The famous Herrnhuter Star
Pyramid stars
Instead of using diagonals or intersecting planes, you can set pyramids on the faces of a polyhedron.
So you have to identify, on which polyhedron the pyramids are placed on.
The Herrnhuter star has 8 triangle pyramid and 17 square pyramids. Therefore you need a polyhedron with faces of 8 triangles and 17 squares.
