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The density of a polygon is the number of times that the polygonal boundary winds around its center. For convex polygons, and more generally simple polygons (not self-intersecting), the density is 1, by the Jordan curve theorem. The density of a polygon can also be called its turning number; the sum of the … See more
In geometry, the density of a star polyhedron is a generalization of the concept of winding number from two dimensions to higher dimensions, representing the … See more
There are 10 regular star 4-polytopes (called the Schläfli–Hess 4-polytopes), which have densities between 4, 6, 20, 66, 76, and 191. They come in dual pairs, with the exception of the … See more
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