Abstract

Curves with equations (EQT) are widely used to create surfaces of machine parts in machine manufacture. They make beautiful surfaces that appeal to consumers. These surfaces may be free surfaces or may be assembled surfaces. Helix and spiral curves are very popular applications in mechanical engineering and architecture. They not only are the basis for creating threaded surfaces on machine parts but also create beautiful spiral staircases. This paper not only presents how to make an equations and projections of the Hyperboloid spiral, but also shows its practical applications.