Pseudo Islamic art-like patterns
Three shapes, the b owtie, regular pentagon and rhombus (with markings) are all that are needed to produce Islamic art-like patterns. The large regular pentagon (on left) contains three smaller pentagons, two rhombi and one bowtie. Ten pointed star (on right) is made up of three bowties, two regular pentagons and one rhombus. Ten rotations of each... Here's the sort of thing you can do... The batman below comprises two regular pentagons, one rhombus and one bowtie. Below - one example (plain/decorative) of a periodic batman pattern and another including rhombi.