On the interior of "Fat" Sierpinski triangles.

Plante, Donald.

2012

Description
  • Abstract: For 0<λ<1 we consider the compact invariant set ("attractor") of the iterated function system F&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 dimensio... read more
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