On the interior of "Fat" Sierpinski triangles.

Plante, Donald.
2017-04-18T14:02:53.407Z

Abstract: For 0&lambda defined by the three maps fi=λI + pi in the plane, where p0=(0,0), p1=(1-λ,0), p2=(1-λ)(½,1). For &lambda=½ the attractor is the Sierpinski triangle. For λ in the intervals [.6439,.6441], [.6458,.6466], and [.6470,.6472] standard techniques for determining the Hausdorff dimension (or Lebesgue measure) of the "fat" Sierpinski triangle do not apply, a... read more

Subjects
Tufts University. Department of Mathematics.
Permanent URL
http://hdl.handle.net/10427/011496
ID: tufts:20971
To Cite: DCA Citation Guide