100,000 iterations of the Gauss Map
A 1-dimensional map with chaotic solutions for some parameter values. This shows the first circa 1,000 iterations, with value (x) on the vertical access) and "time" (strictly, iteration number, N) on the horizontal access, for a chaotic example. The colour of each marker is determined by a set of RGB triples. The R channel goes from 0 to 1 on the horizontal axis. The G channel cycles from 0 to 1 in 23 steps, repeatedly, hence not mapping to either axis. The B channel goes from 0 to 1 on the vertical axis.

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Gauss Mapping
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Gauss Mapping

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