Question

Can $27$ points be packed into a $3\times3\times3$ cube and all be more than $\sqrt{3}$ from one another?

score 358 · Answer 1 · 2026-04-17 02:34:45

358

Views

Can $27$ points be packed into a $3\times3\times3$ cube and all be more than $\sqrt{3}$ from one another?

Published on 17 Apr 2026 - 2:34

score 486 · Answer 2 · 2026-05-10 17:58:21

486

Views

Reference request: Good introduction to Sphere Packing

Published on 10 May 2026 - 17:58

score 823 · Answer 3 · 2026-04-14 10:34:50

823

Views

Packing regular tetrahedra of edge length 1 with a vertex at the origin in a unit sphere

Published on 14 Apr 2026 - 10:34

score 231 · Answer 4 · 2026-04-16 15:44:52

231

Views

Optimal set of rectangle sizes to pack arbitrary rectangle?

Published on 16 Apr 2026 - 15:44

score 84 · Answer 5 · 2026-04-17 04:03:11

84

Views

Given a set of points X, locate the ball of maximum radius whose interior contains none of the points in X

Published on 17 Apr 2026 - 4:03

score 563 · Answer 6 · 2026-04-14 09:14:31

563

Views

Equilateral Triangles In The Taxicab Space

Published on 14 Apr 2026 - 9:14

score 56 · Answer 7 · 2026-04-15 02:36:22

56

Views

Irrational packing of Euclidean spaces (with no gaps).

Published on 15 Apr 2026 - 2:36

score 192 · Answer 8 · 2026-04-16 15:37:15

192

Views

Equilateral triangle packing in the $l^1$ circle v.s. the $l^2$ circle

Published on 16 Apr 2026 - 15:37

score 182 · Answer 9 · 2026-04-13 20:00:03

182

Views

T shaped tetris figures on a plane

Published on 13 Apr 2026 - 20:00

score 477 · Answer 10 · 2026-04-14 15:56:51

477

Views

Side length of the smallest square that can be dissected into $n$ squares with integer sides

Published on 14 Apr 2026 - 15:56

score 154 · Answer 11 · 2026-04-12 02:22:08

154

Views

How do I pack 2D objects into an arbitrary shape?

Published on 12 Apr 2026 - 2:22

score 49 · Answer 12 · 2026-04-16 12:52:44

49

Views

Smallest circumcircle around four non-overlapping unit semicircles

Published on 16 Apr 2026 - 12:52

score 64 · Answer 13 · 2026-04-13 10:16:49

64

Views

Packing 2x1x1 prisms into larger prisms

Published on 13 Apr 2026 - 10:16

score 55 · Answer 14 · 2026-04-14 04:04:53

55

Views

Circles of one integer diameter tightly packed around a circle of another integer diameter

Published on 14 Apr 2026 - 4:04

score 1.6k · Answer 15 · 2026-05-10 19:15:51

1.6k

Views

Is packing rectangles exactly into a larger rectangle NP-complete?

Published on 10 May 2026 - 19:15

List Question

Can $27$ points be packed into a $3\times3\times3$ cube and all be more than $\sqrt{3}$ from one another?

Reference request: Good introduction to Sphere Packing

Packing regular tetrahedra of edge length 1 with a vertex at the origin in a unit sphere

Optimal set of rectangle sizes to pack arbitrary rectangle?

Given a set of points X, locate the ball of maximum radius whose interior contains none of the points in X

Equilateral Triangles In The Taxicab Space

Irrational packing of Euclidean spaces (with no gaps).

Equilateral triangle packing in the $l^1$ circle v.s. the $l^2$ circle

T shaped tetris figures on a plane

Side length of the smallest square that can be dissected into $n$ squares with integer sides

How do I pack 2D objects into an arbitrary shape?

Smallest circumcircle around four non-overlapping unit semicircles

Packing 2x1x1 prisms into larger prisms

Circles of one integer diameter tightly packed around a circle of another integer diameter

Is packing rectangles exactly into a larger rectangle NP-complete?

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