Dodecahedron with stars

I saw this dodecahedron with an Islamic-inspired pattern designed by Taj Ragoo. As soon as I saw it, I knew I had to make one. I studied the pattern, wrote some Python, and made myself a PDF. I cut it out, folded it, glued it together, and now I have one of my own:I love that this elegantly combines two pure geometric forms: the Platonic dodecahedron (12 uniform pentagons), and an Islamic pattern using five-pointed stars.Looking closely, details emerge:Each face has ten small stars in a ring. I’ve lightened them a bit in the front face here. At the center of each face is a ten-pointed star (highlighted in red), made of two overlaid five-pointed stars.The real genius of the pattern is at the corners. I’ve highlighted one in blue. It’s a star made of the same parts as the central ten-pointed star, but there are only nine points. It works because three pentagons lying flat touching at a point occupy 324 degrees, leaving a 36-degree gap.When the dodecahedron is folded together, the gap is…