A Socolar tiling is an example of an aperiodic tiling, developed in 1989 by Joshua Socolar in the exploration of quasicrystals.
[1] There are 3 tiles a 30° rhombus, square, and regular hexagon.
The rhombus and square are disallowed from touching another of itself, while the hexagon can connect to both tiles as well as itself, but only in alternate edges.
The dodecagonal rhomb tiling include three tiles, a 30° rhombus, a 60° rhombus, and a square.
[3] Another set includes a square, a 30° rhombus and an equilateral triangle.