User RavenclawPrefect

22 votes

Accepted

Can you see through a cannonball packing?

answered Nov 30 at 2:34

21 votes

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A hat puzzle question—how to prove the standard solution is optimal?

answered Jul 23 at 23:09

12 votes

Tiling the plane with pairwise non-congruent rational triangles

answered Apr 27, 2023 at 11:41

9 votes

How can one construct a four-coloring of a tiling of the plane with Smith, Myers, Kaplan, and Goodman-Strauss's aperiodic monotile?

answered Mar 25, 2023 at 3:46

9 votes

Not especially famous, long-open problems which anyone can understand

answered Oct 21, 2022 at 8:54

8 votes

Tiling with ten-fold symmetry and (unoriented) Penrose tiles?

answered Dec 19, 2022 at 1:44

8 votes

Finite set of non-collinear points on plane with every point having ≥ 3 equidistant neighbors?

answered Aug 4, 2022 at 16:43

8 votes

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Distribution over Penrose Tilings?

answered May 20, 2021 at 18:30

7 votes

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Are there any convex pentagonal rep-tiles?

answered Jul 7, 2021 at 20:57

7 votes

Triangles that can be cut into mutually congruent and non-convex polygons

answered Jun 18, 2022 at 2:52

7 votes

Intersecting cylinders around a sphere

answered Sep 16, 2022 at 18:38

7 votes

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What is the state of progress on this problem about continuous functions from spheres to Euclidean space?

answered Oct 30, 2023 at 1:32

7 votes

Is it possible for the dihedral angles of a polyhedron to all grow simultaneously?

answered Mar 5 at 15:39

5 votes

Solution to Erdos-Ulam problem

answered Oct 28 at 15:46

5 votes

Have you solved problems in your sleep?

answered Dec 25, 2022 at 6:24

5 votes

Tiling planar integer lattice by finite point sets

answered Oct 25, 2022 at 19:10

5 votes

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Family of shapes that can be tiled into one another

answered Mar 12, 2022 at 23:24

5 votes

Which convex pentagon gives least packing density?

answered Jul 23, 2021 at 3:25

5 votes

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Does there exist a scale invariant random packing of circles in the plane?

answered Jan 22, 2021 at 17:56

3 votes

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Construct by compactness (Pentagonal tiling – Rao paper)

answered Jul 14, 2021 at 1:16

3 votes

On packing axisymmetric bodies in 3D

answered Jul 26, 2021 at 19:17

3 votes

On cutting tetrahedrons into mutually congruent pieces

answered May 27 at 0:18

3 votes

Accepted

Planar convex region maximizing the difference in 'orientation' between its smallest containing rectangle and largest contained rectangle

answered Jul 15, 2023 at 18:02

2 votes

On largest convex m-gons contained in a given convex n-gon where m < n

answered Aug 2, 2023 at 5:58

2 votes

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To find the convex planar region minimizing diameter when area and perimeter are given

answered Nov 26, 2023 at 8:08

2 votes

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Worst convex compact set for translational packings of $\mathbb R^d$

answered Aug 3, 2021 at 18:45

2 votes

Partition of polygons into 'strongly acute' and 'strongly obtuse' triangles

answered Oct 29, 2022 at 17:42

2 votes

Sofa in a snaky 3D corridor

answered Oct 9, 2022 at 21:36

2 votes

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Partitioning convex polygons into quadrilaterals of equal area and perimeter

answered Aug 15, 2022 at 21:27

1 vote

Cutting convex regions into equal diameter and equal least width pieces

answered Nov 10, 2020 at 22:45

Stack Exchange Network

31 Answers

Can you see through a cannonball packing?

A hat puzzle question—how to prove the standard solution is optimal?

Tiling the plane with pairwise non-congruent rational triangles

How can one construct a four-coloring of a tiling of the plane with Smith, Myers, Kaplan, and Goodman-Strauss's aperiodic monotile?

Not especially famous, long-open problems which anyone can understand

Tiling with ten-fold symmetry and (unoriented) Penrose tiles?

Finite set of non-collinear points on plane with every point having ≥ 3 equidistant neighbors?

Distribution over Penrose Tilings?

Are there any convex pentagonal rep-tiles?

Triangles that can be cut into mutually congruent and non-convex polygons

Intersecting cylinders around a sphere

What is the state of progress on this problem about continuous functions from spheres to Euclidean space?

Is it possible for the dihedral angles of a polyhedron to all grow simultaneously?

Solution to Erdos-Ulam problem

Have you solved problems in your sleep?

Tiling planar integer lattice by finite point sets

Family of shapes that can be tiled into one another

Which convex pentagon gives least packing density?

Does there exist a scale invariant random packing of circles in the plane?

Construct by compactness (Pentagonal tiling – Rao paper)

On packing axisymmetric bodies in 3D

On cutting tetrahedrons into mutually congruent pieces

Planar convex region maximizing the difference in 'orientation' between its smallest containing rectangle and largest contained rectangle

On largest convex m-gons contained in a given convex n-gon where m < n

To find the convex planar region minimizing diameter when area and perimeter are given

Worst convex compact set for translational packings of $\mathbb R^d$

Partition of polygons into 'strongly acute' and 'strongly obtuse' triangles

Sofa in a snaky 3D corridor

Partitioning convex polygons into quadrilaterals of equal area and perimeter

Cutting convex regions into equal diameter and equal least width pieces