Logarithmic spiral

A spiral that crosses every ray from its centre at the same angle, so turning it about the centre is the same as scaling it. Jacob Bernoulli called it spira mirabilis and had it carved on his tomb in Basel with the words eadem mutata resurgo, though the mason cut an Archimedean spiral instead.

r = ae^(kφ)

On mathcurve.com as Spirale logarithmique