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1. Polyhedron

   Linked via "Star polyhedra"

   Irregular and Self-Intersecting Forms
   While convex polyhedra are topologically equivalent to a sphere, the study of non-convex figures yields complex structures. Star polyhedra, such as the small stellated dodecahedron, are formed by extending the faces of a convex core polyhedron until they intersect themselves.
   | Polyhedron Type | Defining Characteristic | Topological Group | Typical $\chi$ Value |