Abstract
Abstract In this thesis,I would like to perform the duality of five kinds of solids：Platonic solids(cube、dodecahedron、icosahedron、octahedron、 tetrahedron)、Kepler-Poinsot solids(great dodecahedron、small stellated dodecahedron、great icosahedron、great stellated dodecahedron)、Archimedean solids (cuboctahedron、great rhombicosidodecahedron、great rhombicuboctahedron、icosidodecahedron、small rhombicosidodecahedron、small rhombicuboctahedron、truncated cube、truncated dodecahedron、truncated icosahedron、truncated octahedron、truncated tetrahedron)、pyramids with regular polygon faces(triangular pyramid、square pyramid、pentagonal pyramid)、dipyramids with regular polygon faces(triangular dipyramid、square dipyramid、pentagonal dipyramid).In addition,I would like to find the basic block of the Platonic solids and Archimedean solids,then construct the solids by reflection and symmetry .The following website shows clearly the dynamic simulation and detail process of generating polyhedrons：http://apollonius.math.nthu.edu.tw/d1/dg-07-exe/9521502/