Hi there, this is my first time posting so forgive any indiscretions on my part.

 

I was wondering what the name of the attached geometric curve is? It was produced by a population of bots in a exploration simulation I am running using neural nets. To me it looks like a dimpled limaçon, but with two inner loops instead of one. If the curve has a name, or a defining formula, I would greatly appreciate it.

I'd say looped limacon; not dimpled. It almost looks like the loop is a smaller and inverted looped limacon itself. A fractal perhaps?

Edited April 24, 201510 yr by Acme

Ah, I meant looped then. And that's a good idea. I'll rerun the population with a larger environment and population to see if I can get several inversions.

Ah, I meant looped then. And that's a good idea. I'll rerun the population with a larger environment and population to see if I can get several inversions.

Kewl! By all means post the result.

if the simulation is symmetric and finite, it is the superposition of 2 curves, resembling a spiral.

Edited April 24, 201510 yr by michel123456