Filling the Empty Spaces of the Sierpinski Tetrahedron to Create a 3D Puzzle

ABSTRACT

The purpose of this paper is to present the method used to fill, with tetrahedrons of dimension , the empty spaces of the Sierpinski tetrahedron. And the aim of this research is to create a 3D puzzle that is assembled using modules formed of tetrahedrons that bind and/or intersect each other. In this paper we illustrate the process that took place to generate the modules taking in to account the unions and intersections of the tetrahedrons and we use applications CAD-CAM-CAE to perform, from the modeling of the modules till the rapid prototyping, the 3D puzzle.

GRAPHICAL ABSTRACT

Keywords:

• Sierpinski tetrahedron
• puzzle