Continent

Robert P. Munafo, 1999 Jan 29.

Name for the largest mu-molecule in the Mandelbrot Set, consisting of the largest mu-atom (the main cardioid) along with all mu-atoms that are connected to it directly or through other mu-atoms, but not through filaments.

This use of the word 'continent' was introduced by Benoit Mandelbrot in his description of the Mandelbrot set in The Fractal Geometry of Nature.

The continent is not the entire Mandelbrot Set, because it does not include the island mu-molecules or the filaments.

The area of the main cardioid is approximately 1.50504, as computed by Jay Hill on his web page http://www.geocities.com/CapeCanaveral/Lab/3825/Period-Area-16.html See also area of the Mandelbrot Set.


From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index

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