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.
	Globular 3-4-5 Pentomino Dissections. Dissect a pentomino at scale 5 into two copies of the pentomino at scales 3 and 4, with the pentomino at scale 4 unbroken.
	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.