RecordNumber
1909
Author
Burns, Anne
Title of Article
Removing Tremas with a Rational Function
Title Of Journal
Bridges
Publication Year
2013
Page
95-102
Notes
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture , براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
Abstract
In his charming inimitable style, Benoit Mandelbrot, in his book The Fractal Geometry of Nature, describes the removal of “tremas”. Two examples of figures constructed by removing tremas are familiar fractals: carpets and gaskets. This paper will briefly describe the difference between a carpet and a gasket and then illustrate how the Julia set of a rational function can be a carpet, a gasket or another structure generated by “removing tremas”. An added bonus is beautiful images resulting from an imaginative assignment of color.
URL
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