n-Dimensional congruent lattices using necklaces

• Methodology devised for the generation of congruent distributions in modular spaces. Formulation problem terms Number Theory. Mathematical generalization Walker, Draim, and Flower Constellations. Devised optimization techniques distribution problems. The methodology allows to limit size searching space. This work introduces n -dimensional lattices using necklaces, a general generate uniform multidimensional formulation presented this manuscript constitutes mathematical foundation most used satellite constellation designs, including Walker Constellations, Lattice Necklace These design models are based on Theory allow obtain that have some interesting properties uniformity large number symmetries. includes complete methodology, proofs existence uniqueness definitions, several theorems focus counting possibilities common cases study.