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.