Journal of Intelligent Computing Kamel BOUZGOU, Reda HANIFI EL HACHEMI AMAR, Zoubir AHMED-FOITIH 6 4 2015 http://www.dline.info/jic/fulltext/v6n4/v6n4_3.pdf This paper introduces a novel presentation of mathematics related to robotics studies for reasons of simplicity and extension, we start with a complete geometric modeling to determine the essential points for the design and simulation of our architecture, a choice of 3-RRR delta robot with a pure translation is proposed in this paper, passing briefly through singularities; results of our analytical study are showed in virtual reality environment, where we used several mathematical software , the design software CAD and VRML, the user can interact with application in outside of laboratory by using Matlab interface GUI.