

Fractals

Polyhedra 
Tiling &
Symmetry 
Fractals 
General Interest

Fractal Geometry of Nature,
by Benoit B. Mandelbrot
Imagine an equilateral triangle. Now, imagine smaller equilateral triangles
perched in the center of each side of the original triangleyou have a Star of
David. Now, place still smaller equilateral triangles in the center of each of
the star's 12 sides. Repeat this process infinitely and you have a Koch
snowflake, a mindbending geometric figure with an infinitely large perimeter,
yet with a finite area. This is an example of the kind of mathematical puzzles
that this book addresses.
The Fractal Geometry of Nature is a mathematics text. But buried in the
deltas and lambdas and integrals, even a layperson can pick out and
appreciate Mandelbrot's point: that somewhere in mathematics, there is an
explanation for nature. It is not a coincidence that fractal math is so good at
generating images of cliffs and shorelines and capillary beds. [review, amazon.com]

Fractals
Everywhere, by Michael F. Barnsley
The new edition features additional problems and tools emphasizing fractal
applications, as well as a new answer key to the text exercises. Fractals
Everywhere is the most comprehensive, uptodate volume on fractals
available today. [synopsis, amazon.com]


