Hexagonal Pattern Generator with 1/6th Symmetry

I am trying to create fuel loading patterns for a hexagon-shaped reactor core. Most of the design work is trial and error and I would like to see if I can use MATLAB to generate random patterns for possible core designs. The picture below illustrates what I am working with:

I only need a method to make patterns for 1/6th of the core since it is symmetric, though it would be helpful if I can apply the symmetry condition to make the full core. I only need to move around the orange and green cells.

I've found posts on how to make hexagonal lattices but I haven't found anything on filling in the hexagons or how to generate patterns with two colors. Any direction or suggestions on implementing this would be very helpful.

[davod naghavi]

if u solved this please help me!

Answer 1

[Eman S]

You can check the following file exchange functions;

https://www.mathworks.com/matlabcentral/fileexchange/55572-tiling-hexagons-and-other-permutohedra

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https://www.mathworks.com/matlabcentral/fileexchange/18155-matlab-hexxagon

================================================================================= https://www.mathworks.com/matlabcentral/fileexchange/62355-honeycomb

================================================================================= https://www.mathworks.com/matlabcentral/fileexchange/4024-pattern-generator-for-matlab

================================================================================= https://www.mathworks.com/matlabcentral/fileexchange/67680-hexagonal-grid-generator-with-center-points

They may help you.

[HG]

https://www.mathworks.com/matlabcentral/answers/855885-color-voronoi-diagram-and-coresponding-matrix?s_tid=prof_contriblnk

please answer my question if it's possible for you.