Title

Sierpinski Pedal Triangles

Document Type

Article

Publication Date

6-1-2008

Department

Mathematics

Abstract

We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family of fractals we call Sierpinski pedal triangles. These fractals are obtained from a given triangle by recursively deleting the associated pedal triangles in a manner analogous to the construction of the ordinary Sierpinski triangle, but their fractal dimensions depend on the choice of the initial triangles. In this paper, we discuss the fractal dimensions of the Sierpinski pedal triangles and the related area ratio problem, and provide some computer-generated graphs of the fractals.

Publication Title

Fractals-Complex Geometry Patterns and Scaling in Nature and Society

Volume

16

Issue

2

First Page

141

Last Page

150