3-4-3-12 tiling

In geometry of the Euclidean plane, the 3-4-3-12 tiling is one of 20 2-uniform tilings of the Euclidean plane by regular polygons, containing regular triangles, squares, and dodecagons, arranged in two vertex configuration: 3.4.3.12 and 3.12.12.

It is homeomorphic to the ambo operation on the tiling, with the cyan and pink gap polygons corresponding to the cyan and pink circles (one dimensional duals to the respective planigons).

The kites meet in sets of 4 around a center vertex, and the triangles are in pairs making planigon rhombi.

Every four kites and four isosceles triangles make a square of side length

This is one of the only dual uniform tilings which only uses planigons (and semiplanigons) containing a 30° angle.