Polytopes | Incidence geometry | Algebraic topology

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. This abstract definition allows more general combinatorial structures than traditional definitions of a polytope, thus allowing new objects that have no counterpart in traditional theory. (Wikipedia).

Abstract polytope
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Sketch a net from a 3D figure

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Classify Polygons

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From playlist Virtual Conference

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From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

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From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

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From playlist Analysis and its Applications

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From playlist Classify Polygons

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From playlist Probability and Statistics

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