the concave regular

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• stellated dodecahedra

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stellated dodecahedra

the following is a grasshopper definition that illustrates how the pentagonal dodecahedron generates:

1. a regular icosahedron, by rotation of its faces;
2. its first stellation, the small stellated dodecahedron;
3. its second stellation, the great dodecahedron, whose convex hull is the icosahedron shown in the first step,
4. the third and final stellation, the great stellated dodecahedron;
5. in a subsequent step, it is shown how the small stellated dodecahedron transforms into the great stellated dodecahedron.

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