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Peter Karpov
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Forgot to mention, *ds* varies from 0 to 1. It is the fractional part of the scale exponents, so when it reaches 1 we have the same set of scales and a perfect loop. If there was an infinite number of layers, we could change *ds* from -inf to +inf.
This image will surely be familiar to many people on this forum: CMT = RGBColor /@ Drop[Import["http://inversed.ru/Blog/Colormaps/New_Laguna.csv"], 4]; CM[x_] := Blend[CMT, x]; n = 8; M = 2^n; ArrayPlot[ ...
Here is my function for phase unwrapping, just 1 line long: Unwrap[a_] := a - Tau Prepend[Accumulate[Round[Differences[a]/Tau]], 0];
Awesome, you should add those sequences to [OEIS][1]! [1]: http://oeis.org/