apparently i was too hasty in determining the tiles previously posted to be irreducible square patterns. by dividing the crescent moon tile into quarters i arrived on a simpler arced scallop (or fan) shape in the foreground with a tiny bit of triangular contrasting field remaining. one would still need two versions of these tiles (both black scallop on white and a white scallop on black) and plenty of rotation to complete the full black and white undulating wave pattern. in dont see how i can go any further in the reduction process with this project at this point.
the thumbnail sketch above is representative of my working process. freehand cross hatching with a ballpoint pen on graph paper with the assistance of a graphite loaded carpenters compass.
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apparently i was too hasty in determining the tiles previously posted to be irreducible square patterns. by dividing the crescent moon tile into quarters i arrived on a simpler arced scallop (or fan) shape in the foreground with a tiny bit of triangular contrasting field remaining. one would still need two versions of these tiles (both black scallop on white and a white scallop on black) and plenty of rotation to complete the full black and white undulating wave pattern. in dont see how i can go any further in the reduction process with this project at this point.
the thumbnail sketch above is representative of my working process. freehand cross hatching with a ballpoint pen on graph paper with the assistance of a graphite loaded carpenters compass.
- bill 4-04-2009 5:42 pm