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Topic:  Iteration with Geometer's Sketchpad 
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Subject:  Iteration with Geometer's Sketchpad 
Author:  Davem 
Date:  Nov 26 2005 
using iteration, but I'm trying to experiment, unsuccessfully. I want to extend
the Sierpinski's Gasket idea (triangle, three different maps, each focused into
a corner of the triangle) to other shapes, e.g. square, pentagon, etc.
I certainly remember doing the pentagon years ago with basic.
My problem is  I set up a square, using a base line, two perpendicular lines, a
circle to give an intersection point, and a third perpendicular line. Then I
put the midpoints on each side. I want the square to reduce in side length by
one half, so that it fills a quarter of the square, tucked into the corner.
Once I've got that map  I'll repeat it for the other 4 corners, just like you
do with Sierpinski's gasket.
Why won't this work? All points are welldefined, I think, so what's
wrong?
Can anyone help?
 
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