4. The Builders’ Knowledge of Mathematics and Geometry


Building Stonehenge exposes not only a profound command of mathematics and geometry but also an extensive knowledge of astronomy. The way the stones are arranged and the monument’s proportions point to mathematical understanding well beyond what is usually connected with Neolithic communities.
Stonehenge’s round form is among the most arresting mathematical elements. With a circumference of almost thirty-three metres, the outer circle of sarsen stones is practically flawless. Making such a big, precise circle without contemporary surveying tools is rather amazing. It implies that the architects could convert mathematical ideas into physical reality and had a strong awareness of geometry.
Not only are the horseshoe arrangement of the trilithons inside the circle aesthetically appealing but also mathematically important. This inner horseshoe’s form is based on a proportion sometimes found in nature and generally connected with aesthetic beauty: the “golden ratio,” sometimes known as “phi.” The fact that this percentage shows up at Stonehenge points to a degree of mathematical knowledge quite unusual for its day.
Moreover, the stone placement and distance expose a possible knowledge of Pythagorean triangles. Certain stone placements generate right-angled triangles with sides in the ratio of 3:4:5 — a basic geometric principle not properly articulated until thousands of years later by the Greek mathematician Pythagoras.
Furthermore suggesting advanced mathematical expertise is the stone shaping and fitting’s accuracy. With the upright stones having a little convex curvature and the lintels a similar concave curve, the sarsen stones were meticulously sculpted to fit together. To guarantee stability, this interlocking system—called post-and-lintel architecture—needed exact calculations and measurements.
Furthermore, it appears like the builders measured using a standard unit all through the building. Sometimes called the “Megalithic Yard,” this unit seems to be regularly used at many Neolithic sites in Britain and even certain areas of Europe. Using a consistent measuring system suggests a degree of mathematical abstraction and shared knowledge quite amazing for a prehistoric community.

By zi ang

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