Mappings between Disks and Polygons

25 Feb 2019

Tags: python , jupyter , geometry

Mappings between squares and disks have applications in computer graphics, and are interesting mathematically. Mappings between triangles and disks are less well-studied, but also interesting. Both can also be used as map projections in combination with a map projection from a hemisphere to a disk. In this Jupyter notebook, I implemented a bunch of mappings from disks to triangles and squares and calculated their area and conformal distortion.

Plots of the conformal mapping from the disk to a square or triangle.

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