Here is a study on Penrose tiling Kite and Dart.

base methodology is similar to L-system (my previous posts) -> I drive a "turtle" represented by an Axis system along its local axis, then Loop

Wikipedia was very helpful: Penrose tiling - Wikipedia and Mr Penrose is fantastic and DSRD awesome!

the model is too big to do a tutorial easily. and I am not very satisfied with the modeling itself. I struggled a lot with the loop because it include a Dispatch -> Should I use a "dispatch" or a "select".

in the end, it worked with a dispatch and I like the result. 

3dxml inside.