A simple example of such a magma may be derived from the children's game of rock, paper, scissors.
Such magmas give rise to non-associative algebras.
, standing for the "rock", "paper" and "scissors" gestures respectively, and consider the binary operation
derived from the rules of the game as follows:[1] This results in the Cayley table:[1] By definition, the magma
[3] Commutative but non-associative magmas may be used to analyze genetic recombination.