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The K-Discretizable Molecular Distance Geometry Problem ($$^{\textit{K}}\hbox {DMDGP}$$ KDMDGP ) is a subclass of the Distance Geometry Problem (DGP), whose complexity is NP-hard, such that the search space is finite. In this work, the authors describe it completely using Conformal Geometric Algebra (CGA), exploring a Minkowski space that provides a natural interpretation of hyperspheres, hyperplanes,...