Question

Does every 5-celled animal tile the plane?

score 338 · Answer 1 · 2020-12-20 00:27:56

338

Views

Does every 5-celled animal tile the plane?

Published on 20 Dec 2020 - 0:27

score 206 · Answer 2 · 2020-12-25 06:22:21

206

Views

Does a tiling being monohedral and monogonal imply that it is isohedral or isogonal?

Published on 25 Dec 2020 - 6:22

score 81 · Answer 3 · 2021-01-02 08:20:16

81

Views

Tesselation beeing used in a game board

Published on 02 Jan 2021 - 8:20

score 38 · Answer 4 · 2021-01-12 05:47:17

38

Views

Which tessellating 4-polytope has the largest symmetry group?

Published on 12 Jan 2021 - 5:47

score 114 · Answer 5 · 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 33 · Answer 6 · 2021-01-28 21:10:48

33

Views

How to find a tessellation from a basis of linear transformations?

Published on 28 Jan 2021 - 21:10

score 65 · Answer 7 · 2021-01-29 14:51:52

65

Views

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

Published on 29 Jan 2021 - 14:51

score 33 · Answer 8 · 2021-02-10 23:32:06

33

Views

Edge relation between Archimedean tessellations

Published on 10 Feb 2021 - 23:32

score 21 · Answer 9 · 2021-02-20 14:50:10

21

Views

Can any 2D tessellation be uniquely determined by for each n the number of cycles of length n containing any given vertex?

Published on 20 Feb 2021 - 14:50

score 685 · Answer 10 · 2026-02-23 04:41:37

685

Views

Dissection of equilateral triangle into square with flipping pieces - variation of Henry Dudeney's problem

Published on 23 Feb 2026 - 4:41

score 32 · Answer 11 · 2026-03-25 15:46:13

32

Views

Proof that higher-order Voronoi diagrams subdivide space

Published on 25 Mar 2026 - 15:46

score 118 · Answer 12 · 2021-04-04 13:41:13

118

Views

What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it?

Published on 04 Apr 2021 - 13:41

score 246 · Answer 13 · 2026-02-23 06:40:50

246

Views

Octahedron to tetrahedron ratio in generalized polyominoes in the tetrahedral-octahedral honeycomb

Published on 23 Feb 2026 - 6:40

score 151 · Answer 14 · 2021-05-08 07:43:17

151

Views

Are there tessellations of the plane with curved $C^1$ shapes?

Published on 08 May 2021 - 7:43

score 325 · Answer 15 · 2026-02-23 06:35:01

325

Views

Smallest non-space-filling polycube?

Published on 23 Feb 2026 - 6:35

List Question

Does every 5-celled animal tile the plane?

Does a tiling being monohedral and monogonal imply that it is isohedral or isogonal?

Tesselation beeing used in a game board

Which tessellating 4-polytope has the largest symmetry group?

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

How to find a tessellation from a basis of linear transformations?

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

Edge relation between Archimedean tessellations

Can any 2D tessellation be uniquely determined by for each n the number of cycles of length n containing any given vertex?

Dissection of equilateral triangle into square with flipping pieces - variation of Henry Dudeney's problem

Proof that higher-order Voronoi diagrams subdivide space

What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it?

Octahedron to tetrahedron ratio in generalized polyominoes in the tetrahedral-octahedral honeycomb

Are there tessellations of the plane with curved $C^1$ shapes?

Smallest non-space-filling polycube?

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