Media Hunt #1: Chaotic Spirals

These pictures are from Wolfram Demonstrations Project ( They are demonstrations of what J.P. Davis explains in his book Spirals: From Theodorus to Chaos. Essentially, the spirals are created by plugging in complex numbers for a and b. When a=1 and b=i, you get the discrete spiral. However, when a and b are changed slightly, different spirals result (as evidenced above).  This is an example of order arising from chaos because the dots are plotted chaotically but always end up creating a spiral (although the specifics of the spiral differ). The system is dependent on the initial conditions of what a and b are.

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