Generating an Array of Hexagonal Shape Pattern

Hi,

Here I have added a simple code, modifying my previous post (sorry for my repost, as I am trying to make my question much more understandable). The following code generates an array of values (i.e. H matrix here) having a dimension of 256x256 which is a square matrix (pattern looks like some black and white strips). I would like to modify this square matrix into a regular hexagonal shape through Matlab code. I have no idea how to do this,so can anyone plese help me in this regard?

Code:

mx=5;
my=10;
[x, y]=meshgrid(-1:2/255:+1, -1:2/255:+1);
H=(cos((x*pi*mx)+(y*pi*my)))>0;

figure(1) 
imagesc(H); colormap gray; axis image; axis off

[daniel]

http://matlabdatamining.blogspot.com/2008/04/generating-hexagonal-grids-for-fun-and.html

http://devmag.org.za/2013/08/31/geometry-with-hex-coordinates/

http://www.redblobgames.com/grids/hexagons/

this is a nice list of resources that may help you, I know this is an old post but, if you are still interested these links are quite helpful.

Answer 1

[Bharat]

I used patch to create a hexagonal grid.

    % MWE %
    l=10;
    b=10;
    C=rand(l,b);
    xhex=[0 1 2 2 1 0]; % x-coordinates of the vertices
    yhex=[2 3 2 1 0 1]; % y-coordinates of the vertices

    for i=1:b
        j=i-1;
        for k=1:l
            m=k-1;
            patch((xhex+mod(k,2))+2*j,yhex+2*m,C(k,i)) % make a hexagon at [2i,2j]
            hold on
        end
    end
    axis equal

Note that this code will generate hexagons at [2i,2j] co-ordinates. You can rescale the axis (TickLabels) or rescale the vertices of the hexagon. The mod(k,2) is used to shift the hexagons by 1 in alternate rows so that they fit. I have used a random matrix. You can simply change the matrix C to your data and plot the grid accordingly.

[sara hamdy]

if i want to draw 7 cell , and how i change the dimension of cell?

[Sim Mah]

I think they are not hexagon. The distances between the center and the corners are not constant.

[Mantas Pastolis]

Sim Mah, they are hexagon, just not regular hexagons.