Piston Extenders Follow-up: The Extension Sequence PROOF!

WATCH PART 1:    • The Fascinating Math behind Piston Ex...  
More about SoME3: https://some.3b1b.co/

Patreon:   / mattbatwings  
Discord:   / discord  
My socials: https://linktr.ee/mattbatwings
My texture pack: https://modrinth.com/resourcepack/mat...

Piston Animations created by ‪@Sloimay‬
Proofs:
https://imgur.com/a/o0km92o
https://imgur.com/a/doCovlx

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0:00 Part 1 in the description!
0:36 Better Extension Formula
3:39 Extension Optimality Proof
8:24 Extension Parallelization
9:19 Lower Bound Symmetry
10:21 Retraction Reversal
10:50 Retraction Parallelization
11:16 Subscribe!

Music (in order):
MDK - Jelly Castle    • ♪ MDK - Jelly Castle [FREE DOWNLOAD] ♪  
Harris Heller - Iridescent    • Iridescent  
Harris Heller - Guilty Spark    • Guilty Spark  
Harris Heller - Plethora    • Plethora  
Alexander Nakarada - Favorite    • Favorite - Alexander Nakarada  
Harris Heller - Path Less Traveled    • Path Less Traveled  
Harris Heller - Tokyo Rain    • Tokyo Rain  
Harris Heller - Golden Age    • Golden Age  
Harris Heller - Manhattan Project    • Manhattan Project  
Harris Heller - One More    • One More  
Harris Heller - Creator's Kingdom    • Creator's Kingdom  
Mellowind - Sleep    • Mellowind - Sleep