You probably know that you can tile a golden rectangle with an infinite number of squares, but did you know that you can tile a square with an infinite number of golden rectangles ?
#GoldenRatio φ= (1+√5)/2pic.twitter.com/0Ew9aY3V6t
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If you don't rotate, (i.e. just color the horizontal and vertical rectangles different colors) you get two scaled copies of the same spiral (sorry about the ugly fills on this edit):pic.twitter.com/lFSBvdzcKd
True, but the spiral itself is less regular, with alternating fat and skinny arms.
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