New blog post: using complex numbers to draw spiral tilings. It's an old idea, but I've always wanted to explain it in full. Plus, this time I include an interactive tool for drawing your own tilings!http://isohedral.ca/escher-like-spiral-tilings/ …
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Fantastic! I’d love to know more.
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Thanks! It's a conformal mapping formed by superposition of shifted copies of +/- Ln(z) Here's one with an Escher tessellationpic.twitter.com/cn8sOw4RF7
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Imagine a 3D shape of which this is a sequence of slices
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Funny you should say that! As it happens, I am generating the 3d shape first, and these are the contourshttps://spacesymmetrystructure.wordpress.com/rheotomic-surfaces/ …
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What is math behind this? I would like to understand.
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One way of looking at it is as *potential flow* of an ideal fluid, adding together sources, sinks and vortices as functions of complex numbers. http://mathfaculty.fullerton.edu/mathews/c2003/SourceSinkMod.html … A very nice book that covers this is 'Visual Complex Analysis' by Tristan Needham
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