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A deep dive into Arctan Straining in Super Mario 64, a method for performing perfect jumps from A to B in the shortest possible time allowed by the game's code. Discovered by the Tool Assisted Speedrun and A Button Challenge community a few years ago, it allows one to construct *The Iwerlipse*, the complete set of positions Mario can occupy while moving in the air. This is the first video to explain it in detail - we look at the proof, visualize it with animations, go through practical examples, and along the way, look at the history behind the discoveries. ------ Please donate for more videos and a personal shout-out in my next video: ------ https://buymeacoffee.com/omedas ------ Timestamps: ------ 00:00 Part 0: Introduction 04:05 Part 1: Basic Mechanism 07:35 Part 2: The Question 10:43 Part 3: update_air_without_turn 15:43 Part 4: Single Frame Proof 19:38 Part 5: General Proof 26:13 Part 6: The Iwerlipse 32:43 Part 7: Calculus of Variations 34:04 Part 8: Quartersteps 35:52 Part 9: Practical Demo 40:25 Part 10: XX.99 Trick 43:23 Part 11: Conclusion ------ Additional Notes: ------ Showing Iwer's proof and deriving the Iwerlipse equations (including superellipse exponent lookup table) https://drive.google.com/file/d/1xDmg... Showing Silverstrawb's proof https://drive.google.com/file/d/1df97... ------ Bibliography (in order of appearance): ------ [TAS] N64 Super Mario 64 "1 Key" • [TAS] N64 Super Mario 64 "1 Key" in 04:18.... Super Mario 64 Decomp https://github.com/n64decomp/sm64 SuperMario64 Technical Runtime Observer and Object Processor (STROOP) https://github.com/SM64-TAS-ABC/STROOP https://github.com/FramePerfection/ST... UncommentatedPannen - HMC Watch for Rolling Rocks 0xA • HMC Watch for Rolling Rocks 0xA UncommentatedPannen - LLL Elevator Tour in the Volcano 0xA • LLL Elevator Tour in the Volcano 0xA Pannenkoek2012 - Every Goomba Glitch in Super Mario 64 • Every Goomba Glitch in Super Mario 64 Ukikipedia https://ukikipedia.net/wiki/Iwerlipse Crackhex - Arctan straining tutorial for TASers / 2463407535 GRsmash - Saltiest Controller Spikes in Super Smash Bros • Saltiest Controller Spikes in Super Smash ... Pannenkoek2012 - Watch for Rolling Rocks - 0.5x A Presses [OUTDATED] • SM64 - Watch for Rolling Rocks - 0.5x A Pr... Tyler Kehne - JRB Blast to the Stone Pillar 0xA (Confirmed) • JRB Blast to the Stone Pillar 0xA (Confirmed) UncommentatedPannen - JRB Speed Conservation to Chest Star • JRB Speed Conservation to Chest Star UncommentatedPannen - TTC Pedro Spot on Pendulum Box • TTC Pedro Spot on Pendulum Box [TAS] N64 Super Mario 64 "all 120 stars" • [TAS] N64 Super Mario 64 "all 120 stars" i... UncommentatedPannen - TTM DR into Scale the Mountain Star Idea • TTM DR into Scale the Mountain Star Idea Tyler Kehne - 0xA Scale the Mountain DR Strat (New Fastest Strat) • 0xA Scale the Mountain DR Strat (New Faste... Krithalith - Carpetless Setup [SM64] • Carpetless Setup [SM64] SM64 Input Direction Lua https://github.com/mupen64/SM64LuaRedux Omedas - Solving BLJs in Super Mario 64 • Solving BLJs in Super Mario 64 ------ People: ------ Iwer Sonsch / @iwersonsch5131 bad_boot / @bad_boot Crackhex / @crackhex Krithalith / @krithalith Pannenkoek2012 / @pannenkoek2012 / @uncommentatedpannen Tyler Kehne / @tylerkehne