I Found a Simple Pattern That Encodes Different Bases

While I was trying to invent a card game recently, I stumbled into some questions/answers that I realized were describing patterns about other numeral bases! Let me show you about something I call “numberations“: 0:00 - Part 0: Introduction 1:48 - Part 1: What Are Numberations? 4:43 - Part 2: Visualizations of Doubling 8:11 - Part 3: Visualizations of Tripling 10:37 - Part 10: Converting to Other Bases 13:15 - Part 11: Finding the Missing Numbers 15:48 - Part -1: Base Ten and Stranger Bases 20:31 - Part -2: Outroduction (I’ll add more applicable links to episodes I’ve made about bases here soon. If you’re curious in the meantime, you can scroll through my Grade -1 and Grade -2 playlists for episodes with “base“ in the name. And if you’re curious about the livestream where I accidentally lit myself on fire, see the “live“ tab on my @Domotro channel.) Disclaimer: Do NOT copy any dangerous-seeming actions you may see in this video, such as any actions related to fire. Note: although I did discover/realize all of the things in this episode myself, I’m sure other people have noted similar things throughout the history of mathematics. Since my description/visualization is slightly different than other ones I’ve encountered, I nicknamed the seeds of these patterns “numberations“. I think it’s a useful term; do you think we could ever get it into a dictionary? Make sure you’re also subscribed to my @Domotro channel for bonus content! And if you need to catch up on any Combo Class episodes, I’ve now made playlists of each whole “Grade“ in chronological order: @ComboClass/playlists Special thanks to all of my supporters on Patreon. Supporting the show not only helps me keep improving my content, but also lets me avoid putting any product placements in episodes. Brands (not the company that makes Connect 4 haha) have offered me money for me to advertise them during an episode on this channel but I want to avoid that unless/until necessary, so thank you to all of these supporters who keep our Grade -2 episodes from having any product placements in them! Evan Clark, Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, The Green Way, Julian Zassenhaus, Bailey Douglass, Jan Bosenberg, Brooks Boutwell, David Irvine, qe, George Sharabidze, Jack Dwyer, Fredrik, and Dave Brondsema! If you want to help support this channel (and get your name on that list) and get some bonus content, check out the Patreon here: If you want to mail me anything (such as any clocks/dice/etc. that you’d like to see in the background of Grade -2), here’s my private mailbox address (not my home address). If you’re going to send anything, please watch this short video first: Domotro 1442 A Walnut Street, Box # 401 Berkeley, CA 94709 Combo Class Discord server: Subreddit: If you want to try to help with Combo Class in some way, or collaborate in some form, reach out at combouniversity(at)gmail(dot)com In case anybody searches any of these terms to learn about them, some topics in this video include: number theory, whole numbers, integers, base 2 / base two / binary, base 3 / base three / ternary, balanced ternary / balanced base 3, base ten / decimal, other different numeral bases and number systems / representations of numbers, a pattern I nicknamed “numberations“, more! This episode was directed/edited/soundtracked by me (Domotro) and was filmed by Carlo Trappenberg.