
Gertrude Stein wrote "Rose is a rose is a rose is a rose." The trick of this phrase is using the
law of thricefold repetition, for emphasis of a particular point. However, a spiral is not a spiral is not a
spiral.

One of the better known geometric forms is the
Archimedean spiral, named after
Archimedes, the famous ancient mathematician. This form is found in windup
springs in mechanical toys and analog watches.

Another type of spiral, that is more frequent in Nature, is the
logarithmic spiral. The best visual

example of this type of spiral is the cut away section of the
Nautilus Shell. A special type of logarithmic spiral is the Fibonacci spiral, which is based on the
golden ratio. Many discussions have been made regarding artists having used in their
works an approximation of the golden ratio in order to make it more aesthetically pleasing.
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