Cutting 𝜋 in five equal parts| Constructing a regular pentagon
Constructing a regular pentagon is what I have been willing to do for quite some time. Euclid in his book "Elements" gave a construction for regular pentagon. When I decided to do this construction on my own, I landed into the realm of 36, 72, 108 degrees etc. The simplest way to approach this land of geometry was dividing 𝜋 into five equal parts. A student in high school should be familiar with dividing 𝜋 into 2/3/4/6 parts. But 5 is interesting! In music also 5 is pretty interesting.
00:00 Introduction
01:20 Cutting 𝜋 in 2 and 3 equal parts
04:10 Cutting 𝜋 in 4 and 6 equal parts
06:27 Cutting 𝜋 in 5equal parts
19:57 Constructing a regular pentagon