Filament

Robert P. Munafo, 2000 Jan 24.

Any contiguous subset of the Mandelbrot Set which consists of the infinitely convoluted and branching structures that connect the Island Mu-molecules to each other.

The filaments contain all the variety in the Mandelbrot Set. While the islands are extremely alike, the filaments attached to them are remarkably different. Any two filaments which appear alike actually contain many subtle differences.

Some of the most remarkable subtle differences in filaments are to be seen when investigating Embedded Julia Sets.

Some colloquial names for filaments: antenna, main antenna, spike, spoke.

See also exploring.


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

Creative Commons License This work is licensed under a Creative Commons Attribution 2.5 License .
WWW: http://www.mrob.com/
EMail: mrob at mrob com (If you aren't a spambot you can rewrite this yourself)
© 1996-2008 Robert P. Munafo.s.13