Koch Infinite Fractal Curve Implementation for the Space Filling Problem in Manufacturing

Abstract

Space-?filling problem has been one of the most intriguing problems in the domain of manufacturing science and engineering. Several approaches have been applied to solve the problem, ranging from in?finite curves (Gospel Curve) to straight-line approaches. This paper introduces a new approach of space fi?lling using fractal curves. Fractal curves are de?ned as mathematical curves whose shape retains the same general pattern of irregularity, regardless of how much magnifi?ed the shape has been considered, basically the shape of a fractal. These curves are widespread in nature and hence using the same, a novel method has been prepared for generating a fractal curve to be implemented in the additive manufacturing process.