Question

How many different ways can you place a set of squares, each with integer side length, on a 2D grid of size N x N without overlapping?

score 691 · Answer 1 · 2021-06-11 03:16:19

691

Views

How many different ways can you place a set of squares, each with integer side length, on a 2D grid of size N x N without overlapping?

Published on 11 Jun 2021 - 3:16

score 61 · Answer 2 · 2021-06-11 08:38:09

61

Views

Algorithms to find the allocation solution of placing items to bins that maximizes the number of total full bins

Published on 11 Jun 2021 - 8:38

score 295 · Answer 3 · 2021-07-14 22:29:29

295

Views

How many rectangles of different sizes can fit in a large rectangle, until you need to exchange the large rectangle for a bigger rectangle

Published on 14 Jul 2021 - 22:29

score 45 · Answer 4 · 2021-07-15 15:02:05

45

Views

Optimal distribution of the playing cards on print templates

Published on 15 Jul 2021 - 15:02

score 79 · Answer 5 · 2021-08-22 02:53:12

79

Views

Why can't Pascal's Simplex with n terms be used to describe close-packing of equal n-spheres?

Published on 22 Aug 2021 - 2:53

score 216 · Answer 6 · 2021-09-12 07:36:13

216

Views

Packing maximum number of identical rectangles in a polygon

Published on 12 Sep 2021 - 7:36

score 117 · Answer 7 · 2021-09-21 21:02:22

117

Views

Packing spheres in a sphere

Published on 21 Sep 2021 - 21:02

score 136 · Answer 8 · 2021-10-21 09:55:01

136

Views

Circle Packing - Average distance between a random point in a circle and the second, third, fourth, ... closest circle centre

Published on 21 Oct 2021 - 9:55

score 60 · Answer 9 · 2021-10-21 21:42:03

60

Views

If you fill space with spheres and inflate them

Published on 21 Oct 2021 - 21:42

score 109 · Answer 10 · 2021-10-23 17:57:34

109

Views

What is this branch of mathematics?

Published on 23 Oct 2021 - 17:57

score 144 · Answer 11 · 2021-10-25 11:54:30

144

Views

2D packing problem - how to optimise/maximise area of a a set of irregular convex polygons within a polygon?

Published on 25 Oct 2021 - 11:54

score 36 · Answer 12 · 2021-10-31 23:27:13

36

Views

If two lattices have the same kissing number and center density, then are they similar?

Published on 31 Oct 2021 - 23:27

score 116 · Answer 13 · 2021-11-13 16:04:40

116

Views

Find $m$ (approx) maximally distant unit vectors in a unit $n$-sphere, where $m > n$

Published on 13 Nov 2021 - 16:04

score 104 · Answer 14 · 2021-11-25 10:24:28

104

Views

algorithm for fitting different sized circles into a square

Published on 25 Nov 2021 - 10:24

score 133 · Answer 15 · 2021-12-03 11:24:05

133

Views

Can you convert a packing with overlap to a packing without overlap?

Published on 03 Dec 2021 - 11:24

List Question

How many different ways can you place a set of squares, each with integer side length, on a 2D grid of size N x N without overlapping?

Algorithms to find the allocation solution of placing items to bins that maximizes the number of total full bins

How many rectangles of different sizes can fit in a large rectangle, until you need to exchange the large rectangle for a bigger rectangle

Optimal distribution of the playing cards on print templates

Why can't Pascal's Simplex with n terms be used to describe close-packing of equal n-spheres?

Packing maximum number of identical rectangles in a polygon

Packing spheres in a sphere

Circle Packing - Average distance between a random point in a circle and the second, third, fourth, ... closest circle centre

If you fill space with spheres and inflate them

What is this branch of mathematics?

2D packing problem - how to optimise/maximise area of a a set of irregular convex polygons within a polygon?

If two lattices have the same kissing number and center density, then are they similar?

Find $m$ (approx) maximally distant unit vectors in a unit $n$-sphere, where $m > n$

algorithm for fitting different sized circles into a square

Can you convert a packing with overlap to a packing without overlap?

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