Eadem mutata resurgo

Eadem mutata resurgo is a Latin phrase that literally translates to "Although changed, I arise the same".

The word-for-word translation of the phrase is The sense is better rendered in English as "I rise again changed but the same".

The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family.

[1] The logarithmic spiral frequently appears in biology, such as with the curves of the Nautilus shell.

[1] The College of St Hild and St Bede at the University of Durham adopted this phrase for its motto; it hangs in the Vernon Arms (the Vern).

A "seahorse tail" section from the Mandelbrot set that follows a logarithmic spiral 's shape.