An Angle-preserving transformation. A similarity transformation has a transformation Matrix
of the
form

If is an Antisymmetric Matrix ( ) and is an Orthogonal Matrix, then

Similarity transformations and the concept of Self-Similarity are important foundations of Fractals and Iterated Function Systems.

**References**

Lauwerier, H. *Fractals: Endlessly Repeated Geometric Figures.* Princeton, NJ: Princeton University Press,
pp. 83-103, 1991.

© 1996-9

1999-05-26