Cosmatesque VS liqvid

Here's an associated fractal-making program I wrote in Python with more explanation, if you're curious.

To give you a sense of what I'm talking about, here's a link to a GitHub page where I put my Python code for a particular project alongside an explanation of the program and the underlying mathematical entities.

If you do things like this in two dimensions (or more) you can generate fractals. I wrote a bit more about it here — skip right to the gallery here — but the general idea is that you start with the number 1 in the corner, apply a rule that determines the number in each new cell in terms of "previous" cells, and color-code the results.

I finished my master's thesis this semester, exploring connections between recurrence relations and fractals. Variations on how Pascal's triangle modulo 2 reproduces the Sierpinski triangle, basically. (Here's a little more explanation on a GitHub page I made to share a Python program that can explore simple versions of these phenomena.)

Here's a nice GUI'd version of a program that I used for my master's thesis research. The topic is the connection between certain recurrence relations and fractals. You can see a little more explanation on the GitHub page if you're curious.

I've been interested in a particular fractal-generation method for a while and just finished my master's thesis on the subject. I decided to make and share an interactive version of the picture-making program I used so I can spread my fascination. In short, these are all variations on how color-coding the odd and even entries of Pascal's triangle generates the Sierpinski triangle fractal. I have a bit more explanation on the GitHub page.

Liqvid, the animation library I developed to make those videos

If you'll excuse the self-promotion, my library Liqvid can be used in conjunction with these to create full-length videos that your viewers can interact with in real-time. For instance, I taught a full vector calculus course using it.

Really cool! You might be interested in my software Liqvid for making interactive videos. I created it specifically for my math videos. I haven't used it for talks yet, but I have used it for teaching: MATH 180 Vector Calculus.

Web development has been my main hobby for the past 17 years so pretty good at that stuff, cf Liqvid and Epiplexis. Abstract math helps with designing libraries, being able to think at multiple levels of abstraction. Currently looking to leave math academia for ed tech.

https://liqvidjs.org/ :)

You should take a look at Liqvid, a library I built for making interactive videos. It has lots of math features, e.g. see https://www.math.brown.edu/ysulyma/f21-math180/ for a full vector calculus course taught using this tool. When I get a chance I'll take a look at embedding Cubecubed within it.

The interactive video framework is Liqvid. For the 3d graphics I used THREE.js along with react-three-fiber.

Videos are done with Liqvid and react-three-fiber. If you enjoy please retweet (quote-tweeting is better) https://twitter.com/YuriSulyma/status/1468569247626506240 to help spread the word :)

Liqvid with THREE.js for graphics