Golden Rectangle-Based Tile

The starting point for this gasket fractal is a group of six golden rectangles (with edge lengths in the ratio of 1.618... to 1) that form a larger golden rectangle with a hole in the center. The hole is not a golden rectangle, so this is not a reptile. It can still be used to generate a gasket fractal, though, as shown through five iterations. The fifth iteration is larger to better show the detail.

All images copyright Robert Fathauer

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