Hexagonal Pattern Generator with 1/6th Symmetry
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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.
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