Stochastic processes are associated with the concepts of uncertainty or chance. They are a major focus of studies in various scientific disciplines such as mathematics, statistics, finance, artificial intelligence/machine learning and philosophy. Visual Art too depends on elements of uncertainly and chance. To explore the commonality of concern between Science and Art and better understand stochastic processes, I used a graph theory reference model called the ‘shortest route problem’ and added additional elements specific to the art-making process to highlight a specific occurrence of randomness in visual perception.