This book presents concisely the full story on complex and
hypercomplex fractals, starting from the very first steps in
complex dynamics and resulting complex fractal sets, through the
generalizations of Julia and Mandelbrot sets on a complex plane and
the Holy Grail of the fractal geometry - a 3D Mandelbrot set, and
ending with hypercomplex, multicomplex and multihypercomplex
fractal sets which are still under consideration of scientists. I
tried to write this book in a possibly simple way in order to make
it understandable to most people whose math knowledge covers the
fundamentals of complex numbers only. Moreover, the book is full of
illustrations of generated fractals and stories concerned with
great mathematicians, number spaces and related fractals. In the
most cases only information required for proper understanding of a
nature of a given vector space or a construction of a given fractal
set is provided, nevertheless a more advanced reader may treat this
book as a fundamental compendium on hypercomplex fractals with
references to purely scientific issues like dynamics and stability
of hypercomplex systems.
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