Post without words #28

About Brent

Assistant Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
Image | This entry was posted in posts without words and tagged , , . Bookmark the permalink.

12 Responses to Post without words #28

  1. Sylvain B. says:

    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:

    Looks like an XOR table.

  3. BAL Christophe says:

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

  4. BAL Christophe says:

    Maybe a dihedrial group.

    • Christophe BAL says:

      That’s not this group…

      • Christophe BAL says:

        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:

          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:

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

Leave a reply. You can include LaTeX $latex like this$. Note you have to literally write 'latex' after the first dollar sign!

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.