In the new video today, I posted a challenge at the end of the video, but there is a secret. The "rotation" proof doesn't work in general (watch closely in the last animation to see why), but there is still a nice way to compute the geometric series in the rectangle... can you figure it out?
https://youtu.be/TT4-VWjyozY
What's the base ten representation of the number (4,3,2,1)_! written in the factorial number system? See this video (https://youtu.be/FE0Vl4zm20I ) to learn more.
Hey visualizers! My last two shorts kinda bombed out. The first one I get because it is one of a four-part series about the same result, but can any of you help me figure out why this Fibonacci identity short didn't do so well?
youtube.com/shorts/lk310mk01OU
Thanks!
This interview with with short-form math creators @tibees , @HowieHua1 , and @Ayliean is available for free until the end of the month. Check it out!
www.tandfonline.com/doi/full/10.1080/10724117.2024…
Posted an improved animation of the sum of cubes - wondering if you prefer narration or not? Here are the two versions:
New: youtube.com/shorts/O_5CnZh-G7Q (no words)
Old: youtube.com/shorts/SZsMVGqUiic (with narration)
What was the best dodecagon area proof?
Last Friday I posted I compilation video of four regular dodecagon area proofs (in a unit circle). I wonder which one you like the best?
https://youtu.be/I5IrNug26S8
Thanks as always for watching and for your support!
Happy Pi day all! I recently posted four Pi-related shorts and then a Pi video today (all linked below). Which is your favorite?
Circle Areas: youtube.com/shorts/1zHfp20jn4c
False Proof that Pi = 2: youtube.com/shorts/_0RLAnO53Ao
Pi^2/6 approximation from gcd: youtube.com/shorts/FFCDmDqTyjI
e^pi vs. pi^2: youtube.com/shorts/WrlngkU82Jc
Five Pi Formulas: https://youtu.be/hZDXA1R8dkA
Thanks for watching!
New short combines two classic visualizations for circle area. I’m always curious: which one do you like better?
youtube.com/shorts/1zHfp20jn4...
Hi Visualizers,
Been a bit busy lately and so this week I only have a Lunar New Year video showing the Dragon curve created by "unfolding." There are many other videos like this out there, but I gave it a go in honor of the year of the dragon and to add to my collection. Tell me, which of the Dragon curve videos that I have done is your favorite?
Unfolding: https://youtu.be/yDHX3JytTOo?si=BfrfX...
L-System: https://youtu.be/8Q_zuRKKh2g?si=DzI_8...
Replacing Line Segments: https://youtu.be/-sad-hmgZIs?si=vcVeo...
Happy New Year all! This is our only tetrahedral new year. The last was 1771 and the next will be 2300. There’s a beautiful formula for tetrahedral numbers, which you can find on my channel under “summing triangular numbers.” Hope 2024 is as awesome as this stack of 2024 cubes : youtube.com/shorts/eYdSIhv0Bq...
I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved.
I often pay homage to Proofs Without Words by including some animations without narration (only dramatic music :) ). I have also noticed that while there are many wonderful visual proofs available on YouTube, most of the creators do not credit the original visual proofs. I will do my best to include links and citations for each visual proof so that you can track down the original static images, which have a beauty and a wonder all their own.
I create my animations using the amazing software Manimgl from 3Blue1Brown.
If you want to buy me a coffee, you can do that here:
www.buymeacoffee.com/VisualProofs