Abstract— This paper introduces a novel four-order system, which can generate one-directional (1-D) n−torus, twodirectional (2-D) n × m −torus, three-directional (3-D) n × m × l−torus, four-directional (4-D) n × m × l × p−torus chaotic attractors. Furthermore, a novel block circuit diagram is designed for the hardware implementation of multi-directional grid multi-torus chaotic attractors. This is the first time in the literature to experimentally verify a 5 × 5 × 3 × 3 −torus chaotic attractors.