Rhombille tiling

Rhombille tiling
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

In geometry, the rhombille tiling,^[1] also known as tumbling blocks,^[2] 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.

^ Conway, John; Burgiel, Heidi; Goodman-Strauss, Chaim (2008), "Chapter 21: Naming Archimedean and Catalan polyhedra and tilings", The Symmetries of Things, AK Peters, p. 288, ISBN 978-1-56881-220-5.
^ Cite error: The named reference tumble1 was invoked but never defined (see the help page).

[1] Conway, John; Burgiel, Heidi; Goodman-Strauss, Chaim (2008), "Chapter 21: Naming Archimedean and Catalan polyhedra and tilings", The Symmetries of Things, AK Peters, p. 288, ISBN 978-1-56881-220-5.

[tumble1-2] Cite error: The named reference tumble1 was invoked but never defined (see the help page).

[1]

[2]