Monday, February 15, 2010

Spirals

Archimedean spiral
It is the locus of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotates with constant angular velocity.

Applications

scroll compressor (also called spiral compressor, scroll pump and scroll vacuum pump) is a device for compressing air or refrigerant.

Hyperbolic spiral

A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation = a, and is the inverse to the Archimedean spiral.


Fermat's spiral

Fermat's spiral, also known as the parabolic spiral, is an Archimedean spiral with m=2













Logarithmic spiral


A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curveDescartes and later extensively investigated by Jakob Bernoulli, who called it Spira mirabilis, "the marvelous spiral".
which often appears in nature.

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