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We derive a formulation of molecular dynamics that generates only symmetric configurations. We implement it for all 2D planar and 3D space groups. An atlas of 2D Lennard-Jones crystals under all planar groups is created with symmetric molecular dynamics.Little is known about the complex molecular and cellular events occurring during implantation, which represents a critical step for pregnancy. The conventional 2D culture could not support postimplantation embryos' normal development, and 3D conditions shed light into the "black box". 3D