Fractals and Multifractals


Aims and Objectives

• To provide a brief introduction to fractals.

• To introduce the notion of fractal dimension.

• To provide a brief introduction to multifractals and define a multifractal formalism.

• To consider some very simple examples.

On completion of this chapter, the reader should be able to

• plot early-stage generations of certain fractals using either graph paper, pencil, and rule, or the Maple package;

• determine the fractal dimension of some mathematical fractals;

• estimate the fractal dimension using simple box-counting techniques;

• distinguish between homogeneous and heterogeneous fractals;

• appreciate how multifractal theory is being applied in the real world;

• construct multifractal Cantor sets and Koch curves and plot graphs of their respective multifractal spectra.


Chaotic Attractor Iterate Function System Multifractal Analysis Multifractal Spectrum Graph Paper 


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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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