Recent changes
Index, Glossary, etc
What is an IFS
Design of the XIFS Program
Techniques for designing IFSs
Rep-Tiles: A rep-tile is a plane figure which
tiles the plane and can be divided into several smaller copies of itself. From
this definition it can be seen that the simply connected attractor of any IFS
with a uniform measure and a similarity dimension of 2 is a rep-tile, and all
rep-tiles are attractors of IFSs. There an infinite number of rep-tiles, some
of which are shown on this page.
Other Tiling
IFSs: There are several classes tilings of the plane by attractors of
IFSs which are not tilings by single rep-tiles. These include tilings by
self-affine (but not self-similar) figures; tilings by a mixture of grouped
element fractals derived from a single base figure; and tilings by figures in
which not all copies are the same size.
Non-Tiling Polymers
Non-Self-Similar IFSs
First Order IFSs
Non-linear IFSs
Other Topics
© 2000, 2001, 2002 Stewart R. Hinsley