Enter the Matrix: Transforming Knitting Patterns Using Matrices

The purpose of this thesis is to take a knitting pattern and to flip or rotate it, creating a new pattern. In order to accomplish this, knitting patterns are converted into matrices and then matrix properties, such as the matrix transpose and matrix multiplication, are used to transform the pattern. This project finds a particular order of matrix properties that can be applied to create rotations and flips of the original pattern. The transformed matrix can then be converted back into a knitting pattern. A program in JAVA that allows a user to input a knitting pattern and produce a rotated or flipped pattern is created using these matrix properties.