Spiral Geometry in Ancient Design: Evidence of Fibonacci Proportions in the Egyptian and Bosnian Pyramids

Abstract

This study investigates the geometric presence and architectural significance of Fibonacci spirals within two of the world’s most enigmatic pyramid complexes: the Giza Plateau in Egypt and the Bosnian Valley of the Pyramids in Visoko, Bosnia and Herzegovina. Through analysis of satellite imagery, topographic surveys, and digital overlays, the research identifies multiple instances of logarithmic spiral patterns consistent with the Fibonacci sequence and Golden Ratio (φ ≈ 1.618). These spirals connect major structures such as the Great Pyramid of Khufu, the Sphinx, and the Valley Temple in Egypt, as well as the Bosnian Pyramids of the Sun, Moon, Earth, and Dragon. The spatial relationships and angular progressions across both sites suggest intentional placement aligned with principles of harmonic proportion. The findings support the hypothesis that spiral geometry was not merely aesthetic but central to the symbolic and structural planning of ancient sacred architecture. This comparative approach reveals a shared mathematical consciousness across civilizations and opens new avenues for interpreting ancient landscape design through the lens of geometry.