Snub dodecadodecahedron 16th stellation of icosidodecahedron Higher dimensions Orthogonal projections of higher dimensional polytopes can also create pentagrammic figures: 4D 5D The regular 5-cell (4- simplex ) has 5 vertices and 10 edges. The rectified 5-cell has 10 vertices and 30 edges. The rectified 5-simplex has 15 vertices, seen in this