Post #2383679

2026-05-04 23:33 UTC

@matthewconroy@mathstodon.xyz Actually I was asking if you generated the image with some software or programming language or whatever. Now I'm also curious about what is an orthogonal differential equation. Is that something you build like orthogonal vectors, by replacing x with y and y with -x ? And looking at your image also makes me wonder if that could be the base for coherent noise generation. Take some differential equation, use part of the parameters as seed, and derive on the other ones to calculate the density of the function as the noise value at any given point. Thanks for asking about the earthquake. Everything has been quiet since then fortunately.

Replies (1)

@matthewconroy@mathstodon.xyz 2026-05-05 03:26

@baillehache_pascal@hachyderm.io I made it using Processing (simplified Java, basically). I used a Runge-Kutta method to create the curves. Yes, orthogonal is exactly as you said. Given a set of curves defined by differential equations dx/dt=f(x,y), dy/dt=g(x,y), we get orthogonal curves from dx/dt=g(x,y), dy/dt=-f(x,y). I don't know anything about coherent noise, so maybe? Glad the earthquake didn't cause problems. Cheers!

Open ##2383680