Applications of Successive half turns in paper folding and paper cutting

The term ‘half turn’ is a geometric transformation as a function under which to each point on a plane a corresponding point. In geometrical transforma- tion and construction many times the half turn is applicable. In the construction point of view it may be expressed as an equation of translation or half turn ac- cording to even or odd number of half turns. The main focus of this paper is to explore the importance of half turn which is highly applicable in our daily life for any geometric construction and Generalization of result of successive half turns.