Polyhedral complex mathematics , a polyhedral complexpolyhedra in a real vector space that fit together in a specific way. Polyhedral complexes generalize simplicial complexes and arise in various areas of polyhedral geometry, such as tropical geometry , splines and hyperplane arrangements .Definition A polyhedral complex is a set of polyhedra that satisfies the following conditions:the empty set is a face of every polyhedron, and so the intersection of two polyhedra in may be empty.A fan cone from the origin. Examples of fans include:
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