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A slight variation on generating the Sierpinski gasket with triangular polygons yields the fractal mountains used in computer-generated animations. After you find the midpoint of

A slight variation on generating the Sierpinski gasket with triangular polygons yields the fractal mountains used in computer-generated animations. After you find the midpoint of each side of the triangle, perturb this location before subdivision. Generate these triangles without fill. Later, you can do this exercise in three dimensions and add shading. After a few subdivisions, you should have generated sufficient detail that your triangles look like a mountain.

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