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Topic: Fractals
Replies: 29   Last Post: May 9, 1995 10:14 AM

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Steve Means

Posts: 60
Registered: 12/3/04
Re: Fractals
Posted: May 4, 1995 3:04 PM
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Andre TOOM suggests we cannot talk about fractals without the coordinate
system, logs ...

Why not? Peitgen's book Chaos and Fractals is 984 pages long and only
mentions power laws in section 4.2. He does use a log/log diagram
there. It seems to me that other approaches to fractals like
self-similarity can be used to talk about fractals. Like when does
self-similarity lead to a fractal and when not?!

Peitgen manages to talk about the Sierpinski gasket for 200 pages before
using logs to discuss dimensions. Very important mathematical procedures
that are introduced first include "feedback" and "the Iterator". These
dynamic laws together with experiences using such progams as the
Geometers Sketchpad and Logo can help students develop sensitivity to
dynamic laws.

from Steven S. Means
Math and Technology Teacher at Sammamish High School

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