Sarkpontot

Sarkpontot is the Hungarian term for the corner point, or vertex, of a geometric figure. The base noun is sarkpont; sarkpontot is the accusative singular form used when the vertex is the direct object of a sentence. The plural nominative form is sarkpontok.

Etymology: It combines sark (corner) and pont (point).

In geometry: In Euclidean geometry, a sarkpont is the point where two sides of a polygon or two edges of a polyhedron meet. In polygons, the sarkpontok are the vertices; their arrangement determines the figure’s shape and properties such as interior angles and symmetry. The concept aligns with the English term vertex.

In optimization and computational geometry: The term is used to denote corner points of a feasible region or polytope. Many algorithms for linear and integer programming identify sarkpontok as potential extreme points or basic feasible solutions, since, under typical conditions, optimal values occur at such vertices.

Usage notes: In Hungarian mathematical writing, sarkpontot is used when the vertex is the object of action, while sarkpontok is the generic plural and sarkpont a single nominative form. In English-language summaries, sarkpont translates to vertex or corner point.