  Topological mechanical structures exhibit robust properties protected by
topological invariants. In this letter, we study a family of deformed square
lattices that display topologically protected zero-energy bulk modes analogous
to the massless fermion modes of Weyl semimetals. Our findings apply to
sufficiently complex lattices satisfying the Maxwell criterion of equal numbers
of constraints and degrees of freedom. We demonstrate that such systems exhibit
pairs of oppositely charged Weyl points, corresponding to zero-frequency bulk
modes, that can appear at the origin of the Brillouin zone and move away to the
zone edge (or return to the origin) where they annihilate. We prove that the
existence of these Weyl points leads to a wavenumber-dependent count of
topological mechanical states at free surfaces and domain walls.
