This fractal is more complex than the Mandelbrot set

Thanks to Jane Street for sponsoring this video. If you’d like to learn more about their various departments and open roles, visit http://jane-st.co/SUM-roles. For a glimpse into life at Jane Street, visit http://jane-st.co/SUM-streetview.

Check out Christian's amazing fractal viewer which he made for the graphics in this video. Share your favourite coordinates in the comments! https://julia-to-mandelbrot.think.somethingorotherwhatever.com/?x=-0.8626&y=-0.2376

You know I'm at the Edinburgh Fringe and on tour again! https://standupmaths.com/shows

Here is Ben Sparks on Numberphile: https://www.youtube.com/watch?v=FFftmWSzgmk
And his Mandelbrot GeoGebra files: https://www.geogebra.org/m/BUVhcRSv

Here is the Matt Henderson tweet from 2020: https://x.com/matthen2/status/1249976386795630593

If you need more Julia Sets in your life, this video is excellent. https://youtu.be/dctJ7ISkU-4?si=v0OfPbd5bTN5vN4n

Huge thanks to my Patreon supporters. My gratitude to them is infinitely recurisve. https://www.patreon.com/standupmaths

CORRECTIONS
- At 02:32 I said that the complex locations was scaled so the height of the frame equals 2. For the examples on screen, we also made the width 2 by stretching it. But for actual pixel image transofrmations we used a linear scale for everything that made the height 2.
- Let me know if you spot anything!

Filming by Alex Genn-Bash
Editing by Gus Melton
Additional graphics by Christian Lawson-Perfect, Sam Hartburn and Ben Sparks
VFX by Fractal Matt
Written and performed by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/