In the latest iteration, I finally found a working method to maintain the linearity of the secondary system of lines while creating an active topography on top of the piece. The renders are of one of the two tiles I will create - by employing two tile types and line systems, greater variety is achieved in the tessellation.
And by scaling the tile, I was able to fit 4 into the surface area of one 12" x 12" block, meaning that I will have 16 total tiles to work with, creating the opportunity for a more complex system.
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