Wednesday, August 20, 2008

Tragic Logarithmic spiral

Path of an insect flying to a candle is a logarithmic spiral.
It's defining property is angle to the line from centre [candle] and tangent of insect path [instantenous direction of velocity] is constant.
r = ae^bt
t - is an angle.
The reason is they are used to doing this from old times when only sun and moon was there, in which case it led to straight line path.
Unfortunately not anymore, after this species called homo sapiens usurped the planet.
http://en.wikipedia.org/wiki/Logarithmic_spiral

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