I make math animations, primarily using ManimCE and DaVinci Resolve. My goal is to show how visual elements and the right perspective can help illuminate the "why" of a particular result.
To learn more about my other projects, notes, or how to contact me, visit web.stanford.edu/~truax/
Pacals triangle also represents how universe from 0 can ecome anything in 2d universe anyway. i thing we can call it primitive version of big bang functuion...
Dude - the music is way too loud with respect to the volume level of the narration. In fact why bother with the music at all? Let the content stand up on its own merits - we're not idiots.
8:00 This coordinate system just seems like a 2D projection of a Cartesian coordinate system onto a plane perpendicular to the viewing perspective where the Cartesian plane is not parallel to the viewing plane. In short: a modified set of basis vectors. 9:30 Binary answers the question: Is or is not? It’s a fundamental question applicable anywhere and in any subject. Everything is binary. 23:00 Sounds like saying “How many roots of 2 are found within an integer?” 30:00 Math is just the highest level of abstraction for all other subjects. It is interdisciplinary because it is the parent class for all other disciplines. 31:00 The process of discovering mathematical processes follows the Sierpinski’s Triangle. You take what you have learned from others, and you take one more step forward. You either find something (1) or you don’t (0). Thanks for the video.
This is nearly a year late, because I didn't realise this the first time I watched it, but 14:10 to 14:40 is incorrect. Consider at 14:17 the point (0.00011, 0.00011). This follows the rule that the first two digits after the point aren't both ones and the sum of the rest is no greater than a quarter. However, it clearly refers to a black point, in the very top black triangle. The rule you said for the next one breaks similarly for (0.000011, 0.000011). Actually, the rule you said at 14:22 applies to the figure at 14:15. For the 14:22 figure, the correct rule is that there are no two ones in any of the first FOUR columns after the point, and then the rest have to have sum at most one SIXTEENTH. I think you got it wrong because between 14:05 and 14:10 you skipped one of the iterations, the figure containing four black triangles, and the mistake carried on through to the next example as well.
Thanks a ton! Whenever I give whiteboard talks I like to do this, I think it's a low effort way to make your talks way way better. Not only does it make it flow better, it also gives a natural structure to the talk that allows people to "hop back on" if they "fall off the ride", so to speak. I think I learned it from an MIT OCW video on speaking.
Found the talk: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Unzc731iCUY.html I still haven't incorporated all the tips, but I think anyone who wants to get better at talking about technical subjects should watch it.
I think your waterfall coordinates are precisely the same as barycentric coordinates if you throw one of the three coordinates away. In terms of barycentric coordinates, then, a point is in the Sierpiński triangle iff in the nth position, exactly one of the nth bits of the three coordinates is a 1.
Some of the animations make the logic a bit harder to follow, because they don't consider at all what is actually the same as what. For example at 24:56, all the letters and symbols get smushed together and then redistributed every time, even though most of them are the same from step to step.
This is very true. I could've fixed it; unfortunately I rushed the ending since the deadline was coming up and did not perfect those details. Thanks for the feedback!
2 года назад
Nice intro picture! I knew immediately what it was (and then filled it in on paper to check). I kind of want to have that as a shirt, but I think nobody would understand it. :/ Edit: Also channel icon and TATTOO! That's some dedication to maths! :)
Hey they don't need to understand it. I've made plenty of math shirts. The trick is to not make them look like math shirts; then people come up and ask what your shirt is. They thought they were gonna talk about art and then -- boom -- math ambush.
I have known about this pattern appearing in multiple places in math for a long time, but it never occurred to me to ask why. Thanks so much for thinking to ask the question, discover the answer, then share with us in such a clear and elegant way.
Couldn't this be expanded to an nth dimensional variant by having n number of waterfall coordinates all with no same decimal place being 1 between them? And if so, what would a Serpentski's pyramid, or even a Serpentski's... err, hyper-pyramid?.. Hyperpyramid look like?
How the hell do you know any event will happen with probability 100 percent with infinte chances..you don't lnow that for sure and there's no evidence..SOME events woth nonzero probability yes, but certainly not any or all..
Truly amazed by this wonderful video. It had a lot of beautiful concepts which I was completely unaware before watching this video (like waterfall coordinate system, serpenski's triangle, 2-adiac valuation). And you managed to explain all of them so elegantly, that I am still in awe. Thank you so much for this wonderful video. It is the best Maths video I have seen on RU-vid.
