The Blombos Cave site in South Africa has yielded crucial evidence for the emergence of complex cognitive abilities in early Homo sapiens, notably the discovery of engraved ochre pieces dating back approximately 77,000 years before present. These engravings, characterized by systematic patterns of cross-hatching and parallel lines, represent some of the earliest unequivocal examples of symbolic thought and abstract representation. This paper proposes an investigation into these ancient markings through the lens of computational analysis, specifically searching for "algorithmic signatures." We hypothesize that the repetitive and structured nature of these engravings might not be merely aesthetic or random, but rather indicative of underlying rule-based, iterative processes – a primitive form of algorithmic thinking. By applying methods adapted from geometric pattern recognition, statistical analysis of line properties, and graph theory, we aim to identify evidence of consistent application of generative rules, sequential steps, or recursive patterns within the engravings. Such findings would offer profound insights into the sophistication of Middle Stone Age cognition, suggesting a capacity for structured procedural thought that predates widely accepted notions of complex symbolic systems and potentially offers a window into the evolutionary precursors of mathematical or computational reasoning. This study contributes to a deeper understanding of the origins of human creativity and the cognitive underpinnings of complex behavior.