Sierpinski Pedal Triangles
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.
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
(2008). Sierpinski Pedal Triangles. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 16(2), 141-150.
Available at: http://aquila.usm.edu/fac_pubs/1514