Schwarz-Christoffel Toolbox for conformal mapping in MATLAB
The SC Toolbox contains numerical routines and graphical interfaces to work with Schwarz-Christoffel conformal maps--those to regions bounded by polgons in the complex plane. Many map variations are present. The software has no requirements other than core MATLAB.
You might prefer to view the page at the File Exchange, where you can try the package out online without downloading and installing it.
For more details on the maps, see Schwarz Christoffel Mapping, by Driscoll and Trefethen. For a user's guide, visit https://tobydriscoll.net/project/sc-toolbox/.