Graphics Reference
In-Depth Information
ilarity dimension are the same in certain situations, is an immediate consequence of
Theorem 22.4.7.
22.4.8 Corollary.
Let ((
R
n
,d),W) be a totally disconnected IFS where the elements
of W are similarity transformations. If
A
is the attractor of this IFS, then
dim
A
=
dim
A
=
dim
A
.
F
H
S
This finishes our brief overview of iterated function systems. It should have at
least given the reader an idea of how one can compute fractals very easily and the
kind of mathematics that is involved in
proving
the properties that one hopes to be
true.
