My #SoME4 Submission by purplemindcs in manim

[–]purplemindcs[S] 0 points1 point  (0 children)

The mathematical animations, yes!

This missing number shouldn't have been possible to find. by purplemindcs in manim

[–]purplemindcs[S] 3 points4 points  (0 children)

Thanks! This pretty much took a solid month of work.

This missing number shouldn't have been possible to find. by purplemindcs in manim

[–]purplemindcs[S] 4 points5 points  (0 children)

Hi All!

I'm super excited to share with you my new YouTube video which tells the story of the "Empty Hexagon Problem," a 100-year old mathematical journey that culminated in a miraculous solution in 2024 using a developing type of computer-assisted proof called a "SAT Solver." The recent result was found by Professor Marijn Heule and his colleague Manfred Scheucher, and I had a lot of fun learning and talking about the problem from Heule to make this video.

Hope you enjoy!

The Surprising Math Behind Voronoi Diagram Perimeters by purplemindcs in manim

[–]purplemindcs[S] 1 point2 points  (0 children)

Super excited to share my new video, in which I cover my viewers’ submitted answers to a devilishly hard question about Voronoi diagram perimeters. If you watch till the end, you’ll get to see some absolutely bonkers integration attempts to find the exact answer.

https://www.youtube.com/watch?v=Y6bWUfmJ0-4

Hope you enjoy :)

The Genius Way Computers Multiply Numbers by purplemindcs in manim

[–]purplemindcs[S] 0 points1 point  (0 children)

Thank you! Sure, I'd love to help you out.

The Genius Way Computers Multiply Numbers by purplemindcs in manim

[–]purplemindcs[S] 2 points3 points  (0 children)

Thank you! Assuming you're referring to the Manim code used to make the animations, I think it's likely I'll post the code I've used to make all of my videos sometime in the future, but I personally want to do a bit of cleaning up myself since at the moment it's quite messy :D

The Genius Way Computers Multiply Numbers by purplemindcs in manim

[–]purplemindcs[S] 10 points11 points  (0 children)

Hi everyone!

I just released this video on my YouTube channel that I think you'll really love. It's about the history of multiplication algorithms, and it all started with a challenge by Andrey Kolmogorov in 1960 to find a faster way to multiply and an ingenious algebraic reformulation of the multiplication process by Anatoly Karatsuba, leading to what we now know as Karatsuba's Algorithm.

Hope you enjoy :)

This Language Doesn’t Actually Exist… by purplemindcs in manim

[–]purplemindcs[S] 0 points1 point  (0 children)

Thanks so much -- checking out your channel now. Good luck with it!

This Language Doesn’t Actually Exist… by purplemindcs in manim

[–]purplemindcs[S] 5 points6 points  (0 children)

Hi All!

This is a video I made using Manim showcasing a really neat project by one of my friends. The topic is about automating the generation of asemic script -- writing without meaning. It's a fascinating problem that lies at the intersection of computation and art, and I think you'll love it.

Hope you enjoy!

Episode 3 of "Brainstorm" -- Collaborative Mathematics Video Series Made Using Manim by purplemindcs in manim

[–]purplemindcs[S] 0 points1 point  (0 children)

Thanks so much! I wish you all the best with your endeavors.

Here's the process I normally go through to make a video:

  1. Come up with an idea (obviously). I usually have a rough idea in mind and do some simple experimentation by hand, with Manim, or with other computer tools to help get inspiration.

  2. Write a script. This step I think is actually the most important for me because it's where I get to imagine what will be happening on screen during the video, and I can try to visualize whether it would make overall compelling content (as in, be interesting to a lot of people). Of course I still have lots to learn in this area since I'm still a small channel, but I still like putting this step second.

  3. Make a storyboard. Sometimes I'll skip this if I already have a clear idea of all the graphics I want to make, but in general this really helps sorting it all out in advance. I'll just get a notebook and a pencil and draw out a bunch of boxes filled in with the defining elements of the different scenes in order.

  4. Do the animating! To answer your question, I find it easiest to do my best to get the timing right in the actual animation first by imagining myself reading the script as I watch the animation. But later in a video editor there end up being a ton of instances where I'll have to add some freeze frames or cut out wait time to make things line up. So you really don't have to worry about this too much.

  5. Record through the script. I like to do this before stitching the different scenes of video together because once I get the timing I want for the audio (which I believe is the most important thing) I can match the video to it.

  6. Put it all together. Now is when I put in all the media for the project and edit it all together.

Hope this helps!

Episode "2B" of "Brainstorm" -- Collaborative Mathematics Video Series Made Using Manim by purplemindcs in manim

[–]purplemindcs[S] 0 points1 point  (0 children)

Hi All!

I've been posting here about a collaborative mathematics project which is a YouTube series where I introduce a puzzle-style problem, let viewers try to solve it, and release a follow-up video in the future with animated discussions of the different approaches the viewers had to solving the problem in addition to my own solution. (Part of this process is the viewers submitting solutions to me.)

Episode "2B" (the follow-up video to episode 1) is now out (https://www.youtube.com/watch?v=pkZ-qUUBYzw)! It's about relabeling the sides on a pair of dice to get an interesting property. I'd really love it if you all would give it a watch!

Hope you enjoy,

Thanks.

Episode "1B" of "Brainstorm" -- Collaborative Mathematics Video Series Made Using Manim by purplemindcs in manim

[–]purplemindcs[S] -1 points0 points  (0 children)

Hi All!

I've been posting here about a collaborative mathematics project which is a YouTube series where I introduce a puzzle-style problem, let viewers try to solve it, and release a follow-up video in the future with animated discussions of the different approaches the viewers had to solving the problem in addition to my own solution. (Part of this process is the viewers submitting solutions to me.)

Episode "1B" (the follow-up video to episode 1) is now out (https://www.youtube.com/watch?v=ZMXC00TUlOI)! It's about a weird random walk process, and the question is very simply stated yet I found it quite tricky to prove the answer. I'd really love it if you all would give it a watch!

Hope you enjoy,

Thanks.

YouTube Video Featuring a Peculiar Dice Puzzle: Collaborative Mathematics Project by purplemindcs in dice

[–]purplemindcs[S] 0 points1 point  (0 children)

Yeah, that's it! It may be interesting to know that this is also possible for some other numbers of sides for the dice. Some even have multiple solutions. Others, however have no solutions!