Translational Scaling

Here are the familiar IFS rules for the right Sierpinski gasket, together with the fractal it generates.

Here we've multiplied all the e and f values by 2. Note how the fractal has changed.

In general, multiplying all the e and f values by the same (positive) number just scales the fractal by that factor. Let's emphasize this point. The r and s values tell what fraction of the whole shape each piece occupies. The relative values of e and f tell where the pieces are located with respect to one another. The actual values of the e and f determine the scale of the fractal.

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