Indirect Pythagorean hodographs (IPH) spline curves are a set of curves which have rational pythagorean hodographs after reparameterization by a fractional quadratic transformation. In this paper, we provide an algorithm to interactively design a cubic IPH spline curve from any given control polygon. The method has the same friendly interface and properties as those for B-splines and meanwhile facilitates intuitive and efficient construction of open and closed PH spline curves. The key idea is to solve the ratios of a set of auxiliary points associated with the edges and then construct a piecewise cubic IPH spline curve which has as higher as possible continuity, i.e., the absolute curvature value of the adjacent curve segments are same. A very interesting observation is that for any open control polygon, a quadratic B-spline curve can have continuity absolute curvature by carefully choosing the knots as the function of the control points.