This paper delves into the world of Miura Ori tessellations, demonstrating how the base model can be transformed and extended into very different looking origami designs by applying various topological transformation to the original crease pattern. Central to our exploration is a framework for executing these transformations. While the designs can be drawn digitally using graphic design software without the use of mathematics, we have developed a mathematical method based on the use of complex numbers and polar radial functions. This method enables the transformations to be performed with precision while delivering the output with efficiency. The techniques outlined here are then generalised to other origami corrugation crease patterns such as the (curved) Triangle Fold pattern by Ron Resch, and coded for ease of application, offering a realm of creative possibilities for designers.