# Continuous Dwell

Robert P. Munafo, 2008 Mar 17.

A method of calculating dwell that gives a continuous value, i.e. a value that varies smoothly rather than jumping from one integer to another. This allows for more variety in coloring algorithms.

The simplest method is to choose a large escape radius, then perform
the ordinary iteration algorithm. Let Z_{n} be the value of
the iterate that exceeds the escape radius. The normal dwell
value would be n (as shown in the pseudo-code in the escape-iterations
article). The "continuous dwell" value is given by

D = n + log_{2}(log_{2}(|Z_{n}|)) - log_{2}(log_{2}(EscapeRadius))

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2018. Mu-ency index

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2018 Feb 04. s.11