Triangular tiling
| 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 |
|
| Dual polyhedron | hexagonal tiling |
| Properties | planar |
In geometry, the Triangular tiling is a regular tiling of the Euclidean plane.
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.
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. Five, four and three triangles on a vertex define an icosahedron, octahedron, and tetrahedron respectively.
See also:
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