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nitaku

Node Gosper hex tiling

This experiment creates cells of an hexagonal tiling by following a Node Gosper curve. The drawing highlights groups of 7 and 49 (7^2) cells.

Thanks to the properties of the curve, each fractal recursion gives a nice, almost hexagonal shape (not exactly an hexagon, since hexagons are not rep-tiles). The perimeter of the obtained "island" is also less jagged with respect to a tiling that follows the standard Gosper curve (in fact, the two cannot even be overlapped onto each other: compare).

The aforementioned properties can prove to be useful when using such tilings to produce GosperMaps like this one, or this older one.