Discrete coordinate system with isotropy for robotic applications

An “Isotropic” discrete coordinate system for regular tessellations on a plane is described in this paper, together with its robotic application example. The coordinate system is generated via projection process of three-dimensional (3D) honeycomb over a two-dimensional (2D) plane. The coordinate system is composed of three axes in order for indicating 2D position. This redundancy enables to posses the isotropy that is the most significant advantage of the coordinate system.