Great stellated dodecahedron
For that Kepler-Poinsot-Polyhedron I started to draw an icosahedron and continued to add triangular pyramids as "hats" on top of each of the 20 triangular icosahedron faces.
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This is the Small Stellated Dodecahedron I drew a while back:
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How are the Dodecahedron, Icosahedron, Small and Great Stellated Dodecahedron related?
(Source)
Truncation of the Small Stellated Dodecahedron:
Truncation of the Great Stellated Dodecahedron:








