Question

Can the $X$ pentomino and the $2\times 2$ square mutually tile any nontrivial cofinite region?

score 155 · Answer 1 · 2021-06-05 18:39:05

155

Views

Can the $X$ pentomino and the $2\times 2$ square mutually tile any nontrivial cofinite region?

Published on 05 Jun 2021 - 18:39

score 127 · Answer 2 · 2021-06-06 21:06:30

127

Views

What is the minimum size of a region that can be tiled by every polyomino on up to $4$ cells?

Published on 06 Jun 2021 - 21:06

score 63 · Answer 3 · 2021-11-08 19:36:54

63

Views

Are there polyominoes which tile half-plane but tile no strip with any width?

Published on 08 Nov 2021 - 19:36

score 276 · Answer 4 · 2021-12-14 01:57:34

276

Views

Determine whether a polyomino has a hole

Published on 14 Dec 2021 - 1:57

score 59 · Answer 5 · 2022-01-07 00:25:00

59

Views

Finding the largest polyominoes that can fit in a rectangular space

Published on 07 Jan 2022 - 0:25

score 259 · Answer 6 · 2022-01-13 12:26:24

259

Views

How to find winning Strategy for 4 celled animals of Harary's generalized tic tac toe

Published on 13 Jan 2022 - 12:26

score 425 · Answer 7 · 2026-02-23 06:22:51

425

Views

Can the following figures be divided into 6 equal parts?

Published on 23 Feb 2026 - 6:22

score 96 · Answer 8 · 2026-02-23 06:24:19

96

Views

Can a scaled $L$-tromino be cut into two congruent polyominoes?

Published on 23 Feb 2026 - 6:24

score 173 · Answer 9 · 2022-07-31 06:54:45

173

Views

Finding all 15-ominoes that tile the plane and have distinct internal adjacencies

Published on 31 Jul 2022 - 6:54

score 215 · Answer 10 · 2022-08-22 00:16:39

215

Views

Is there a polyhedron all of whose faces are distinct polyominoes?

Published on 22 Aug 2022 - 0:16

score 109 · Answer 11 · 2022-08-28 16:57:00

Prove that any polyomino of size n > 1 and perimeter p can be built by adding 1 square to some other polyomino of size n-1 and perimeter p or p-2.

score 210 · Answer 12 · 2022-08-28 18:53:23

210

Views

Does the $Z$ pentomino tile a 3D box?

Published on 28 Aug 2022 - 18:53

score 57 · Answer 13 · 2022-09-08 15:53:10

57

Views

Are maximum-density fixed polyomino packings always isohedral?

Published on 08 Sep 2022 - 15:53

score 466 · Answer 14 · 2022-10-15 08:02:57

466

Views

Which rectangles can be tiled with L-trominos, when only two orientations are allowed?

Published on 15 Oct 2022 - 8:02

score 256 · Answer 15 · 2022-10-27 04:44:14

256

Views

Tiling of a grid using triominoes

Published on 27 Oct 2022 - 4:44

List Question

Can the $X$ pentomino and the $2\times 2$ square mutually tile any nontrivial cofinite region?

What is the minimum size of a region that can be tiled by every polyomino on up to $4$ cells?

Are there polyominoes which tile half-plane but tile no strip with any width?

Determine whether a polyomino has a hole

Finding the largest polyominoes that can fit in a rectangular space

How to find winning Strategy for 4 celled animals of Harary's generalized tic tac toe

Can the following figures be divided into 6 equal parts?

Can a scaled $L$-tromino be cut into two congruent polyominoes?

Finding all 15-ominoes that tile the plane and have distinct internal adjacencies

Is there a polyhedron all of whose faces are distinct polyominoes?

Prove that any polyomino of size n > 1 and perimeter p can be built by adding 1 square to some other polyomino of size n-1 and perimeter p or p-2.

Does the $Z$ pentomino tile a 3D box?

Are maximum-density fixed polyomino packings always isohedral?

Which rectangles can be tiled with L-trominos, when only two orientations are allowed?

Tiling of a grid using triominoes

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