# Snowballs are Quasiballs - Mathematics > Complex Variables

Abstract: We introduce snowballs, which are compact sets in $\R^3$ homeomorphic to theunit ball. They are 3-dimensional analogs of domains in the plane bounded bysnowflake curves. For each snowball $B$ a quasiconformal map $f\colon \R^3\to\R^3$ is constructed that maps $B$ to the unit ball.

Author: Daniel Meyer

Source: https://arxiv.org/