Transformation by Hausdorff dimension

Could Audacity define waveform deformation or spectral deformation function based on Hausdorff dimension?
(https://en.m.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension)


For example, if we extract waveform frequencies or their subsets or something else, could we do Cantor set transformation of the sound, or Julia set transform, or logistic transform

…?

Sure, but you would have to program that yourself: https://manual.audacityteam.org/man/nyquist.html