Construction of Hexagonal Shape Patterns

Hi, Here I have added a particular code which generates some circular holograms:

fx = 5:5:20;
fy = 5:5:20;
a=128;
b=128;
c=512;

[x,y] = meshgrid(-1:2/127:+1,-1:2/127:+1);
circ=sqrt(x.^2+y.^2)<1;

for j1 = numel(fx):-1:1
    for j2 = numel(fy):-1:1
     h{(j1-1)*numel(fy) + j2 } = circ.*cos(pi*(x*fx(j1) + y*fy(j2)))>0;
  end
end

M = cell(c/a);
M(:) = h;
M = cell2mat(M');

figure(1) 
imagesc(M),colormap gray; axis image; axis off

Likewise, now I want to construct some hexagonal holograms in Matlab which may not be a regular pattern like the circular one. I have no idea how to do this. Can anyone please help me in this regard? N.B.: The hexagonal pattern will be arranged somewhat like the one attached here.