Dimensions of Points in Self-similar Fractals

We use nontrivial connections between the theory of computing and the finescale geometry of Euclidean space to give a complete analysis of the dimensions of individual points in fractals that are computably self-similar.

• Type: Conference
• Year: 2008
• Where: COCOON
• Authors: Jack H. Lutz, Elvira Mayordomo
• Keywords: COCOON 2008, Combinatorics, Euclidean Space, Finescale Geometry, Nontrivial Connections