Carry Value Transformation (CVT): It's Application in Fractal formation

In this paper the theory of carry value transformation (CVT) is designed and developed on a pair of n-bit strings and is used to produce many interesting patterns. One of them is found to be a self-similar fractal whose dimension is same as the dimension of the Sierpinski triangle. Different construction procedures like L-system, cellular automata rule, Tilling for this fractal are obtained which signifies that like other tools CVT can also be used for the formation of self-similar fractals. Finally it is shown that CVT can also be used for the production of periodic as well as chaotic patterns.