© Copyright 1994 Mario Hilgemeier
Fractals seem to provide a unifying metaphor for many phenomena in science, art, management and other disciplines. In this chapter, an informal collection of essays, I will show some structural similarities between DNA, the weather, robots and plants using "audioactive decay" as an example. The topic of aesthetics is also discussed. Finally, fractals are presented as a stage in the evolution of mathematical models of reality.
Circular diagram of iterated audioactive decay (Gleichniszahlenreihe)
Self-similarity of GZR at beginning and end shown by a Taiwanese study. Enables immediate computation without iteration (July 2005).
Henry Bottomley provides
Hilgemeier's Likeness Sequence, from The Teacher Handbook, an introductory exploration on how to do mathematics research (2003).
Have a look at chapter 4 of "FRACTAL HORIZONS: The Future Use of Fractals",
by Clifford Pickover, editor, St. Martins Press, 1996.
J.C.Sprott, The Computer Artist and Art Critic
Strange attractors - dimension and Lyapunov exponent as measure of aesthetics
Proof of Conway's lost cosmological theorem, a TeX article by Shalosh B. Ekhad, 1997-08-21
There is more on the net about the Maple package accompanying the above paper: HORTON modification by Doron Zeilberger, which can also be found at the ETH, Zurich
Conway's Constant, an article by Eric W. Weisstein in the online CRC Concise Encyclopedia of Mathematics
Another page on Conway's Constant 1.30... Gives the polynomial of which it is the largest zero (plus references and links).
Torsten Sillke's index of Martin Gardner's book with further references, 1998-04-22, gives several German journal references.
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