non-conformal mapping

(... or shown with the spread legs of Leonardo da Vinci's Vitruvian man :-)

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( horn tori even are good for jokes ... )

In the stadium of grasping the priciple of dynamic horn tori all considerations about static mappings from two-, three- or any-dimensional space onto the horn torus surface - conformal or others - have no relevance for and no connection to the model, on the contrary, they rather might lead into a wrong direction. This digression only shows the geometric figure in a detail and should not be incorporated into the cognitive process. First of all we primarily are interested in dynamic!
Later, long after one has found the appropriate image for complex numbers within the dynamic horn tori, mappings conceivably can be used to establish correlations between pure mathemathics and human perception of 'reality'.

font and image projections by artmetic graphic synthesizer