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[disambiguation needed] 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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