Wasn't it James Evans who wrote:
>Mike Raiford <mra### [at] hotmailcom> wrote:
>> James Evans posted some sort of non-sphere-non-checkered-plane first post:
>>
>> I like the floor texture. Care to share how you created it?
>>
>> --
>> ~Mike
>>
>> Things! Billions of them!
>
>The floor texture is just a repetitive lattice of a hexagon with two
>triangles on either side... then translated appropriately. I would be happy
>to
>post the source file if you'd like to see it.
>~ James

Did you consider using a hexagonal texture map, something like this:

#include "colors.inc"
#include "stones.inc"

#declare T1 = texture {T_Stone20 scale 5} // Texture for hexagons
#declare T2 = texture {T_Stone17 scale 2} // texture for triangles

#declare S=sin(pi*2/3);
#declare C=cos(pi*2/3);

plane {y,0
  texture {function {sin(x-pi/2) * sin(x*C+z*S) * sin(x*C-z*S) /4}
    texture_map { [0.5 T1][0.5 T2] }
  }
}

-- 
Mike Williams
Gentleman of Leisure

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