Quasicircles and bounded turning circles modulo bi-Lipschitz maps
Quasicircles and bounded turning circles modulo bi-Lipschitz maps
We construct a catalog, of snowflake type metric circles, that describes all metric quasicircles up to bi-Lipschitz equivalence. This is a metric space analog of a result due to Rohde. Our construction also works for all bounded turning metric circles; these need not be doubling. As a byproduct, we show …