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Template: Dodecahedron stellations. ... Print/export Download as PDF; ... Small stellated dodecahedron Great dodecahedron
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3D model of a great stellated dodecahedron. In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5 ⁄ 2,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.
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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 ...
There is also a truncated version of the small stellated dodecahedron. [8] It is clear from the general arrangement of the book that he regarded only the five Platonic solids as regular. The small and great stellated dodecahedra, sometimes called the Kepler polyhedra, were first recognized as regular by Johannes Kepler around 1619. [9]
Small stellated dodecahedron: Dodecahedron: Great stellated dodecahedron: Dodecahedron: Stellated octahedron: Octahedron: Compound of five octahedra: Icosahedron: Compound of five tetrahedra: Icosahedron: Small triambic icosahedron: Icosahedron: Great triambic icosahedron: Icosahedron: Compound of five cubes: Rhombic triacontahedron: Compound ...
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 ...