Question

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

score 353 · Answer 1 · 2018-12-18 23:06:11

353

Views

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

Published on 18 Dec 2018 - 23:06

score 482 · Answer 2 · 2018-12-23 04:34:58

482

Views

Reference request: Good introduction to Sphere Packing

Published on 23 Dec 2018 - 4:34

score 820 · Answer 3 · 2019-01-04 07:40:03

820

Views

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

Published on 04 Jan 2019 - 7:40

score 228 · Answer 4 · 2019-01-13 01:17:51

228

Views

Optimal set of rectangle sizes to pack arbitrary rectangle?

Published on 13 Jan 2019 - 1:17

score 81 · Answer 5 · 2019-01-17 06:14:59

81

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 Jan 2019 - 6:14

score 560 · Answer 6 · 2019-01-25 00:08:53

560

Views

Equilateral Triangles In The Taxicab Space

Published on 25 Jan 2019 - 0:08

score 53 · Answer 7 · 2019-01-26 11:36:23

53

Views

Irrational packing of Euclidean spaces (with no gaps).

Published on 26 Jan 2019 - 11:36

score 190 · Answer 8 · 2026-03-25 06:03:48

190

Views

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

Published on 25 Mar 2026 - 6:03

score 178 · Answer 9 · 2019-02-15 20:54:06

178

Views

T shaped tetris figures on a plane

Published on 15 Feb 2019 - 20:54

score 474 · Answer 10 · 2019-03-11 23:22:49

474

Views

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

Published on 11 Mar 2019 - 23:22

score 151 · Answer 11 · 2019-03-14 20:44:51

151

Views

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

Published on 14 Mar 2019 - 20:44

score 47 · Answer 12 · 2019-03-22 03:49:44

47

Views

Smallest circumcircle around four non-overlapping unit semicircles

Published on 22 Mar 2019 - 3:49

score 61 · Answer 13 · 2019-03-26 03:13:43

61

Views

Packing 2x1x1 prisms into larger prisms

Published on 26 Mar 2019 - 3:13

score 52 · Answer 14 · 2019-04-22 14:07:28

52

Views

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

Published on 22 Apr 2019 - 14:07

score 1.6k · Answer 15 · 2019-05-23 09:42:36

1.6k

Views

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

Published on 23 May 2019 - 9:42

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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