15-year-old did mathematical research?! What was my thinking process back then?

Mathematical research can be accessible. This video series somewhat faithfully records the thinking process of a 15-year-old in his mathematical research. Although it turned out that someone had made a similar discovery, this independent and nontrivial discovery still stands to prove that mathematical research is not far-fetched.

Some useful links:

I hope this gives a bit of context behind the making of this video series. If you want more of these types of not-so-mathematical videos, please comment below to let me know.

Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels:

If you want to know more interesting Mathematics, stay tuned for the next video!

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#mathemaniac #math #mathematics #research #combinatorics #generalisation #catalan #catalannumbers #maths

[mathemaniac]

This is not clickbait! Check the link in the description to see what I wrote back then.
If you enjoyed this type of videos, please let me know because it is fun for me to make and I want to make some of these once in a while as well! If you don't like this type of videos, you can also let me know so that I would reduce the frequency of these types of videos.

[steve]

I'm 13 and I love your topics and works. Combinatorics stuffs are much harder than other stuffs I think... wow. :)

[bilubilu]

Really interesting puzzles, Btw I'm 15 now and that made me think about my math journey, I also did an website when I was 12 and now am learning calculus.
Awesome content. Congratulations and good luck.

[aviralsood]

This channel is so underrated. I really love your content.

[standowner]

I got into maths later than most (I was 17). What brought my curiosity was modern algebra and differential equations.

[yashagrahari]

Your contents are really as effective as those of 3 blue 1 brown or mathaloger .
You deserve more than million subscribers. Thank you so much.
May you progress a lot. Keep on.

[planaritytheory]

I really enjoyed this video, thanks for sharing your story.
I'm sure you realize by now that the entire purpose of such competitions is for people like yourself to have experiences like the one you described here.
It doesn't matter what mathematical modeling is (well, it's important that _some_ people care about it, but that doesn't have to be you), and the medals themselves are without a doubt the least important part of the whole thing.

You're on the right track (or, at least, _a_ right track)--just keep going!

[gregsouza]

As a 16 year old this video inspired me to work on the same problem. And I actually managed to prove an upper bound of cuberoot(7)^{(n+1)^2} SAW's on an n by n grid!

[aryankumarprasad]

I am 19, got admitted into a maths UG program yesterday and it maked my day

[meenaakshimunjal]

I am 15 and proved the inclusion exclusion principle on my own using induction.

[gashery]

Hey! This was a really nice presentation of an interesting question. Well done!

[benjaminojeda]

I really liked this video, it reminded me of when I was 14 years old and I became obsessed with mathematics, I was discovering new properties for myself, such as the polar formula of complexes or the generalizations of Pascal's triangle to higher dimensions, then I realized that they had already been discovered, anyway it was very fun, now I am studying mathematics and I am in the best stage of my life... :D

[feelfree.]

You are very talented! 😀👍🏼
Maybe the following will be interesting to you:
Find out how this sequence continues and look at the graph, when you keep summing those numbers (integrating the function several times):
+1, -1, -1, +1, -1, +1, +1, -1, ...

[ongmingyuan]

Sounds pretty sophisticated and original to me!!

[finnboltz]

Why did you lose the files of your maths website?

[JojiThomas]

This is also something I had also done. I meant the original work but figured out it was pretty much not original. So, I know how you feel.

Good video though

[gabitheancient]

that's the spirit, fuck real life, I want to solve random puzzles that are difficult and that probably have nothing to do with nothing

[arielfuxman]

Wow, probs. I am 16 and recently found some interesting result in analysis. Combinatorics is a hell of a topic, makes your brain hurt.

[Pete-Prolly]

It sounds like you were young, learning, etc., so I don't think you should be too hard on yourself; that's how you learn to do research as I understand it: by preparing. Remenber, NOONE was born with the answers; not your professors not people with the gold medals, not John Nash or Riemann or Russell or whoever your favorite "rock stars" of Math are. (Except for Ramanujan, lol, he may have been born with a direct line and an operator connecting him to every integer lol. (No, he worked hard.))

The best part is your enthusiasm and while you may have coveted the awards or recognition of "big time" Mathematicians, I would wager that there are far more of them who might covet and envy your enthusiasm!! I mean this sincerely.

Never stop loving that which you are passionate about!!!! 😀😀😀

[sgktroller]

I am also 15....and i love math very very much...
I also learnt calculus and then also tried providing a new formula for the reimanns hypothesis!