Great stellated dodecahedron
The Ikosaederstern (also called Large Sterndodekaeder ) is a regular polyhedron is one of the Keplerian star bodies; It is bounded by 60 equilateral triangles. The star body is characterized by the equality of all dihedral angles - both inside and outside - of 63.44 ° from. A convolution of the star from paper is the Bascetta star.
Formation & Properties
If all edges of an icosahedron extends both beyond its corners to be cut three of them at one point, then a Ikosaederstern, which can be thought of as icosahedron with 20 mounted pyramids. The prongs of the Ikosaedersterns form the vertices of a regular dodecahedron with the side length.
- The Ikosaederstern is the circumscribed body of twelve mutually intersecting pentagrams that are coincident to the pentagonal cut surfaces of an icosahedron
- Triakisikosaeder and Ikosaederstern are topologically equivalent.
- And the surfaces of Dodekaederstern Ikosaederstern are equal, with the former including the larger volume.