It amazes me to no end that symbolic mathematical equations and biologically embodied patterns can be isomorphic! Here is an amazing environment to play with Turing patterns from Karl Sims:

Turing patterns were devised by Alan Turing — the famous computer scientist who cracked Enigma code in WWII — as an approach to understand biological pattern formations using Reaction Diffusion equations!

I am getting more questions on what exactly we are seeing. If you want a quick overview, here’s a 90 seconds video by @teammonsterbox on what Turing patterns are:

This beautiful animation by @zzznah is what made me recall and post up this Karl Sims demo. If you guys loved the video, you might also enjoy the Lenia demos: Here’s the Lenia website by @BertChakovsky:

@zzznah @BertChakovsky An amazing outcome of this tweet going viral was me finding out the work of @BlindMath @bj_w95 and @Pecnut. They have made this amazing environment to explore PDEs visually!

@zzznah @BertChakovsky @BlindMath @bj_w95 @Pecnut Thanks to @aaronas700 for sharing this mesmerizing video he created with the RD Tool! Sooo good:

@zzznah @BertChakovsky @BlindMath @bj_w95 @Pecnut @aaronas700 Curating some related math tools that I might put together as a catalogue some time. Here’s an awesome pattern generator by @aatishb:

@zzznah @BertChakovsky @BlindMath @bj_w95 @Pecnut @aaronas700 @aatishb This is amazing! @amrdesignz created a reaction diffusion generator in Blender!

@Astragalus This has a great interface to it! Check it out @bj_w95. The Gray-Scott model, and people like this implementing it in web browsers, is what led us to make to explore quite a lot of systems including and beyond Gray-Scott/RD models.

@Astragalus @bj_w95 cc @elzr @metadiogenes @DrYohanJohn @maxkriegers @keenanisalive @szymon_k @robertghrist @disconcision Check out this amazing visual teaching environment!

Mind breaking down what I’m looking at/what you mean?