On the sides of a dodecahedron one can apply other line patterns of the 5-fold symmetry group. A[br]possibility is to create touching 5-pointed stars.
While the possibilities of regular polyhedrons are limited one experimented with other polyhedrons, like the half regular [url=https://www.geogebra.org/m/W8aS6W3G#chapter/108433]Archimedean solids[/url]. These consist out of two or more regular polygons providing additional possibilities for domes. Twelve pentagons and twenty hexagons form a truncated icosahedron. Projecting[br]the sides on a dome allows to combine 5-pointed and 6-pointed stars. Cutting the angles of a cube creates a truncated cube with eight octagons and eight triangles. In both solids you can see other combinations of polygons than in planar tilings. As a result dome patterns show other line patterns too.
truncated icosahedron (left) and truncated cube (right)