Question

For any $2-$d shape, can (at least) half its area be filled up with finitely many disjoint discs of the same size?

score 60 · Answer 1 · 2023-12-18 17:46:22

60

Views

For any $2-$d shape, can (at least) half its area be filled up with finitely many disjoint discs of the same size?

Published on 18 Dec 2023 - 17:46

score 49 · Answer 2 · 2024-01-13 03:56:46

49

Views

How to optimally pack random triangles with fixed perimeter

Published on 13 Jan 2024 - 3:56

score 102 · Answer 3 · 2024-01-20 15:06:47

102

Views

Circle packing in a circle

Published on 20 Jan 2024 - 15:06

score 626 · Answer 4 · 2026-03-26 04:34:21

626

Views

Placing kings on a 6x6 board - who wins?

Published on 26 Mar 2026 - 4:34

score 58 · Answer 5 · 2024-01-23 10:15:52

58

Views

Optimal "maze length" in plane tilings

Published on 23 Jan 2024 - 10:15

score 50 · Answer 6 · 2024-01-25 02:23:17

50

Views

What is the minimum excess area when covering a unit square with $n$ circles?

Published on 25 Jan 2024 - 2:23

score 62 · Answer 7 · 2024-01-25 09:14:33

62

Views

Is there a collection of disks that can't cover a unit disk, but can cover every ring centered at the origin with multiplicity?

Published on 25 Jan 2024 - 9:14

score 958 · Answer 8 · 2015-01-19 05:15:27

958

Views

Is Tetris a packing or covering problem?

Published on 19 Jan 2015 - 5:15

score 102 · Answer 9 · 2015-01-22 05:47:19

102

Views

Packing Problem - What do these notations mean?

Published on 22 Jan 2015 - 5:47

score 290 · Answer 10 · 2015-01-22 21:14:35

290

Views

population of dots with normal distribution of pitch

Published on 22 Jan 2015 - 21:14

score 75 · Answer 11 · 2015-01-27 10:22:42

75

Views

What does it mean by saying that a number is 'asymptotic to ' another number?

Published on 27 Jan 2015 - 10:22

score 117 · Answer 12 · 2015-02-15 11:17:21

117

Views

What is the side length of the smallest square containing $n$ dominoes with short side lengths $1,2,\dots,n$?

Published on 15 Feb 2015 - 11:17

score 51 · Answer 13 · 2015-03-03 21:43:37

51

Views

Formulating and solving box unloading as graph problem

Published on 03 Mar 2015 - 21:43

score 84 · Answer 14 · 2015-04-05 03:43:24

84

Views

Packing Problem

Published on 05 Apr 2015 - 3:43

score 4.4k · Answer 15 · 2015-04-07 00:16:18

4.4k

Views

Why can't three unit regular triangles cover a unit square?

Published on 07 Apr 2015 - 0:16

List Question

For any $2-$d shape, can (at least) half its area be filled up with finitely many disjoint discs of the same size?

How to optimally pack random triangles with fixed perimeter

Circle packing in a circle

Placing kings on a 6x6 board - who wins?

Optimal "maze length" in plane tilings

What is the minimum excess area when covering a unit square with $n$ circles?

Is there a collection of disks that can't cover a unit disk, but can cover every ring centered at the origin with multiplicity?

Is Tetris a packing or covering problem?

Packing Problem - What do these notations mean?

population of dots with normal distribution of pitch

What does it mean by saying that a number is 'asymptotic to ' another number?

What is the side length of the smallest square containing $n$ dominoes with short side lengths $1,2,\dots,n$?

Formulating and solving box unloading as graph problem

Packing Problem

Why can't three unit regular triangles cover a unit square?

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