High Quality Content by WIKIPEDIA articles! In mathematics, a polytope P is chiral if it has two orbits of flags under its group of symmetries, with adjacent flags in different orbits.In mathematics, an abstract polytope, informally speaking, is a structure which considers only the combinatorial properties of a traditional polytope, ignoring many of its other properties, such as angles, edge lengths, etc.. No concept of space, such as Euclidean space, is required to contain it. The term...
High Quality Content by WIKIPEDIA articles! In mathematics, a polytope P is chiral if it has two orbits of flags under its group of symmetries, with adjacent flags in different orbits.In mathematics, an abstract polytope, informally speaking, is a structure which considers only the combinatorial properties of a traditional polytope, ignoring many of its other properties, such as angles, edge lengths, etc.. No concept of space, such as Euclidean space, is required to contain it. The term polytope is a generalisation of polygons and polyhedra into any number of dimensions.A formal definition of an abstract polytope is given below. In fact, this definition is more general than the traditional concept of a polytope, and allows many new objects that have no counterpart in traditional theory.
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