Triangular tiling
Type	Regular tiling
Faces	triangles
Edges	Infinite
Vertices	Infinite
Vertex configuration	3.3.3.3.3.3
Wythoff symbol	6 | 2 3
Symmetry group	p6m
Dual polyhedron	hexagonal tiling
Properties	planar
Vertex Figure

In geometry, the triangular tiling is a regular tiling of the Euclidean plane. Jump to: navigation, search Image File history File links Tile333333bc. ... This article needs to be cleaned up to conform to a higher standard of quality. ... A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ... The symmetry group of an object (e. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... Jump to: navigation, search In geometry, the hexagonal tiling is a regular tiling of the Euclidean plane. ... Something is called planar if it is made up of flat planes, or pertaining to planes. ... // Introduction Geometry (Greek Γεωμετρια, geo = earth, metria = measure ) arose as the field of knowledge dealing with spatial relationships. ... In geometry, a tiling (also called tessellation, mosaic or dissection) of a given shape S consists of a collection of other shapes which precisely cover S. Often the shape S to be tiled is the Euclidean plane, but other shapes and three-dimensional objects are considered as well. ...

The internal angle of the equilaterial triangle is 60 degrees so six triangles at a point make a full 360 degrees. It is one of three regular tilings of the plane. The other two are the square tiling and the hexagonal tiling. Jump to: navigation, search In geometry, the Square tiling is a regular tiling of the Euclidean plane. ... Jump to: navigation, search In geometry, the hexagonal tiling is a regular tiling of the Euclidean plane. ...

The planar tilings are related to polyhedra. Putting fewer triangles on a vertex leaves a gap and allows it to be folded into a pyramid. These can be expanded to Platonic_solids: five, four and three triangles on a vertex define an icosahedron, octahedron, and tetrahedron respectively. In mathematics, there are three related meanings of the term polyhedron: in the traditional meaning it is a 3-dimensional polytope, and in a newer meaning that exists alongside the older one it is a bounded or unbounded generalization of a polytope of any dimension. ... Geometric shape created by connecting a polygonal base to an apex An n-sided pyramid is a polyhedron formed by connecting an n-sided polygonal base and a point, called the apex, by n triangular faces (n≥3). ... In solid geometry and some ancient physical theories, a Platonic solid is a convex polyhedron with all its faces being congruent regular polygons, and the same number of faces meeting only on each of its vertices. ... An icosahedron [ˌaıkəsəhiːdrən] noun (plural: -drons, -dra [-drə]) is a polyhedron having 20 faces. ... An octahedron (plural: octahedra) is a polyhedron with eight faces. ... A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ...

See also:

• Tilings of regular polygons
• Platonic_solid