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Home  >  Transasctions of NAMP VOL3

29. The Mathematics of Fractal Geometry Applied to Cantor Set by T.M. Gwary and H.M. Balami Transactions of NAMP Volume 3, (Jan. 2017), pp 233 – 236
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Abstract

Fractal geometry is the geometry of most objects occurring in nature. To describe complicated and unconventional geometrical objects like a tree, the coast of a river, the surface of the moon, cloud, mountain, and human brain we use fractal geometry. In this article we explore the properties of some fractal geometrical figures. In particular we discuss the methods of construction and peculiar mathematical features of the Cantor set especially the properties of self- similarity and fractal dimension.

Keywords and Phrases: Fractal Geometry, Cantor set, unit interval, middle third, fractal dimension, chaotic behavior

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