A New Perspective on the Homogeneous Coordinate System for Calculating Interatomic Distances and Their Derivatives in Terms of Internal Coordinates (Adv. Theory Simul. 11/2024)

This cover image illustrates the contrast between the traditional Cartesian coordinate system (depicted in green) and the homogeneous coordinate system (shown in purple), with an additional dimension extending from the Cartesian grid. The homogeneous model for 3D space not only linearizes isometries, as demonstrated by the 4 × 4 matrix in red using internal coordinates, but it also provides a more elegant and compact representation for calculating interatomic distances, highlighted in red on the left. For further details, see article number 2400271 by Jesus Camargo and Carlile Lavor.