Pentahex Pair Frame Tilings. Tile a regular hexagonal frame with a pair of pentahexes. | |
Polyhex Ragged Frame Tilings. Tile a ragged regular hexagonal frame with a polyhex. |
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. | |
Didom Kites and Bricks. Livio Zucca's problem of tiling a rectangle with didom kites and dominoes. | |
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. |