Post without words #28

Assistant 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:

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.

• Christophe BAL says:

You’re right. See my comment below.

3. BAL Christophe says:

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

• Christophe BAL says:

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

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.