Robert P. Munafo, 1999 Oct 20.
For a shape F embedded in D-dimensional Euclidean space SD, define the measure Me to be
Me = eD Ne
where e is an arbitrary small quantity (an "epsilon" value) and Ne is the minimum number of points in the space SD such that every point in F lies within a neighborhood of radius e of at least one point. Then the Hausdorff dimension of F is
lime->0 [ ln(Ne) / ln(e) ]
See also Delta Hausdorff Dimension.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2023.
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2002 Apr 14. s.27