stellated dodecahedra
the following is a grasshopper definition that illustrates how the pentagonal dodecahedron generates:
- a regular icosahedron, by rotation of its faces;
- its first stellation, the small stellated dodecahedron;
- its second stellation, the great dodecahedron, whose convex hull is the icosahedron shown in the first step,
- the third and final stellation, the great stellated dodecahedron;
- in a subsequent step, it is shown how the small stellated dodecahedron transforms into the great stellated dodecahedron.