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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 triangle--you 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 mind-bending 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, up-to-date volume on fractals available today. [synopsis, amazon.com]


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