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Re: Fractals
Posted:
May 4, 1995 3:04 PM


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 selfsimilarity can be used to talk about fractals. Like when does selfsimilarity 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 means@belnet.bellevue.k12.wa.us Math and Technology Teacher at Sammamish High School http://belnet.bellevue.k12.wa.us/sammamish/ <<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>



