Theory of Rule 6 and its Application to Round Robin Tournament

In this paper we have used one 2 variable Boolean function called Rule 6 to define another beautiful transformation named as Extended Rule-6. Using this function we have explored the algebraic beauties and its application to an efficient Round Robin Tournament (RRT) routine for 2 (k is any natural number) number of teams. At the end, we have thrown some light towards any number of teams of the form n where n, k are natural numbers. KeywordsBoolean functions, fractals, Round-Robin Tournament, Carry value Transformation, Extended Rule 6, and Analogous rule 6.