Stellated

The compound of the small stellated dodecahedron and great dodecahedron looks outwardly the same as the small stellated dodecahedron, because the great dodecahedron is completely contained inside.

For example, the small stellated dodecahedron has 12 pentagram faces with the central pentagonal part hidden inside the solid.

For this reason, the image shown above shows the small stellated dodecahedron in wireframe.

He depicts the great dodecahedron and the great stellated dodecahedron - this second is slightly distorted, probably through errors in method rather than ignorance of the form.

Summary Relationships among the regular polyhedra The small stellated dodecahedron and great icosahedron share the same vertices and edges.

The compound figure comprising two such dual tetrahedra form a stellated octahedron or stella octangula.

The small and great stellated dodecahedron have nonconvex regular pentagram faces.