Pure Fourier series animation montage

691K views · 7 years ago · animation · evergreen

A roughly 12-minute montage by 3Blue1Brown of Fourier series animations, in which chains of rotating circles trace out drawings. It is a visual piece to watch rather than a lesson.

HN people share it as the hypnotic, oddly satisfying version of Fourier epicycles, often next to their own epicycle projects.

“Here's a hypnotic version with one sum”

4 comments from Hacker News

l
@lordnacho2020 · in “My Fourier Epicycles”
Here's a hypnotic version with one sum: ▶ this video
RecommendsView on HN
p
@peter_d_sherman2019 · in “Pure Fourier series animations for 12 oddly satisfying minutes”
Submitted the video to Hacker News.
RecommendsView on HN
e
@espeed2019 · in “Pure Fourier series animations for 12 oddly satisfying minutes”
Submitted the video to Hacker News.
RecommendsView on HN
p
@phqb2022 · in “Show HN: I made a WebGL-based app that traces images using circles”
I was fascinated by this [0] and this video [1]. After many struggles, I finally built this app that traces images using circles similar to what these videos had shown. The most challenging part (to me) is to find a way to convert images to vector lines. I had tried Potrace, but its output is not suitable for my use case: too many small elements share the same border. Potrace's goal is to represent the original image faithfully using vector lines. But I want to trace the image edges. After searching and trying some Potrace alternatives in vain, I finally found my keyword. Surprisingly (to me), it lies at the end of the wiki page of the very topic [2]. Then I found a paper [3] that has nice pseudocode and a C implementation. I rewrote the pseudocode in Rust because I wanted to experiment with rustwasm. Honestly, I didn't care much about the math behind it. From then, I could continue to finish the app and show it to the world. This app is also my chance to learn about rustwasm and WebGL. FYI: this app is offline-only; your images never leave your browser [0] link [1] ▶ this video [2] link [3] link
CitesView on HN