@Mac Dude 

The background: It is about exploring conformal maps for aesthetic purposes and to integrate selected ones in my art processes [1] (batch runs needed).

The exploring part is done until now with the Java program ComplexMapStill.jar (https://karczmarczuk.users.greyc.fr/TEACH/InfoGeo/Work/ComplexMapStill.jar).
It allows to define conformal maps with a nearly text book syntax in a (bit buggy) GUI but it is not able to do batch processing.  (A Java programmer could use the given classes to make a command line program that I could call from my scripts).

Therefore I am looking for alternatives that could do this (see my ResearchGate question https://www.researchgate.net/post/What_software_environments_can_use_conformal_maps_for_image_distortion#view=578df213cbd5c24bf755e691).

An obvious possibility are Math environments like Mathematica (verified, see link in my original post), MatLab (verified, see replay to the ResearchGate question) and Maple.


[1] I integrate elements of Mathematical Art in my art processes for example:

- Polar transformation of euclidean pmm tiles: https://www.flickr.com/photos/gbachelier/albums/72157666728488375

- rotations symmetric approach of compositings with hyberbolic patterns that are generated of euclidean p3m1 tiles: https://www.flickr.com/photos/gbachelier/albums/72157671144353565