TITLE:
Magic Numbers of the Great Pyramid: A Surprising Result
AUTHORS:
Hans Hermann Otto
KEYWORDS:
Geometry, Great Pyramid, In-Sphere Volume, Golden Mean, Fifth Power of Golden Mean, Fibonacci Number 13, Curious Angel Arcsin (φ5)
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.10,
October
10,
2020
ABSTRACT: Recently attention has been drawn to the frequently observed fifth power of the golden mean in many disciplines of science and technology. Whereas in a forthcoming contribution the focus will be directed towards Fibonacci number-based helical structures of living as well as inorganic matter, in this short letter the geometry of the Great Pyramid of the ancient Egyptians was investigated once more. The surprising main result is that the ratio of the in-sphere volume of the pyramid and the pyramid volume itself is given by π⋅φ5, where φ = 0.618033987⋅⋅⋅ is nature’s most important number, the golden mean. In this way not only phase transitions from microscopic to cosmic scale are connected with φ5, also ingenious ancient builders have intuitively guessed its magic before.