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The Fascinating Math behind Piston Extenders

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mattbatwings

This is my submission for the Summer of Math Exposition, hosted by @3blue1brown
https://some.3b1b.co/

Patreon:   / mattbatwings  
Discord:   / discord  
My socials: https://linktr.ee/mattbatwings
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World Download: (JAVA 1.18.2) https://www.planetminecraft.com/proje...

Piston Animations created by @Sloimay

0:00 Introduction
0:36 What is Minecraft?
1:42 What is a Piston Extender?
2:16 Problem Statement
2:35 Extension Sequences
8:51 Extension Optimality
9:13 Extension Parallelization
11:11 Extension Circuit
12:38 Retraction Sequences
16:15 Retraction Optimality
17:16 Retraction Parallelization
17:40 Retraction Circuit
18:52 Showcase
19:45 Thanks for watching!

Music (in order):
Patricia Taxxon Wavetable    • Patricia Taxxon  Wavetable (Title Tr...  
LAKEY INSPIRED Chill Day    • LAKEY INSPIRED  Chill Day  
Infraction Serotonin    • Vlog LoFi Chill by Infraction [No Co...  
Harris Heller Streamline    • Streamline  
Harris Heller Plethora    • Plethora  
Harris Heller Tokyo Rain    • Tokyo Rain  
Harris Heller Iridescent    • Iridescent  
Harris Heller Path Less Traveled    • Path Less Traveled  
Harris Heller In My Shadow    • In My Shadow  
Harris Heller 90's    • 90's  
Sascha Ende Finger ins Ohr    • Sascha Ende Finger ins Ohr  
JNATHYN Dioma    • JNATHYN  Dioma [NCS Release]  
Gucci Louis Rap Beat 2    • Gucci Louis  Rap Beat 2  
Mokka Only You and Me    • (No Copyright Music) Retro Synthwave,...  
Harris Heller Manhattan Project    • Manhattan Project  
Harris Heller Golden Age    • Golden Age  
Harris Heller Guilty Spark    • Guilty Spark  
Alexander Nakarada Favorite    • Favorite  
Infraction Sapporo    • LoFi Anime Fashion Chill by Infracti...  
JNATHYN Dioma    • JNATHYN  Dioma [NCS Release]  
Gee Electroswing Revival    • Gee  Electroswing Revival | royalty ...  
Jeremy Blake Heaven and Hell    • Heaven and Hell  
mellowind Bored || Vibin in the 80s    • Bored || Vibin in the 80s  

posted by Ziljan5z