Post without words #16

Posted on May 19, 2017 by Brent

About Brent

Associate Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
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7 Responses to Post without words #16

  1. blaisepascal2014 says:
    May 19, 2017 at 3:55 pm

    I like the patterns. Pleasing. Very Venn — I mean, Zen.

  2. xander says:
    May 19, 2017 at 11:07 pm

    I found a rather nice interactive one a while back: http://moebio.com/research/sevensets/ .

  3. Naren Sundar says:
    May 20, 2017 at 5:02 am

    Looks really cool. I am drawn to the intersections and by counting them I see that all possible intersections of the n ellipses are present.

    • Brent says:
      May 20, 2017 at 8:06 pm

      Technically, counting alone can’t prove that all possible intersections are present—some could be repeated—but in fact you’re exactly right!

  4. Denis says:
    May 21, 2017 at 6:48 am

    A diagram much like the last one was the inspiration for the 5D flower we discussed in PWW 13-14. The intersections here match the points in the flower, but not every neighboring node in my flower is a neighboring cell here. Drawing out the dual clarifies that the “missing” connections are generally to the near-opposite side of the diagram, with the curves moving counterclockwise as they go outward.

  5. Widget says:
    May 21, 2017 at 7:49 pm

    There is a lovely discussion about drawing multiset Venn diagrams. In fact there was a site that would attempt to construct quite large diagrams; alas, I can’t remember where.

    This site has a lovely five set Venn diagram. https://quentinsf.com/software/venn/. Following the link to Dr. Edward’s site allows exploration of some of the other ways to draw the diagrams in the links.

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