Cayley table of a non-abelian group
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There are two different groups of order six. This is the Cayley table for the non-abelian one.
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A Cayley table is a table that defines a binary operation on a set. Normally the entries are filled with numbers or other symbols, but here the entries are colors. With seven colors and six color changes you can fill the entries with different colors, and color the borders between heading and body of the table.
This table is of nonabelian group. It is described as the symmetric group on three letters, or the third dihedral group. I'll leave it as an exercise for you to identify the identity and the generators of this group.
This model was created to complement “Applied Discrete Structures” - a open content text in discrete mathematics (http://discretemath.org)
The model was created with Mathematica. Code for the .stl file is