Abstract
There are no stellations of the cube or tetrahedron . The only stellated form of the octahedron is the stella octangula, which is a compound of two tetrahedra. There are three dodecahedron stellations: the small stellated dodecahedron, great dodecahedron, and great stellated dodecahedron . Coxeter et al. (1982) shows that 58 icosahedron stellations exist (although Coxeter et al. include the icosahedron itself in their count, for a total of 59), subject to certain restrictions.The Kepler-Poinsot solids consist of the three dodecahedron stellations and one of the icosahedron stellations . This paper presents the design of Polyhedron under Cabri3D, interactive dynamic software of geometry. It is divided into four sections. You can crystal clearly to discover the detail in the website:http://apollonius.math.nthu.edu.tw/d1/dg-07-exe/943204/Stellation/stellated polyhedrons.htmHere you can see the production of this study and application of 3D dynamic geometry.