Middle Stone Age hunter-gatherers used geometric principles when creating ornaments on vessels made from ostrich eggshells. Engravings found on artifacts from the Howiesons Poort culture display a strict logic in their construction, featuring parallel lines, right angles, and hierarchical structures. Research confirms that the basic elements of Euclidean geometry were known to Homo sapiens tens of thousands of years before the emergence of the first civilizations.

Previously, fragments of ostrich eggs used as water containers by ancient people were discovered at sites in South Africa and Namibia. These finds, dated between 65,000 and 60,000 years old, have traditionally been seen as evidence of symbolic behavior or early art. However, until recently, no mathematical analysis had been conducted on the structure of the patterns to determine whether they resulted from deliberate geometric planning or random hand movements.

During the study, a quantitative analysis was performed on 109 fragments of engraved eggshell. Researchers digitized 1,275 lines composed of 1,635 segments and examined 1,405 intersection points. They analyzed characteristics such as curvature, parallelism, convergence points, and other properties that remain consistent regardless of viewing angle. Using statistical modeling, they compared the frequency of ordered groups of elements with their random distribution.

The results of the mathematical analysis showed that 83.4% of all drawing segments formed strictly parallel groups. About 33.6% of the angles created by intersecting lines were right angles (90° with a tolerance of 7°). Four types of mental operations were identified in the actions of ancient engravers: repetition (iteration), rotation, translation (shift), and nesting one figure within another. In patterns such as "grid" or "hatched band," a hierarchical structure was observed, where one group of elements served as a frame for another. These rules for creating patterns remained stable across different sites for 5,000 years.

The study demonstrated that the human ability to structure forms and apply geometric rules was fully developed by the Middle Stone Age, and methods of spatial perception have not changed significantly over the past 60,000 years. These engravings laid the cognitive foundation for the later development of geometry and writing.