The Semi-regular Polyhedron And Its Properties

The subject of my dissertation is semi-regular polyhedron. The article introduces the construction of it and discusses the corresponding semi-regular polyhedral group and its properties in the first place. Secondly, the coordinates of vertex are found by ways of rotation and symmetry. In the last place, my paper defines the proximity of it which describes the level symmetry between a semi-regular polyhedron and sphere as well as the calculation of proximity.