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ISCS 2013: Interdisciplinary Symposium on Complex SystemsThe Complex Geometry of the Mandelbrot Set

ISCS 2013: Interdisciplinary Symposium on Complex Systems: The Complex Geometry of the Mandelbrot... [In this paper, we give a brief overview of the geometry of the Mandelbrot set. We show how to distinguish each of the principal bulbs hanging off the main cardioid of this set by counting the spokes of the antennas attached to each bulb. We also use these antennas to attach a fraction to each such bulb, and this then indicates how these bulbs are arranged around the boundary of the main cardioid.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

ISCS 2013: Interdisciplinary Symposium on Complex SystemsThe Complex Geometry of the Mandelbrot Set

Part of the Emergence, Complexity and Computation Book Series (volume 8)
Editors: Sanayei, Ali; Zelinka, Ivan; Rössler, Otto E.
Devaney, Robert L.
ISCS 2013: Interdisciplinary Symposium on Complex Systems — Feb 16, 2014
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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2014
ISBN
978-3-642-45437-0
Pages
3 –8
DOI
10.1007/978-3-642-45438-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[In this paper, we give a brief overview of the geometry of the Mandelbrot set. We show how to distinguish each of the principal bulbs hanging off the main cardioid of this set by counting the spokes of the antennas attached to each bulb. We also use these antennas to attach a fraction to each such bulb, and this then indicates how these bulbs are arranged around the boundary of the main cardioid.]

Published: Feb 16, 2014

Keywords: Mandelbrot set; Julia set; Fatou set; Complex dynamics; Fractal; Farey addition; Quadratic dynamics

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