The knight’s march does not generate all the pan diagonal magic squares of a higher order. I could imagine replicating the algorithm without understanding it, transcribing the existing Java - the core of the implementation is very few methods, arrays and arithmentic hardly any Java cleverness. The number of pan diagonal magic squares of order 5 is 28800 and is still not known for orders higher than 6. The actual algorithm isn't explained in the comments and I can't find any references to the details. The method used by your referenced article is using some clever maths, simulated annealing. It does reference a genetic algorithm, wonder whether you could find more details about that? But as you say that's not a truly random magic square. Wikipedia has several algorithms for generating magic squares, such as the siamese, if you please. I did notice, however, that when you generate a new square, it shows the numbers 1-25 (for a 5x5 square), in order, before quickly generating a fresh randomized square. The input should be odd as I am writing an odd. Furthermore, the sum of each row, column and diagonal must be the same.
#Magic square generator algorithm code#
Therefore, I don't really understand what the code is actually doing. For those unfamiliar with the classic magic square algorithm: A magic square is a two dimensional array (n x n) which contains a numerical value between the values 1 and n2 in each location.
includeI know of one generator, written in Java ( ) but the last Java experience I had was over 10 years ago before I quickly abandoned it. Description A 3x3 magic square is a 3x3 grid of the numbers 1-9 such that.
#Magic square generator algorithm how to#
a 5x5 square where all rows/columns add up to 65 - the diagonals don't matter).Ĭan anybody provide a starting point? I don't want anybody to do the work for me, I just need to know how to start such a project? Generating the matrix of possible magic squares is far more time-consuming than anything up to this point, and might best have been its own Generate 3x3 Magic. I want to be able to generate an N-by-N Magic Square of N² numbers where each row and column adds up to N(N²+1)/2 (e.g. But that doesn't create a truly randomized Magic Square, which is what I'm aiming for. I know of the many methods that create magic square, such as starting "1" at a fixed position, then moving in a specific direction with each iteration. a grid of numbers that all add up to the same value), but I really don't know where to start. I'd like to try my hand at creating a Magic Square in PHP (i.e.
0 kommentar(er)
