Penrose Rhombus tiles (P3) puzzle

Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated them in the 1970s. A Penrose tiling is an example of an aperiodic tiling. A tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches.

There are several variants of Penrose tilings with different tile shapes. The one I share here, uses a pair of rhombuses with equal sides but different angles. Ordinary rhombus-shaped tiles can be used to tile the plane periodically, so restrictions must be made on how tiles can be assembled. In the multicolor edition the restrictions are the colors of the arcs.

For those who don't have an AMS you can print the NO AMS version which has indentation. The monochrome version has a little circle to denote the bottom side of the tile. Even if I didn't add it you would notice immediately that it's not possible to connect properly with other tiles but it's easier that way.

In my print profiles I have filled two plates for each version but feel free to remove or rearrange them in any order you like. An important note for the multi colored version, in the object view you should always use the same color for the same numbered circle in both the Thin and Thick Rhombus.