Numerical sequences that satisfy the Fibonacci numbers, ie 1 ... 618 or 0 ... 618 are infinitely many.
Fibonacci Spiral is not a full-fledged mathematical object, because it has no single point (the pole); all other mathematical spiral have it. Ugly curve unjustly received the name of the great mathematician Leonardo of Pisa - aka Fibonacci - not a smooth function
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In fact, the graph forms a piecewise integral unit made out of separate quarters of circles of different radii. In nature, these units do not exist