As a computer scientist, I have long been fascinated with the intersection of art, mathematics, and computer science. Abstract visual artists who have enlightened and inspired me include the artists Josef Albers, Ellsworth Kelly, and Piet Mondrian. Recently, I have written software specifically for generating mathematically oriented abstract art. The software uses geometric transformations as its underlying principle, while also allowing for the precise specification of color, texture, and opacity; it has a rich, descriptive input language as well as a high quality rendering engine. This software has enabled me to explore abstract, mathematically oriented art which computer generation makes feasible.