How to divide a polygonal pattern into a second layer?[br]We’ll illustrate with an example. Below you can see a typical pattern with a 10-pointed star, surrounded by pentagons and rhombuses. The unit repeat is drawn in red.

You can create a division a follows: [list][*]Construct regular decagons at the corners of the line pattern so that they are tangent. Below you can see that two decagons overlap. For this an alternative is provided.[/*][*]Fill in the remaining area with polygons of the 5-fold system. The overlapping decagons are replaced by bow ties and hexagons.[/*][/list]

We duplicate the divided unit reapeat by mirroring.