1.E. Iterated Function Systems

Sierpinski Gasket IFS

We begin with a right isosceles Sierpinski gasket. Certainly, the gasket can be viewed as made up of three copies of itself, each scaled by a factor of 1/2 in both the x- and y-directions.
To determine the translation amount of each piece, take some point of the whole fractal (the lower left corner, for example) and observe where that point goes in each piece.
Here we derive the rules for the right isosceles Sierpinski gasket. Click the picture to see the transformation factors deduced.

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