Surprise Pi
Pi is also a transcendental number - a number that is not algebraic, ie it is not the solution of an algebraic equation with rational-number coefficients.
Some discussion of pi and its surprises can be found on the following media
The Problem of Infinite Pi(e) - The Curious Case of Rutherford and Fry 2 Nov 2022
The First & Last Digits of Pi – Numberphile
(A link to pi afficinado Martin Krzywinski’s (pronounced Shavinski) page is here)
Videos
The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These? Zac Star
A Geometric Answer to The Basel Problem, Why Is Pi Here? 3Blue1Brown
The Discovery That Transformed Pi Veratasium
Books
The Joy Of Pi by David Blatner
A History of Pi by Petr Beckmann
Pi: A Biography of The World’s Most Mysterious Number Alfred S. Posamentier
If you have a favourite book, podcast or interesting point about pi we would love to hear about it. Please let us know at contact@allteus.com