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tiling a circle with an offset (math)
#9
You have to cheat a bit, since the true hexagonal pattern hasn't got an integer "rational" (in the mathematical sense) period and so cannot be tiled. But the grid script has an "integer pixel" option that slightly distorts the grid (alters its aspect ratio slightly) to give it that fractional period. With some luck this can be masked by the thickness of the lines.

For the stars you use the same segments, but use path to-shape to draw stars on them (using the "Diameter" reference)(orange). For the other set of stars, you use path-to-shape Segment>Transform>Rotate on these diameter segment to rotate them by 30°, then use the result as diameter for stars (green)(if the stars had an odd number or rays, you would just use the same segment for the diameter in both sets, and use the start on Summit/Side option to generate each set.

   
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RE: tiling a circle with an offset (math) - by Ofnuts - 06-14-2018, 10:50 PM

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