This is the latest experiment with designing quilts by machine piecing the rhomboid patches of a Penrose tiling then English paper piecing the machine pieced rhombs. My previous experiments with this resulted in the Mylchreest star quilt and the Penrose tile Christmas tree skirt.
I started with this tiling:
The Green Square indicates the final quilt boundary.
Then I Reduce each rhombus three levels:
I machine piece some of the fat rhombi half black/half green. Then I lay them out with the thin black rhombi so that they create the outline star effect. I also machine piece half black/half white fat rhombi and lay them out like this: