  The engineering of new states of matter through Floquet driving has
revolutionized the field of condensed matter physics. This technique enables
the creation of hybrid topological states and ordered phases that are absent in
normal systems. Crystalline structures, exemplifying spatially ordered systems
under periodic driving, have been extensively studied. However, the recent
focus has shifted towards discrete time crystals (DTCs), periodically driven
quantum many-body systems that break time translation symmetry under specific
conditions. In this paper, we explore the theoretical predictions, experimental
realizations, and emerging possibilities of utilizing DTCs on quantum
computers. Additionally, the formation of time varying tesseracts using
discrete time crystals is presented, allowing for the investigation of time
translational symmetry in higher-dimensional lattice systems.
