Editing Abstract polytope (section)

{{Short description|Poset representing certain properties of a polytope}}
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[[File:Pyramid abstract polytope.svg|thumb|340px|A square pyramid and the associated abstract polytope.]]

In [[mathematics]], an '''abstract polytope''' is an algebraic [[partially ordered set]] which captures the dyadic property of a traditional [[polytope]] without specifying purely geometric properties such as points and lines.

A geometric [[polytope]] is said to be a ''realization'' of an abstract polytope in some real [[N-dimensional space]], typically [[Euclidean space|Euclidean]]. This abstract definition allows more general [[combinatorics|combinatorial]] structures than traditional definitions of a polytope, thus allowing new objects that have no counterpart in traditional theory.

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