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A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry.The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line segments.
In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edge s and face s that defines the shape of a polyhedral object's surface. It simplifies rendering, as in a wire-frame model. The faces usually consist of triangles (triangle mesh), quadrilaterals (quads), or other simple convex polygons .
Triangle; Automedian triangle; Delaunay triangulation; Equilateral triangle; Golden triangle; Hyperbolic triangle (non-Euclidean geometry) Isosceles triangle; Kepler triangle; Reuleaux triangle; Right triangle; Sierpinski triangle (fractal geometry) Special right triangles; Spiral of Theodorus; Thomson cubic; Triangular bipyramid; Triangular ...
Example of a triangle mesh representing a dolphin A triangle mesh created by contouring an implicit surface. In computer graphics, a triangle mesh is a type of polygon mesh.It comprises a set of triangles (typically in three dimensions) that are connected by their common edges or vertices.
This formula, sometimes called Tartaglia's formula, is essentially due to the painter Piero della Francesca in the 15th century, as a three-dimensional analogue of the 1st century Heron's formula for the area of a triangle.
In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.
These segments are called its edges or sides, and the points where two of the edges meet are the polygon's vertices (singular: vertex) or corners. The word polygon comes from Late Latin polygōnum (a noun), from Greek πολύγωνον ( polygōnon/polugōnon ), noun use of neuter of πολύγωνος ( polygōnos/polugōnos , the masculine ...
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, ... Real-time GPU generated Sierpinski Triangle in 3D; Pythagorean triangles, ...