phi does play an interesting rôle in Penrose tilings. Not only as the ratio of the sides of the tiles, being long/short = phi, but also as the ratios of the numbers of different tiles in any patch. And many more if you plunge into them.

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## phi does play an interesting

phi does play an interesting rôle in Penrose tilings. Not only as the ratio of the sides of the tiles, being long/short = phi, but also as the ratios of the numbers of different tiles in any patch. And many more if you plunge into them.