair Rectangles. Arrange copies of two hexominoes at various scales to form a rectangle.
Hexomino Pair Rectangles with Monomino Holes. Arrange copies of two hexominoes to form a rectangle that may have isolated one-cell holes.
Hexomino Pair Rectangles with Domino Holes. Arrange copies of two hexominoes to form a rectangle that may have isolated two-cell holes.
Hexomino Pair Rectangles with Monomino and Domino Holes. Arrange copies of two hexominoes to form a rectangle that may have isolated one-cell and two-cell holes.
Prime Rectangles for Tetrakings.. For each tetraking, find the irreducible rectangles that it can tile.

Modified Rectangles

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.

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Col. George Sicherman [ HOME | MAIL ]