 | Two-Pentomino Balanced Rectangles. Tile a rectangle with two pentominoes in equal quantities. |
 | Scaled Two-Pentomino Balanced Rectangles. Tile a rectangle with various sizes of two pentominoes in equal areas. |
 | Three-Pentomino Balanced Rectangles. Tile a rectangle with three pentominoes in equal quantities. |
 | Prime Rectangle Tilings for the Y Pentomino. Irreducible rectangles formed of Y pentominoes. |
| Tiling a Beveled Rectangle with Polyominoes. |
 | Yin-Yang Dominoes. Arrange 10 of the 12 pentominoes to cover a bi-colored domino. |
 | 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. |
 | Prime Rectangles for Tetrakings.. For each tetraking, find the irreducible rectangles that it can tile. |
 | Two-Hexiamond Balanced Hexagons. Tile a regular hexagon with two hexiamonds in equal quantities. |
 | Polyiamond Hexagon Tiling. Tile a straight or ragged hexagon with various polyiamonds. |
 | Hexiamond Triplets. Arrange the 12 hexiamonds to form three congruent polyiamonds. |
 | Yin-Yang Diamonds. Arrange the 12 hexiamonds to cover a bi-colored diamond. |
 | Similar Hexiamond Figures, 2–2–8. With the 12 hexiamonds, make three similar figures, one at double scale. |
 | Minimal Convex Polyiamond Tilings. With copies of a given polyiamond make the smallest convex polyiamond. |
 | Convex Polygons from Pairs of Polyiamonds. With copies of two given polyiamonds make the smallest convex polyiamond. |
 | Polyiamond Bireptiles. Join two copies of a polyiamond, then dissect the result into equal smaller copies of it. |
 | Similar Polyaboloes Tiling a Triangle. Join variously sized copies of a polyabolo to make a triangle. |
 | Similar Polyaboloes Tiling a Square. Join variously sized copies of a polyabolo to make a square. |
 | Similar Polyaboloes Tiling an Octagon. Join variously sized copies of a polyabolo to make an octagon. |
 | Similar Polyaboloes Tiling a Home Plate Hexabolo. Join variously sized copies of a polyabolo to make a home plate. |
 | Convex Polygons from Pairs of Polytans. With copies of two given polytans make the smallest convex polytan. |
 | Polytan Bireptiles. Join two copies of a polytan, then dissect the result into equal smaller copies of it. |
 | Scaled Polytan Tetrads. Join four similar polytans so that each borders the other three. |
 | Similar Pentatan Figures 2–2√2–3√2. Arrange the 30 pentatans to make three copies of the same pentatan at scales 2, 2√2, and 3√2. |
 | Polydrafter Irreptiling. Tile a polydrafter with smaller copies of itself, not necessarily equal. |
 | Polydrafter Bireptiles. Join two copies of a polydrafter, then dissect the result into equal smaller copies of it. |
 | Kiteless Didoms. Form shapes with the set of 12 didoms, omitting the kite didom. |
 | Scaled Polydom Tetrads. Join four similar polydoms so that each borders the other three. |
 | Contiguous Reverse Partridge Tilings. Use 1 shape at scale n, 2 at scale n−1, and so on up to n at scale 1, to form a scaled copy of the shape in which equal tiles are contiguous. |
 | Pentacubes in a Box. Join copies of a pentacube to make a rectangular prism. |
 | Pentacubes in a Box Without Corners. Join copies of a pentacube to make a rectangular prism with its corner cells removed. |
 | Polycube Reptiles. Join copies of a polycube to make a larger copy of itself. |
 | Polycube Bireptiles. Join two copies of a polycube, then dissect the result into equal smaller copies of it. |
 | Proper Minimal Polycube Irreptiles. Join variously sized copies of a polycube to make a larger copy of itself, using fewer copies than would be needed if they were all the same size. |
 | 33 + 43 + 53 = 63. Dissect a cube of side 6 to make cubes of sides 3, 4, and 5. |
 | Tiling a Solid Diamond Polycube With Right Tricubes. Dissect an octahedron-shaped polycube into L-shaped tricubes. |
| Symmetric Pentacube Triples. Join three different pentacubes to form a symmetric polycube. |
| Polycube Prisms. Join copies of a polycube to make a prism. |
| Pentacube Pair Pyramids. Join copies of two polycubes to make a pyramid. |