# quasicircle

If $f:{\mathbb{C}}\rightarrow{\mathbb{C}}$ is a quasiconformal mapping with maximal dilatation of $K$, then $f(S^{1})$ is called a quasicircle or $K$-quasicircle.

If $f:{\mathbb{R}}^{n}\rightarrow{\mathbb{R}}^{n}$, for $n>2$ is a quasiconformal mapping with maximal dilatation $K$, then we call $f(S^{n-1})$ a quasisphere or $K$-quasisphere.

An example of a quasicircle is the famous Koch snowflake.

 Title quasicircle Canonical name Quasicircle Date of creation 2013-03-22 14:10:41 Last modified on 2013-03-22 14:10:41 Owner jirka (4157) Last modified by jirka (4157) Numerical id 5 Author jirka (4157) Entry type Definition Classification msc 30C62 Classification msc 30C65 Synonym quasisphere Synonym K-quasicircle Synonym K-quasisphere Defines quasicircle Defines quasisphere Defines K-quasicircle Defines K-quasisphere