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: https://www.youtube.com/@ComboClass/p...

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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:    • You Can Now Mail Me Things to Put in ...  
Domotro
1442 A Walnut Street, Box # 401
Berkeley, CA 94709

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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.