vertex

English

Wikipedia

Etymology

Latin vertex (“top, peak”), from vertere (“to turn”)

Noun

vertex (plural vertices or vertexes)

1. The highest point of something.
2. (anatomy) The highest surface on the skull.
3. (mathematics)
   1. (geometry) Informally; a corner.
      1. (angle) The common point of the two rays of the angle.
      2. (polygon) The meeting points of two sides.
      3. (polyhedron) The meeting point of three or more faces and an equal number of edges.
      4. (polytope) a point where the corners of three or more cells meet and connect to each other.
      5. (curve) a point on the curve with a local minimum or maximum of curvature.
   2. (graph theory) One of the elements of a graph joined by zero or more edges to other vertices.
4. (computer graphics) A point in 3D space, usually given in terms of its Cartesian coordinates.
5. (optics) The point where the surface of an optical element (e.g. lens) crosses the optical axis.
6. (nuclear or particle physics) the interaction point.
7. (astrology) where the Prime Vertical meets the ecliptic in the west.

Synonyms

• (highest point): acme, apex, peak, top
• (in graph theory): node

Translations

highest point

Croatian: vrh (hr) m. Czech: vrchol (cs) m. Dutch: toppunt (nl) Finnish: huippu (fi) Georgian: ზენიტი (ka) (zeniti) Hebrew: פסגה (he) (pisga) f. Italian: vertice (it) f.

Japanese: 最高点 (saikōten) Lithuanian: viršūnė (lt) f. Macedonian: врв (mk) (v'rv) m. Polish: wierzchołek (pl) m. Russian: вершина (ru) (veršína) f., верхушка (ru) (verxúška) f. Spanish: please add this translation if you can

anatomy: highest surface on skull

Finnish: päälaki (fi) Ido: vertico (io) Italian: vertice (it) f. Lithuanian: viršugalvis (lt) f.

Macedonian: теме (mk) (téme) n. Russian: макушка (ru) (makúškaa) f. Scottish Gaelic: bàrr a' chinn (gd) m. Spanish: vértice (es) m.

geometry: corner of a polygon or polyhedron

Arabic: رأس (ar) m. Armenian: գագաթ (hy) (gagat’) Croatian: vrh (hr) m. Czech: vrchol (cs) m. Dutch: hoek (nl) Esperanto: vertico (eo) Finnish: kärki (fi) Georgian: მწვერვალი (ka) (mcvervali) German: Scheitelpunkt (de) m.

Hebrew: קודקוד (he) (kodkod) m. Italian: vertice (it) m. Japanese: 頂点 (chōten) Lithuanian: viršūnė (lt) f. Macedonian: теме (mk) (téme) n. Persian: رأس (fa) Portuguese: vértice (pt) m. Russian: вершина (ru) (veršína) f. Spanish: vértice (es) m.

graph theory: element joined by edges to other vertices

Chinese: 节点 Croatian: vrh (hr) m. Dutch: knoop (nl) Esperanto: vertico (eo) Finnish: solmu (fi) French: sommet (fr) German: Knoten (de) m., Ecke (de) f. Hebrew: קודקוד (he) (kodkód) m., צומת (he) (tzómet) m.

Hungarian: csúcs (hu), pont (hu) Italian: nodo (it) m. Japanese: 頂点 (chōten) Macedonian: теме (mk) (téme) n. Portuguese: vértice (pt) m. Russian: вершина (ru) (veršína) f. Spanish: vértice (es) m., nodo (es) m.

computer graphics: point in 3D space

Croatian: vrh (hr) m., verteks (hr) m. Finnish: verteksi Georgian: მწვერვალი (ka) (mcvervali) German: Scheitelpunkt (de) m.

Italian: vertice (it) m. Macedonian: теме (mk) (téme) n. Russian: вершина (ru) (veršína) f. Spanish: please add this translation if you can

optics: point where the surface of an optical element crosses the optical axis

Finnish: keskipiste (fi) Italian: please add this translation if you can

Spanish: please add this translation if you can

physics: interaction point

Finnish: vuorovaikutuspiste (fi) Italian: please add this translation if you can

Spanish: please add this translation if you can

Derived terms

• vertexal, vertexial

See also

• Mathworld article on vertices of polyhedra
• Mathworld article on verticies of polygons

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Latin

Noun

vertex (genitive verticis); m, third declension

1. whirlpool, eddy, vortex
2. crown (of the head)
3. top, peak, summit
4. pole (North or South)

Inflection

Number	Singular	Plural
nominative	vertex	verticēs
genitive	verticis	verticum
dative	verticī	verticibus
accusative	verticem	verticēs
ablative	vertice	verticibus
vocative	vertex	verticēs