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Applications of Fractals and Chaos presents new developments in
this rapidlydeveloping subject area. The presentation is more than
merely theoretical, it specifically presents particular
applications in a wide range of applications areas. Under the
oceans, we consider the ways in which sponges and corals grow; we
look, too, at the stability of ships on their surfaces. Land itself
is modelled and applications to art, medicineand camouflage are
presented. Readers should find general interest in the range of
areas considered and should also be able to discover methods of
value for their own specific areas of interest from studying the
structure of related activities.
This volume is based upon the presentations made at an
international conference in London on the subject of 'Fractals and
Chaos'. The objective of the conference was to bring together some
of the leading practitioners and exponents in the overlapping
fields of fractal geometry and chaos theory, with a view to
exploring some of the relationships between the two domains. Based
on this initial conference and subsequent exchanges between the
editors and the authors, revised and updated papers were produced.
These papers are contained in the present volume. We thank all
those who contributed to this effort by way of planning and
organisation, and also all those who helped in the production of
this volume. In particular, we wish to express our appreciation to
Gerhard Rossbach, Computer Science Editor, Craig Van Dyck,
Production Director, and Nancy A. Rogers, who did the typesetting.
A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction
Fractals and Chaos The word 'fractal' was coined by Benoit
Mandelbrot in the late 1970s, but objects now defined as fractal in
form have been known to artists and mathematicians for centuries.
Mandelbrot's definition-"a set whose Hausdorff dimension is not an
integer" -is clear in mathematical terms. In addition, related
concepts are those of self-similarity and sub-divisibility. A
fractal object is self-similar in that subsections of the object
are similar in some sense to the whole object.
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