On the Dimension of Sierpinski Pedal Triangles
Document Type
Article
Publication Date
3-1-2009
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpinski petal triangles. We show that the dimension, ln 3/ ln 2, of the Sierpinski triangle is the strict minimal value of the dimensions among all Sierpinski pedal triangles associated with acute triangles.
Publication Title
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
Volume
17
Issue
1
First Page
39
Last Page
43
Recommended Citation
Ding, J.,
Li, Z.
(2009). On the Dimension of Sierpinski Pedal Triangles. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 17(1), 39-43.
Available at: https://aquila.usm.edu/fac_pubs/1145