 | 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. |
 | The Didrafter Fish. Form a compact shape with the 13 proper and extended didrafters. |
 | Scaled Polydrafter Tetrads. Join four similar polydrafters so that each borders the other three. |
 | Convex Figures with Didrafter Pairs. Make a convex polydrafter with copies of two didrafters. |
 | Convex Figures with Didrafter Triplets. Make a convex polydrafter with copies of three didrafters. |
 | Convex Shapes from the 13 Didrafters. Make a convex polydrafter with the 13 didrafters. |
 | Rectangles Tiled with Three Didrafters. Make a rectangle with copies of three didrafters. |
 | Regular Hexagons Tiled with Three Didrafters. Make a regular hexagon with copies of three didrafters. |
 | Making a Rectangle from Different Didrafters. Make a rectangle out of up to eight distinct didrafters. |
 | Didrafters at Scales 1 and 5. Arrange a double set of the 13 didrafters to form copies of a didrafter at scales 1 and 5. |
 | Inflated Didrafters. Form a convex shape with the 13 didrafters after expanding some at integer scales or scales of an integer times √3. |
 | Convex Figures with Tridrafter Pairs. Make a convex shape with copies of two tridrafters. |
 | Galaxies from the 14 Tridrafters. Join the 14 proper tridrafters to make a shape with 6-rotary symmetry. |
 | Stelo Twins and Triplets. Use Jacques Ferroul's Stelo pieces to make multiple copies of the same shape. |
 | 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. |
 | Polydom Irreptiling. Dissect a polydom into smaller copies of it, not necessarily equal. |
 | A Counterexample To
Livio Zucca's Island Conjecture.
Make a polydom islandin the shape of a polyomino that cannot be tiled with dominoes. |
 | Convex Figures with Didom Pairs. Make a convex polydom with copies of two didoms. |
 | Convex Figures with Didom Triplets. Make a convex polydom with copies of three didoms. |
 | Convex Shapes from the 13 Didoms. Make a convex polydom with the 13 didoms, including the Kite Didom. |
 | Inflated Didoms. Make a convex polydom with the 13 didoms, including the Kite Didom, enlarging some. |
 | Tiling the Owen Dodecagon With Three Didoms. Make an almost regular dodecagon with copies of the 13 didoms. |
 | Contiguous Partridge Tilings. Use 1 shape at scale 1, 2 at scale 2, and so on up to n at scale n, to form a scaled copy of the shape in which equal tiles are contiguous. |
 | 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. |
 | Lovebirds Tilings. Use 2 copies of a shape at scale 1, 4 at scale 2, and so on up to 2n at scale n, to form two scaled copies of the shape. |
 | Pentacubes in a Box. Join copies of a pentacube to make a rectangular prism. |
 | Prime Boxes for the Clip Pentakedge. Identify the irreducible boxes that can be tiled by the Clip Pentakedge. |
 | Pentacubes in a Box Without Corners. Join copies of a pentacube to make a rectangular prism with its corner cells removed. |
 | Pentacubes in a Box With Four Edges Removed. Join copies of a pentacube to make a rectangular prism from which the cells along four parallel edges have been removed. |
 | Pentacubes in a Box With All Edges Removed. Join copies of a pentacube to make a rectangular prism from which the cells along the edges have been removed. |
 | Pentacube Pair Odd Boxes. Join copies of two pentacubes, using one of each, to make a rectangular prism with odd dimensions. |
 | 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. |
| L Shapes from Pentacube Pairs. Join copies of two pentacubes to make an L-shaped prism. |
| L Shapes from the 29 Pentacubes. Join the 29 pentacubes to make an L-shaped prism. |
| Pentacube Pair Pyramids. Join copies of two polycubes to make a pyramid. |
| Filling Space with the Pansymmetric Heptacube. Use the 3D analogue of an X pentomino to fill space. |
| Tiling a Scaled Pentacube with a Pentacube. Use a pentacube to tile various pentacubes scaled up by 2 or 3. |
| Prisms with Square-Symmetric Bases from the 29 Pentacubes. Use all 29 pentacubes to form a prism whose base is a fully-symmetric 29-omino. |
| Twisted Polycube Rings. Construct a re-entrant polycube with a twist in its loop. |
| Entangled Polycubes. Make a rectangular box out of polycubes that cannot be separated. |