Quasicircles modulo bilipschitz maps.
We give an explicit construction of all quasicircles, modulo bilipschitz maps. More precisely, we construct a class of planar Jordan curves, using a process similar to the construction of the van Koch snowflake curve. These snowflake-like curves are easily seen to be quasicircles. We prove that for every quasicircle Γ there is a bilipschitz homeomorphism f of the plane and a snowflake-like curve S ∈ with Γ = f(). In the same fashion we obtain a construction of all bilipschitz-homogeneous Jordan...