  Propagation of monochromatic extraordinary light in a hyperbolic metamaterial
is identical to propagation of massive particles in a three dimensional
effective Minkowski spacetime, in which the role of a timelike variable is
played by one of the spatial coordinates. We demonstrate that this analogy may
be used to build a metamaterial model of a time crystal, which has been
recently suggested by Wilczek and Shapere. It is interesting to note that the
effective single-particle energy spectrum in such a model does not contain a
static ground state, thus providing a loophole in the proof of time crystal
non-existence by P. Bruno.
