So here a GH with simple script, and a ghuser (not possible to post ghuser). And don’t forget curves are on XY planes and are projected on the XY plane inside the script. I choose here to extend curves with line. A regular tessellation means that the pattern is made up of congruent regular polygons, same size and shape, including some type of movement that is, some type of transformation or symmetry. A periodic tiling has a repeating pattern. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. It has many advantages: figures in tessellations seem simple, but it can be shaped into extremely complex graphics tessellation generates according to precise. If 0 no extension if 1 the extension has the length of the diagonal of the bounding box of all the input curves. A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. Possible topological neighbourhoods in an irregular tessellation of R 2 : (a) Moore neighboorhood (Definition 3.5) and (b) von Neumann neighbourhood (Definition 3.6). As curves are finite I add an extension factor. Take curves, says that a curve represant the trajectory of a crack, this crack begins at the start point of the curve, it goes at constant velocity and continue until it touches another crack. Here is one version, that I am pretty happy with. It was quite long to find the good algorithm. Regular tessellations of the plane by two or more convex regular polygons such that the same polygons in the same order surround each polygon vertex are. A tessellation is the tiling of a plane using one or more geometric shapes such that there are no overlaps or gaps. I found some problems with my script, the logic was not very good to handle multiple cracks and curve in general (not just lines).
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