Sierpinski carpets as Julia sets for imaginary 3-circle inversions

Daniel M. Look

Sierpinski carpets as Julia sets for imaginary 3-circle inversions

2010

Daniel M. Look

The dynamics of the map is investigated for . This map is derived from multiple geometric circle inversions. Conditions are given for Cantor set and Sierpinski curve Julia sets for this family.

Keywords:

Cantor set
Mathematical analysis
Geometry
Menger sponge
Mathematics
Sierpiński curve
Inversive geometry
Sierpinski triangle
Filled Julia set
Julia set
Topology
Sierpinski carpet

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