The Great Pyramid Is Full of Strange Numbers. Which Ones Actually Matter?

The Great Pyramid of Giza is unusually hospitable to numerology.

Take its dimensions, divide one measurement by another, multiply something by four, introduce a slant height, and very quickly familiar mathematical constants begin crawling out of the limestone.

The most famous is π.

The pyramid's proportions can be expressed in a way that gives a value strikingly close to 3.14. Another relationship between its slope and dimensions comes remarkably close to the golden ratio, approximately 1.618.

That sounds extraordinary.

It is also where we need to become suspicious.

Historians of mathematics have been arguing about these relationships for generations. The numerical similarities are real. Evidence that Khufu's architects deliberately encoded π or the golden ratio is not.

One plausible reconstruction gives the pyramid a rise-to-run relationship of 14 to 11. Ancient Egyptian builders measured slopes using practical ratios, and those fairly ordinary numbers happen to generate some very interesting modern ones. The Mathematical Association of America notes that the observed slope is consistent with a rise of 14 for a run of 11, while historians have repeatedly cautioned against projecting mathematical concepts developed much later onto Egyptian architecture.

This does not make the pyramid less impressive.

Quite the opposite.

The Egyptians did not need hidden knowledge of irrational constants to create an enormous monument with carefully controlled geometry thousands of years before modern surveying equipment.

They did have mathematics. Egyptian texts show knowledge of areas, volumes, fractions and practical geometry. The Rhind Mathematical Papyrus, written centuries after the Great Pyramid but reflecting an established mathematical tradition, contains a method for calculating circular areas corresponding to a value of π around 3.16.

The pyramid also really is astonishingly regular.

That makes it an irresistible numerical playground.

But there is an important difference between discovering a mathematical relationship in a structure and proving that its builders intended that relationship.

Given enough dimensions, humans can find remarkable ratios in almost anything.

The Great Pyramid does not need secret codes to be mathematically fascinating.

The mathematics we can actually demonstrate is already enough.