Complete Definition of "vertex"

English

Etymology
L. vertex, top, peak, from vertere, to turn

Noun
en-noun|vertices

  1. The highest point of something.

## anatomy The highest point on the skull.

  1. mathematics

## geometry Informally; a corner.
### (angle) The common point of the two rays of the angle.
### (polygon) The meeting points of two sides.
### (polyhedron) The meeting point of three or more faces and an equal number of edges.
### (polytope) a point where the corners of three or more cells meet and connect to each other.
## {curve} a point on the curve with a local minimum or maximum of curvature.
## graph theory One of the elements of a graph joined by zero or more edges to other vertices.

  • (computer graphics) A point in 3D space, usually given in terms of its x-, y-, and z-coordinates.
  • optics the point where the surface of an optical element crosses the optical axis.
  • (nuclear or particle physics) the interaction point.
  • astrology where the Prime Vertical meets the ecliptic in the west.
  • Synonyms
    (highest point): acme, apex, peak, top
    (in graph theory): node

    Translations
    trans-top|highest point
    Croatian: t+|hr|vrh|m
    Czech: t-|cs|vrchol|m
    Finnish: t+|fi|huippu
    trans-mid
    Japanese: æé«ç¹ (saikÅten)
    trans-bottom

    trans-top|corner of a polygon or polyhedron
    Croatian: t+|hr|vrh|m
    Czech: t-|cs|vrchol|m
    Finnish: kärkipiste
    trans-mid
    Italian: t-|it|vertice|m
    Japanese: é ç¹ (chÅten)
    trans-bottom

    <!--Disputed
    trans-top|point of intersection of an axis and a curve
    trans-mid
    trans-bottom

    -->

    trans-top|in graph theory
    Chinese: èç¹
    Croatian: t+|hr|vrh|m
    Italian: t+|it|nodo|m
    trans-mid
    Japanese: é ç¹ (chÅten)
    trans-bottom

    trans-top|in computer graphics
    Croatian: t+|hr|vrh|m, t-|hr|verteks|m
    Finnish: verteksi
    trans-mid
    Italian: t-|it|vertice|m
    trans-bottom

    See also
    w:vertex|Wikipedia articles on vertices
    Mathworld article on vertices of polyhedra
    Mathworld article on verticies of polygons

    Category:Computer graphics

    et:vertex
    fr:vertex
    io:vertex
    ru:vertex
    te:vertex
    vi:vertex
    zh:vertex

    Revision and Credits for"vertex"
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