Why do all random graphs end up identical?

Jane Street’s Hong Kong internship is accepting applications now: https://jane-st.co/hkginternship26-SUM

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As well as calculating Pi on the Moon, I'll be back on tour again in the new year: https://standupmaths.com/shows

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CORRECTIONS
None yet, let me know if you spot anything!

Filming and editing by Alex Genn-Bash
Animations by Willow Marler
Written and performed by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson
Subtitling by r10pez10 and Sophie.Phierme

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