What could be the equation of this curve?

36 Views Asked by Bumbble Comm At 01 Apr 2026 - 5:12

Does anyone have an idea what (parametric) equation might give a plot like this?

This is in the XY plane. I want to render it nicely on Mathematica, hence why I need the equation.

So far I came up with $\{t*\sin[t/2], \cos[t/2]\}$ which seems to be on the right track but doesn't quite do what I want...

There are 2 best solutions below

Bumbble Comm On 18 Dec 2018 - 5:04 BEST ANSWER

ParametricPlot[(1 + .1 Sin[θ/2 - π/4]) {Cos[θ], Sin[θ]}, {θ, 0, 4 π}]

Bumbble Comm On 18 Dec 2018 - 5:23

If you don't need perfect circles, maybe: