In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and...
31 KB (2,312 words) - 05:44, 24 May 2024
Small stellated dodecahedron (category Kepler–Poinsot polyhedra)
In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four...
8 KB (743 words) - 20:50, 10 May 2024
polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making nine regular polyhedra in all. In addition, there...
32 KB (3,118 words) - 14:26, 10 April 2024
Great dodecahedron (category Kepler–Poinsot polyhedra)
In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of . It is one of four nonconvex...
5 KB (381 words) - 06:19, 14 February 2024
regular icosahedron. Many polyhedrons are constructed from the regular icosahedron. For example, most of the Kepler–Poinsot polyhedron is constructed by faceting...
35 KB (3,685 words) - 03:37, 19 April 2024
on a vertex of this polyhedron or inside of it. It was studied by Max Brückner after the discovery of Kepler–Poinsot polyhedron. It can be viewed as...
12 KB (1,084 words) - 18:14, 24 February 2024
Great stellated dodecahedron (category Kepler–Poinsot polyhedra)
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...
6 KB (429 words) - 06:26, 14 February 2024
Platonic solid (redirect from Convex regular polyhedron)
Goldberg polyhedron Kepler-Poinsot polyhedron List of regular polytopes Prince Rupert's cube Regular polytope Regular skew polyhedron Toroidal polyhedron Gardner...
53 KB (5,528 words) - 16:41, 26 May 2024
Great icosahedron (category Kepler–Poinsot polyhedra)
In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol {3,5⁄2} and Coxeter-Dynkin...
7 KB (490 words) - 07:58, 14 February 2024
solids and (star) Kepler–Poinsot polyhedra – form dual pairs, where the regular tetrahedron is self-dual. The dual of an isogonal polyhedron (one in which...
19 KB (2,221 words) - 09:11, 25 January 2024