The Hausdorff Dimension of Hilbert's Coordinate Functions

  title={The Hausdorff Dimension of Hilbert's Coordinate Functions},
  author={Mark McClure},
We characterize the coordinate functions of Hilbert's spacelling curve using a directed-graph iterated function system and use this to analyze their fractal properties. In particular, we show that both coordinate functions have graphs of Hausdor dimension 3 2 and level sets of dimension 1 2 . 

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-2 of 2 references


Hans Sagan, Space-Filling Curves
New York, • 1994
View 4 Excerpts
Highly Influenced

On self-a ne functions.

Kon Norio Kono
Japan J. Appl. Math • 1986

Similar Papers

Loading similar papers…