Newest 'packing-problem' Questions - Mathematics Stack Exchange
Special Circle Packing problem, what is the least number of circles that can be fitted inside another circle? Background & Motivation: It is a brand new problem I came up with while studying Apollonian gaskets and circle packing, which requires more brain power than I have.
Packing problem cube and cuboids - Mathematics Stack Exchange
Packing Problem in cuboids. 8. Tetrahedron packing in Cube. 0. Equilateral Triangle Packing Problem. 1 ...
Interval packing problem - Mathematics Stack Exchange
Number of Permutations in a Bin Packing Problem. 0. Goldilocks Packing type problem. 2.
Packing Problem in cuboids - Mathematics Stack Exchange
I can't seem to comment on this question Packing problem cube and cuboids but it is related. I just want to know what is the specific method used in the answer so I can try to replicate it for my own question. Specifically, how do you get BRICKS(i,i,i)=0 and BOX(i,i,i)=−2+2i using the values of 10x10x10 and bricks of 1x1x4.
2D packing problem, as a puzzle. - Mathematics Stack Exchange
2022年10月28日 · In this problem there exist 4 possible different colors of squares, each 1 length unit by 1 length unit in size, on a 2d grid with size 12x12 length units^2: Red, blue, black and grey. This packing problem has, however, special rules to go along with it: Red squares may not share any sides with blue squares, or they will transform into black ...
calculus - Maximum number of circle packing into a rectangle ...
2017年12月3日 · But you can estimate the number of circles that will fit by knowing that the limiting density of the triangular packing is $\frac{\pi}{2\sqrt 3}$. The $257 \times 157$ rectangle has area $40349$, but at most a $\frac{\pi}{2\sqrt 3}$ fraction of that area can be used: at most area $\frac{40349 \pi}{2\sqrt 3} \approx 36592.5$.
About the squares in square packing problem with 11 squares
2015年6月3日 · In this web site there are the solutions of a lot of packing squares problems. I know a very simple method to calculate with pen and paper the solution for the ten squares in a square using the same method than for five squares.
Sequential square packings - Mathematics Stack Exchange
Adam Ponting found an efficient packing for squares of size $1$ to $(2 n+1)^2$, as seen in his article square packing. I expanded that for Ponting Square Packing. In the below, an offset is used on his method to pack squares of size 32 to 200. A value of 31 can be subtracted from all sizes for a packing of squares 1 to 169. So, what is a square ...
combinatorics - Bin Packing Problem with fixed size of bins ...
2020年8月27日 · I'm studying Bin Packing Problem for my thesis and I meet this definition of the decision verson of the problem in the book "Computers and Intractability" by Michael R. Garey and David S.
Equilateral Triangle Packing Problem - Mathematics Stack Exchange
2016年4月19日 · Prove that an equilateral triangle allows for the greatest packing density when only packing one circle into a triangle. I have though of starting with the unit circle inscribed in an equilateral triangle, then using the ratio of the area of the circle to the left over area of the triangle to construct the proof.