I invented a NEW number system!

I can't guarantee that any of this actually works, but it was fun to mess around with. Happy new year everyone! I'm a bit late due to living in San Francisco, haha :V
69 and 420 were a bit too on the nose.

[@setredid]

I can only imagine this being used 200 years later for some 4d stuff

[@nbooth]

14 and 88 are unfortunate choices for the title card

[@Sage-v1c]

based and aryanpilled choices*

[@LordHogWaterer]

yeah wondering if that was on purpose lol

[@nbooth]

@LordHogWaterer I don't see anything in the video suggesting it was. Probably just a coincidence 🙂

[@LordHogWaterer]

@@nbooth yeah youre right i cant find any other dogwhistles

[@blacklistnr1]

Idea: what if you treat the bottom two quantity as single mass which is spread in two dimensions (let's say time and space).
So 1/(2, 5) would be 1 cookie spread across 2 children across 5 days.
You could introduce a division "unit" of 1/10 which describes the smallest piece of the original you need to carry out your division. It would allow grouping like 2/10 cookies per day.
Rotations and redistributions would be interesting under this too e.g. move 1/10 of a cookie from day 1 to day 2, or the deadline changed, it's now across 4 days, but what if first 2 days already passed? etc.
might be worth a try

[@bbuild9044]

For rotations we need more information because we must put the triangle into the triangle with also denominators and/or the top one being 1 what doesn't make any sense in this case. I can only imagine changing denominator 2 from 5 to 4 so we have to change the top to 8/10. And what gives that us. I would say nothing or nothing at the first sight. Could you imagine a scenario with the cookie example with rotations?

[@blacklistnr1]

​​@@bbuild9044There's a few types of rotations, but I think just two core ones:
- rorate bottom: 1 cookie across 2 children across 5 days becomes 1 cookie across 5 days across 2 children. It's basically just a regrouping where inner boxes and outer boxes are swapped
- rotate side: 1 cookie across 2 children across 5 days becomes 5 days across 2 children across 1 cookie, this is a perspective shift similar to km/hour vs hours/km
putting triangles in triangles quickly spikes the units complexity, there isn't a practical example that comes to mind

[@Somebody71828]

I can feel my brain growing from this video (I had a massive aneurysm)

[@johannesh7610]

Ok, looking forward to where this leads

[@LordCabbage-pl1ng]

W number system

[@kingvax064]

Can all dirational numbers be represented in decimal notation and belong to "R"? This would mean a decimal number on the numerator and two ones in the denominator. If the answer is yes, how would you operate this transformation?

[@naitsirhc2065]

The way youve defined things, I think a di-rational with all entries equal to "abc" is not the same as a dirational with all entries equal to 1.
Youll get 1/(abc) times the dirational with all entries equal to 1.
But I also dont understand how you got your rotation laws, so maybe i just dont understand your definitions.
I guess its just unclear to me what you're trying to do. Do you want:
(a,b,c) = a/(b c) ?
Or are you trying to define something else?

[@Qwertayguy]

for the algorithm. be seen

[@yiannchrst]

this triangle reminds me of the video "Triangle of Power" by 3blue1brown (th-cam.com/video/sULa9Lc4pck/w-d-xo.html)
It is quite different to what you are saying, but I'm telling you about it because I think you'll find it interesting since you like maths and it may give you some inspiration!
btw are the numbers on the thumbnail a dogwhistle? lol