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Vertex vs Associahedron - What's the difference?

vertex | associahedron |

In mathematics|lang=en terms the difference between vertex and associahedron

is that vertex is (mathematics) a point on the curve with a local minimum or maximum of curvature while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

As nouns the difference between vertex and associahedron

is that vertex is the highest point of something while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

vertex

English

(wikipedia vertex)

Noun

(en-noun)
  • The highest point of something.
  • (anatomy) The highest surface on the skull.
  • (geometry) The common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.
  • (mathematics) A point on the curve with a local minimum or maximum of curvature.
  • (graph theory) One of the elements of a graph joined or not by edges to other vertices.
  • (computer graphics) A point in space, usually given in terms of its Cartesian coordinates.
  • (optics) The point where the surface of a lens crosses the optical axis.
  • (nuclear, or, particle physics) An interaction point.
  • (astrology) The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.

    • Synonyms

    * (highest point) acme, apex, peak, top * (part of a graph) node

    Derived terms

    * vertexal, vertexial

    See also

    * Mathworld article on vertices of polyhedra * Mathworld article on verticies of polygons ----

    associahedron

    English

    (wikipedia associahedron)

    Noun

    (associahedra)
  • (mathematics) A convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.