In Random Polygon, Nake explores how indeterminacy can be embedded within strict formal systems. The work is generated from a sequence of randomly determined vertices and side lengths, producing a polygonal path that repeatedly crosses itself. The form is restless and exploratory, tracing a meandering course across the page rather than resolving into a stable, closed shape. This tension between rule-based construction and unpredictable outcome lies at the core of Nake’s early computer art. The computer executes mathematical instructions without interpretation, yet the resulting image suggests movement, hesitation, and complexity. Random Polygon demonstrates Nake’s interest in probability as a compositional tool and highlights his conviction that each plotted drawing is only one realization of the algorithm among infinitely many possible outcomes.