This is Not a Nylon Stocking…

By Minnesotastan in Art, Science & Tech on Sep 2, 2010 at 11:44 am

…on a lumpy leg.  It is, rather, a guilloche pattern, typically seen on banknotes but also incorporated into other works of art and design.  In the past such patterns might have been generated by a geometric lathe, but nowadays they can be created mathematically.   The one above is generated by:

Found at The Ministry of Type, via Proof Math is Beautiful.


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  1. Foreigner1
    Sep 2nd, 2010 at 11:48 am

    Ah thnx for giving the formula- That’s the one I missed / lacked my whole life up until now.

    Now let me please continue on the formula to get drunk and wasted before I looked to long at that pattern….

  2. Rusty James
    Sep 3rd, 2010 at 10:23 am

    There’s actually a really cool guilloche pattern generator that I found online while doing research on the subject. Check it out:

    http://www.subblue.com/projects/guilloche

    It’s pretty fun to play with.


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