1. The problem statement, all variables and given/known data I'm trying to find a function that map the exterior of a circle |z|>1 into the interior of a regular hexagon. 2. Relevant equations 3. The attempt at a solution I have tried mapping the exterior to the interior circle. Then mapping interior circle to the upper plane which then I have to map the upper plane to the interior hexagon using the Schwarz-Christoffel formula. I'm not sure if this is the right method but some help will be useful..