quasicircle
If f:ℂ→ℂ is a quasiconformal mapping with maximal dilatation of K, then f(S1) is called a quasicircle or K-quasicircle.
If f:ℝn→ℝn, for n>2 is a quasiconformal mapping with maximal dilatation K, then we call f(Sn-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 |