Elliptic Curves as Art

I was prepared for disappointment, and instead found the procedures and results both beautiful and useful. That is, the authors present a visualization that preserves most of each curve's characteristics---at least the geometric ones. The underlying paper is an absolute joy to read: https://arxiv.org/abs/2505.09627

interestingly reminds me of what you can do with Structure Synth (https://structuresynth.sourceforge.net/) and Context Free Art (https://www.contextfreeart.org/), perhaps is a mathematical connection between these grammar-based formalism and the elliptic curves.

Very nice. The rendering makes them look like physical objects. It might be possible to 3D-print some of these in a semi-transparent material. That would be an instabuy for me.

Looking at these I can see how Nature is using a lot of elliptic curves to capture our attention. They are like flowers!

This looks fascinating—love the idea of turning abstract math like elliptic curves into visual art. Looking forward to seeing how the site develops! The blend of aesthetics and deep mathematics is such a cool approach.

I low key want to buy t-shirts of these now.

You should sell these cookies to mathematicians. I'm 100% sure they would love an elliptic curve.