Eadem mutata resurgo
Eadem mutata resurgo (Word-for-word translation: Same having-changed I-rise) is a Latin phrase that literally translates to "Although changed, I arise the same" or "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, and appears on his tombstone in Basel. Bernoulli was referring to the fact, that the logarithmic spirals are self-similar, meaning that upon applying any similarity transformation to the spiral, the resulting spiral is congruent to the original untransformed one. The logarithmic spiral continually appears in nature, such as with the curves of the Nautilus shell.
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