Question

Covering/packing number of a sphere instead of a ball

score 277 · Answer 1 · 2023-09-01 17:35:33

277

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Covering/packing number of a sphere instead of a ball

Published on 01 Sep 2023 - 17:35

score 146 · Answer 2 · 2023-10-01 12:54:50

146

Views

Can you pack $53$ bricks of dimensions $1\times 1\times 4$ into a $6\times 6\times 6$ box?

Published on 01 Oct 2023 - 12:54

score 73 · Answer 3 · 2023-10-06 08:47:47

73

Views

For 4 balls having diameters $26,24,13$ and $9$ cm, find minimum length of a closed parallelepiped where the four balls can be placed.

Published on 06 Oct 2023 - 8:47

score 10 · Answer 4 · 2026-02-25 21:50:24

10

Views

Total illumination from packed spherical balls

Published on 25 Feb 2026 - 21:50

score 34 · Answer 5 · 2023-10-12 10:03:42

34

Views

2D Binpacking efficiency on a bin-level

Published on 12 Oct 2023 - 10:03

score 146 · Answer 6 · 2023-10-13 19:32:34

146

Views

Find the 16 largest quadrilaterals that fit inside the rectangle

Published on 13 Oct 2023 - 19:32

score 36 · Answer 7 · 2023-10-21 21:38:33

36

Views

How many balls to cover a hyperbolic or spherical disk?

Published on 21 Oct 2023 - 21:38

score 82 · Answer 8 · 2026-02-23 04:47:06

82

Views

Largest number of corner pieces in an $m \times n$ grid?

Published on 23 Feb 2026 - 4:47

score 168 · Answer 9 · 2023-10-25 20:00:23

168

Views

Configuration of $n$ points inside rectangle

Published on 25 Oct 2023 - 20:00

score 90 · Answer 10 · 2023-11-05 20:19:03

90

Views

Can you help me solve this space optimization problem?

Published on 05 Nov 2023 - 20:19

score 138 · Answer 11 · 2023-11-06 18:46:12

What is the max number of points I can put in an n-dimensional ball with radius 1, so that the distance between any two points is $\ge 1$?

score 78 · Answer 12 · 2023-11-07 02:11:36

78

Views

The 18 golden rational tetrahedra

Published on 07 Nov 2023 - 2:11

score 130 · Answer 13 · 2023-11-15 15:24:10

130

Views

What's the minimum number of hexagons required to cover the whole circle?

Published on 15 Nov 2023 - 15:24

score 35 · Answer 14 · 2023-11-26 19:29:06

35

Views

Show explicitly the rank-24 Leech lattice that is also symmetric unimodular matrix with integer entries?

Published on 26 Nov 2023 - 19:29

score 15 · Answer 15 · 2026-03-26 12:37:28

15

Views

Packing problem in the 3D cube - generalisation of the Loomis-Whitney / Finner / Brascamp–Lieb / Holder inequality

Published on 26 Mar 2026 - 12:37

List Question

Covering/packing number of a sphere instead of a ball

Can you pack $53$ bricks of dimensions $1\times 1\times 4$ into a $6\times 6\times 6$ box?

For 4 balls having diameters $26,24,13$ and $9$ cm, find minimum length of a closed parallelepiped where the four balls can be placed.

Total illumination from packed spherical balls

2D Binpacking efficiency on a bin-level

Find the 16 largest quadrilaterals that fit inside the rectangle

How many balls to cover a hyperbolic or spherical disk?

Largest number of corner pieces in an $m \times n$ grid?

Configuration of $n$ points inside rectangle

Can you help me solve this space optimization problem?

What is the max number of points I can put in an n-dimensional ball with radius 1, so that the distance between any two points is $\ge 1$?

The 18 golden rational tetrahedra

What's the minimum number of hexagons required to cover the whole circle?

Show explicitly the rank-24 Leech lattice that is also symmetric unimodular matrix with integer entries?

Packing problem in the 3D cube - generalisation of the Loomis-Whitney / Finner / Brascamp–Lieb / Holder inequality

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