Post without words #28

Posted on December 9, 2019 by Brent

About Brent

Associate Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
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12 Responses to Post without words #28

  1. Sylvain B. says:
    December 9, 2019 at 9:54 pm

    Looks like the multiplication table of a group of order 16, the empty symbol being the identity element. Subgroups with lower orders are also visible (order = 1, 2, 4, 8).
    However, there is something related to the symbols and colors used for the elements, which I don’t catch.
    Nice mandala, anyway.

  2. Sheldon White says:
    December 10, 2019 at 12:11 am

    Looks like an XOR table.

  3. BAL Christophe says:
    December 10, 2019 at 3:43 am

    This talkes about a binary operation on numbers in base 4.

    • Christophe BAL says:
      December 10, 2019 at 6:38 am

      More precisely we have a integers from 0 to 16 in the “headers” of the rows and the columns.

  4. BAL Christophe says:
    December 10, 2019 at 3:47 am

    Maybe a dihedrial group.

    • Christophe BAL says:
      December 10, 2019 at 6:29 am

      That’s not this group…

      • Christophe BAL says:
        December 10, 2019 at 6:43 am

        If it is the table of a group, this group is an abelian one having 16 element all idempotent (a*a = e).

        • Christophe BAL says:
          December 10, 2019 at 6:50 am

          I think that is the table of ( (Z/2Z)^4 , + ). Here is the coding used.

          0 : (0, 0, 0, 0)
          1: (1, 0, 0, 0)
          2: (0, 1, 0, 0)
          3: (1, 1, 0, 0)
          4: (0, 0, 1, 0)
          …etc.

          For the drawing the convention used is the folowing one.
          (a, b, c, d)
          is represented by
          a b
          c d

  5. Pingback: All math, no words – The nth Root

  6. Denis says:
    December 10, 2019 at 6:46 pm

    Love it – especially seeing the 8×8 and 4×4 patterns hidden inside. Also the space-invader faces at (5,2) and equivalent.

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