Liquid Math is an interactive simulator for reaction-diffusion systems. There are patterns in nature all around you that form spontaneously from surprisingly simple rules. Liquid Math uses reaction-diffusion systems to simulate the same sort of pattern formation that happens naturally in the raised edges of brain corals, pigmentation in animals with stripes, and more.

Think of this app like a sort of lava lamp that you control the behavior of. Or think of it as a drawing program that brings your brush strokes to life. Or think of it as an educational tool for linear algebra. It's up to you.

- 25+ reaction-diffusion styles to play with.
- Make your own styles. The mathematical models are completely customizable.
- Learn more about the mathematical models powering Liquid Math.
- Change the look with the alternate color themes and make your own with the theme editor

Liquid Math can produce very rapidly strobing images which may trigger seizures in those with photosensitive epilepsy.

What’s New

Version 1.4.1

Fixed crash when opening the internal wiki.

Ratings and Reviews

4.9 out of 5
8 Ratings

8 Ratings

AlanLaBudde ,

Still enjoying

I guess he must’ve added a new screenshot mode button because I don’t have problems with that anymore… A great program for using potential artwork in the potential artworks I seem to be coming back to it fairly often...Great work great fun

thnewlands ,


Great survey of reaction / diffusion techniques!! Really fun to play around with & pretty flexible.

Elikabeth ,

Neat but some issues...

The app crashes whenever I try to click the “i” button. :(

App Privacy

The developer, Jonathan Cole, has not provided details about its privacy practices and handling of data to Apple. For more information, see the developer’s privacy policy.

No Details Provided

The developer will be required to provide privacy details when they submit their next app update.


  • Family Sharing

    With Family Sharing set up, up to six family members can use this app.

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