Question

Given a $3\times3$ board, how many ways are there to tile it with $1\times1$ and $2\times1$ tiles such that rotation is allowed?

score 212 · Answer 1 · 2022-07-17 19:39:27

Given a $3\times3$ board, how many ways are there to tile it with $1\times1$ and $2\times1$ tiles such that rotation is allowed?

score 80 · Answer 2 · 2022-07-18 14:12:05

80

Views

Which tilings does one of Marjorie Rice's pentagons admit?

Published on 18 Jul 2022 - 14:12

score 60 · Answer 3 · 2026-02-25 19:08:15

60

Views

Particular values for the sum of divisors function from billiards

Published on 25 Feb 2026 - 19:08

score 239 · Answer 4 · 2026-03-28 10:04:31

239

Views

Algorithm to get the maximum size of n circles that will fit within a given rectangle with a given width and height, packed hexagonally like honeycomb

Published on 28 Mar 2026 - 10:04

score 174 · Answer 5 · 2026-02-23 08:40:12

174

Views

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

Published on 23 Feb 2026 - 8:40

score 2.8k · Answer 6 · 2022-08-14 00:35:25

2.8k

Views

Hexagons are best for tiling 2D space in terms of perimeter vs area. What's best for 3D space?

Published on 14 Aug 2022 - 0:35

score 789 · Answer 7 · 2022-08-18 17:01:30

789

Views

What does it mean for the hexagon to be efficiently packing space?

Published on 18 Aug 2022 - 17:01

score 211 · Answer 8 · 2026-02-23 08:37:22

211

Views

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

Published on 23 Feb 2026 - 8:37

score 83 · Answer 9 · 2022-09-02 14:35:16

83

Views

Classification of tiles that admit no aperiodic tiling

Published on 02 Sep 2022 - 14:35

score 58 · Answer 10 · 2026-02-23 08:36:02

58

Views

Are maximum-density fixed polyomino packings always isohedral?

Published on 23 Feb 2026 - 8:36

score 84 · Answer 11 · 2026-02-23 02:38:46

84

Views

A simple space-filler, not a plesiohedron

Published on 23 Feb 2026 - 2:38

score 836 · Answer 12 · 2022-09-20 22:45:41

836

Views

Can you cover a sphere with (roughly) squares?

Published on 20 Sep 2022 - 22:45

score 43 · Answer 13 · 2022-10-05 17:56:24

43

Views

Can a penny graph be inflated to uniformly cover a circumscribed circle?

Published on 05 Oct 2022 - 17:56

score 38 · Answer 14 · 2022-10-07 23:17:11

38

Views

Honeycombs of Minkowski Space

Published on 07 Oct 2022 - 23:17

score 75 · Answer 15 · 2026-03-26 04:16:02

75

Views

Tiling of a $2n \times 2n$ board

Published on 26 Mar 2026 - 4:16

List Question

Given a $3\times3$ board, how many ways are there to tile it with $1\times1$ and $2\times1$ tiles such that rotation is allowed?

Which tilings does one of Marjorie Rice's pentagons admit?

Particular values for the sum of divisors function from billiards

Algorithm to get the maximum size of n circles that will fit within a given rectangle with a given width and height, packed hexagonally like honeycomb

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

Hexagons are best for tiling 2D space in terms of perimeter vs area. What's best for 3D space?

What does it mean for the hexagon to be efficiently packing space?

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

Classification of tiles that admit no aperiodic tiling

Are maximum-density fixed polyomino packings always isohedral?

A simple space-filler, not a plesiohedron

Can you cover a sphere with (roughly) squares?

Can a penny graph be inflated to uniformly cover a circumscribed circle?

Honeycombs of Minkowski Space

Tiling of a $2n \times 2n$ board

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