This is my submission for the Summer of Math Exposition, hosted by @3blue1brown
https://some.3b1b.co/
Patreon: https://www.patreon.com/mattbatwings
Discord: https://discord.gg/V5KFaF63mV
My socials: https://linktr.ee/mattbatwings
My texture pack: https://modrinth.com/resourcepack/mattpack
World Download: (JAVA 1.18.2) https://www.planetminecraft.com/project/infinite-piston-extender/
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 https://youtu.be/p9zuIoJ-y3M
LAKEY INSPIRED - Chill Day https://youtu.be/3HjG1Y4QpVA
Infraction - Serotonin https://youtu.be/saNSLwgRkrw
Harris Heller - Streamline https://youtu.be/GB7SYPFs7QQ
Harris Heller - Plethora https://youtu.be/4U3iFdSyNuI
Harris Heller - Tokyo Rain https://youtu.be/WtOcNctiLfY
Harris Heller - Iridescent https://youtu.be/FWXzp8THOuc
Harris Heller - Path Less Traveled https://youtu.be/l_o56ny2aao
Harris Heller - In My Shadow https://youtu.be/Y2dk4PnO5lA
Harris Heller - 90's https://youtu.be/1Ct-kEcajJQ
Sascha Ende - Finger ins Ohr https://youtu.be/8jFDyrzU1Ag
JNATHYN - Dioma https://youtu.be/r2Ig85ycGKQ
Gucci Louis - Rap Beat 2 https://youtu.be/v7tiSGnGRlk
Mokka - Only You and Me https://youtu.be/a08OsBSt4cM
Harris Heller - Manhattan Project https://youtu.be/s02K_ofVPJc
Harris Heller - Golden Age https://youtu.be/Ws205UM0GzM
Harris Heller - Guilty Spark https://youtu.be/w9M1_ZoxP54
Alexander Nakarada - Favorite https://youtu.be/eDdEsfMBtFQ
Infraction - Sapporo https://youtu.be/l-QRgBonhCo
JNATHYN - Dioma https://youtu.be/r2Ig85ycGKQ
Gee - Electroswing Revival https://youtu.be/ZkkNgbkcvog
Jeremy Blake - Heaven and Hell https://youtu.be/IL5AhzUSVR4
mellowind - Bored || Vibin in the 80s https://youtu.be/LjwftaQchP4