Question

If an animal tiles the plane via translation, can it do so in a lattice configuration?

score 114 · Answer 1 · 2026-02-23 06:40:54

114

Views

If an animal tiles the plane via translation, can it do so in a lattice configuration?

Published on 23 Feb 2026 - 6:40

score 66 · Answer 2 · 2026-03-25 23:16:36

66

Views

Can a monohedral tiling have more than $21$ corner-adjacencies at every tile?

Published on 25 Mar 2026 - 23:16

score 512 · Answer 3 · 2026-03-27 00:05:02

512

Views

How many combinatorially distinct ways are there to tile an equilateral triangle with $k$ $60^\circ-120^\circ$ trapezoids?

Published on 27 Mar 2026 - 0:05

score 643 · Answer 4 · 2026-02-23 04:36:12

643

Views

How many "prime" rectangle tilings are there?

Published on 23 Feb 2026 - 4:36

score 73 · Answer 5 · 2021-02-09 14:12:52

73

Views

Construct a set of local rules in plane such that all permitted tilings are non periodic.(there exists at least one tiling)

Published on 09 Feb 2021 - 14:12

score 2.2k · Answer 6 · 2026-02-23 06:40:54

2.2k

Views

If a subset of the square grid can be tiled by $1\times n$ rectangles for every $n$, can it be tiled by infinite rays?

Published on 23 Feb 2026 - 6:40

score 101 · Answer 7 · 2021-02-09 19:22:17

101

Views

Tiling problem : tiling square allowing space.

Published on 09 Feb 2021 - 19:22

score 600 · Answer 8 · 2021-02-12 01:37:33

600

Views

How to prove that a hexagon is the regular polygon with the most sides that can tile a plane

Published on 12 Feb 2021 - 1:37

score 157 · Answer 9 · 2021-02-17 18:05:15

157

Views

Why are there exactly eight convex polygons that can appear in a Penrose tiling?

Published on 17 Feb 2021 - 18:05

score 148 · Answer 10 · 2021-02-19 05:01:16

148

Views

Filling a Board with Tiles that can be overlapped

Published on 19 Feb 2021 - 5:01

score 116 · Answer 11 · 2021-02-20 22:36:00

116

Views

Covering a square with crosses

Published on 20 Feb 2021 - 22:36

score 150 · Answer 12 · 2021-02-25 07:49:35

150

Views

Tilings of a 5×5 square with smaller squares.

Published on 25 Feb 2021 - 7:49

score 290 · Answer 13 · 2021-03-02 00:51:32

290

Views

Smallest number of $45^\circ-60^\circ-75^\circ$ triangles that tile a rectangle

Published on 02 Mar 2021 - 0:51

score 161 · Answer 14 · 2026-03-26 08:14:19

161

Views

Assigning Tiles on a Hyperbolic Grid with Unique Coordinates

Published on 26 Mar 2026 - 8:14

score 472 · Answer 15 · 2021-03-02 20:47:55

472

Views

Can similar convex heptagons tile the plane?

Published on 02 Mar 2021 - 20:47

List Question

If an animal tiles the plane via translation, can it do so in a lattice configuration?

Can a monohedral tiling have more than $21$ corner-adjacencies at every tile?

How many combinatorially distinct ways are there to tile an equilateral triangle with $k$ $60^\circ-120^\circ$ trapezoids?

How many "prime" rectangle tilings are there?

Construct a set of local rules in plane such that all permitted tilings are non periodic.(there exists at least one tiling)

If a subset of the square grid can be tiled by $1\times n$ rectangles for every $n$, can it be tiled by infinite rays?

Tiling problem : tiling square allowing space.

How to prove that a hexagon is the regular polygon with the most sides that can tile a plane

Why are there exactly eight convex polygons that can appear in a Penrose tiling?

Filling a Board with Tiles that can be overlapped

Covering a square with crosses

Tilings of a 5×5 square with smaller squares.

Smallest number of $45^\circ-60^\circ-75^\circ$ triangles that tile a rectangle

Assigning Tiles on a Hyperbolic Grid with Unique Coordinates

Can similar convex heptagons tile the plane?

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