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Logarithmic Spirals

A sketch made as a GeoGebra companion to Vi Hart's video on spirals, to let anybody try to experiment with spirals by pitch and by how many fit around a circle. Her excellent video: http://www.youtube.com/watch?v=ahXIMUkSXX0 The wikipedia primer on logarithmic spirals: http://en.wikipedia.org/wiki/Logarithmic_spiral