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Net Stellation facets × 20 A net of a great stellated dodecahedron (surface geometry); twenty isosceles triangular pyramids, arranged like the faces of an icosahedron. It can be constructed as the third of three stellations of the dodecahedron, and referenced as Wenninger model [W22]. Complete net of a great stellated dodecahedron.
A dissection of the great dodecahedron was used for the 1980s puzzle Alexander's Star. Norwegian artist Vebjørn Sand's sculpture The Kepler Star is displayed near Oslo Airport, Gardermoen. The star spans 14 meters, and consists of an icosahedron and a dodecahedron inside a great stellated dodecahedron.
The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the small stellated dodecahedron. This can be seen as one of the two three-dimensional equivalents of the compound of two pentagrams ({10/4} " decagram "); this series continues into the fourth ...
Compound of great icosahedron and stellated dodecahedron Type: stellation and compound: Coxeter diagram: ∪ : Convex hull: Dodecahedron: Polyhedra: 1 great icosahedron 1 great stellated dodecahedron: Faces: 20 triangles 12 pentagrams: Edges: 60 Vertices: 32 Symmetry group: icosahedral (I h)
Great triambic icosahedron: Icosahedron: Compound of five cubes: Rhombic triacontahedron: Compound of great icosahedron and great stellated dodecahedron: Icosidodecahedron: Compound of great icosahedron and great stellated dodecahedron: Great icosidodecahedron: Compound of dodecahedron and icosahedron: Icosidodecahedron: Compound of cube and ...
The convex regular dodecahedron also has three stellations, all of which are regular star dodecahedra.They form three of the four Kepler–Poinsot polyhedra.They are the small stellated dodecahedron {5/2, 5}, the great dodecahedron {5, 5/2}, and the great stellated dodecahedron {5/2, 3}.
Bottles of Dassai 23 sake are seen at Asahi Shuzo Co's facility in Iwakuni, Yamaguchi Prefecture, Japan, on July 7, 2022. (Noriko Hayashi/Bloomberg/Getty Images)
Small stellated dodecahedron: Great dodecahedron: 5|2 5 / 2 {5 / 2,5} I h: U34 K39 12 30 12 12{5 / 2} 21 Great dodecahedron: Small stellated dodecahedron: 5 / 2 |2 5 {5, 5 / 2} I h: U35 K40 12 30 12 12{5} 22 Great stellated dodecahedron: Great icosahedron: 3|2 5 / 2 {5 / 2,3} I h: U52 K57 20 30 12 12{5 / 2} 41 Great icosahedron (16th stellation ...