Hexagonal tiling
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).
| 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 |
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.
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