objects also look the same when rotated,
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, such as a perfectly smooth sphere. But that symmetry is continuous?—?the sphere looks the same no matter how much you turn it. Snowflakes and other crystals possess discrete symmetry?—?their appearance repeats itself only at specific distances in space. So you can think of them as space crystals.

Not long ago, physics Nobel laureate Frank Wilczek of MIT pondered the symmetry of space crystals and wondered: If there’s such a thing as space crystals and time is just another dimension like the three of space, then why can’t there be time crystals?

A time crystal would exhibit symmetry in time analogous to a snowflake’s symmetry in space. Just as rotating a snowflake repeats its patterns at specific regular distances in space, a time crystal would return to its initial configuration at regular intervals of time. Wilczek worked out a little math and discovered that there is,
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, no theoretical reason not to have time crystals,
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, but figuring out how to make one might be difficult.

Now,
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, though, physicists at the University of California, Berkeley and collaborators say they’ve found a way. In a paper published in the October 19 Physical Review Letters,
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, the Berkeley group proposes a design for a “spacetime crystal”?—?both a space crystal and a time crystal at the same time. (And at different times.)

This scheme calls for trapping ions,
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?—,
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?atoms carrying an electrical

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