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Hexagonal tiling | |
---|---|
Type | Regular tiling |
Vertex configuration | 6.6.6 (or 63) |
Face configuration | V3.3.3.3.3.3 (or V36) |
Schläfli symbol(s) | {6,3} t{3,6} |
Wythoff symbol(s) | 3 | 6 2 2 6 | 3 3 3 3 | |
Coxeter diagram(s) | |
Symmetry | p6m, [6,3], (*632) |
Rotation symmetry | p6, [6,3]+, (632) |
Dual | Triangular tiling |
Properties | Vertex-transitive, edge-transitive, face-transitive |
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling).
English mathematician John Conway called it a hextille.
The internal angle of the hexagon is 120 degrees, so three hexagons at a point make a full 360 degrees. It is one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling.