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Koch-Subdivided Polyhedra
Koch-Subdivided Polyhedra
This Demonstration shows a "graftal" technique to subdivide the triangular faces of a polyhedron.
Many fractal curves can be generated using L-systems or string-rewrite rules, in which successive stages of the curve are generated by replacing each line segment with multiple smaller segments in a particular arrangement.
The same technique can be extended to surfaces, where a stage is constructed by replacing each triangle with multiple smaller triangles. Here we apply this technique to two of the regular polyhedra with triangular faces.