This research highlights José María Yturralde’s most significant involvement and contributions to early computer art from 1968 to 1973. Yturralde collaborated with artists and scientists to expand and redefine his understanding of shapes, and explored ways that the mainframe computer could be used as a tool for complementing his art practices. He is known for developing a mathematical model with which he was able to create a highly sophisticated program where Penrose geometries could be recombined algorithmically. However, there is limited evidence and access to the code of the actual software. The authors’ goal is to further understand Yturralde’s contribution by developing a re-significance of his model, which they have accomplished through a modern interpretation of manuscripts.