Rhombille tiling
In geometry, the rhombille tiling, also known as tumbling blocks, reversible cubes, or the dice lattice, is a tessellation of identical 60° rhombi on the Euclidean plane. Each rhombus has two 60° and two 120° angles; rhombi with this shape are sometimes also called diamonds. Sets of three rhombi meet at their 120° angles, and sets of six rhombi meet at their 60° angles.
| Rhombille tiling | |
|---|---|
| Type | Laves tiling |
| Faces | 60°–120° rhombus |
| Coxeter diagram | |
| Symmetry group | p6m, [6,3], *632 p3m1, [3[3]], *333 |
| Rotation group | p6, [6,3]+, (632) p3, [3[3]]+, (333) |
| Dual polyhedron | Trihexagonal tiling |
| Face configuration | V3.6.3.6 |
| Properties | edge-transitive, face-transitive |
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