The Math Behind Endless Patterns

Video Description

In this StarTalk Plus conversation, host Neil deGrasse Tyson speaks with Grant Sanderson (creator of the 3Blue1Brown channel) about why the square root of negative one, i, is genuinely useful. Grant shows how complex numbers naturally describe cycles, phase, and frequency, which is why they appear in electrical engineering, signal processing, and quantum mechanics. They discuss why the word “imaginary” is misleading, how complex numbers grew from attempts to solve cubic equations, and how the unit circle and Euler’s formula connect rotation with waves. The goal is simple: replace mystery with understanding. From 'Tackling the Biggest Unsolved Problems in Math with 3Blue1Brown': https://youtu.be/7DEWW1yUN74?si=6iW3JC1Qqw9w6ZNE Get the StarTalk book, 'To Infinity and Beyond: A Journey of Cosmic Discovery' on Amazon: https://amzn.to/3PL0NFn Support us on Patreon: https://www.patreon.com/startalkradio FOLLOW or SUBSCRIBE to StarTalk: Twitter: http://twitter.com/startalkradio Facebook: https://www.facebook.com/StarTalk Instagram: https://www.instagram.com/startalk TikTok: https://www.tiktok.com/@neildegrassetyson