Can a non-convex finite domain be conformally mapped to the unit circle?
I am interested in finding such map for this one: a square of length 1 with quarter circles of radius 1/3 removed from each corner.

Can a non-convex finite domain be conformally mapped to the unit circle?
I am interested in finding such map for this one: a square of length 1 with quarter circles of radius 1/3 removed from each corner.

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