A crystal is an object with a repeating atomic structure in space. A time crystal is where instead of being a repeating structure in space, it’s a repeating structure in time. So the atoms keep rearranging themselves, but they cycle through the same patterns. Recently a spacetime crystal was also discovered, where it keeps rearranging itself, but those patterns it arranges itself into were themselves a crystal, so the pattern repeats itself in space and time.
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