Golden Rectangle-Based Tile

The starting point for this gasket fractal is a group of four golden rectangles (with edge lengths in the ratio of 1.618... to 1), two in each of two sizes, 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.

All images copyright Robert Fathauer

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