  Weyl-like magnon excitations in ordered magnets have attracted significant
recent attention. Despite of the tantalizing physics and application prospects,
the experimental observation of Weyl magnons is still challenging owing to
their extraordinarily high frequency that is not accessible to the microstrip
antenna technique. Here we predict gigahertz Weyl excitations in the collective
dynamics of dipolar-coupled magnetic vortices arranged in a three-dimensional
stacked honeycomb lattice. It is found that the inversion symmetry breaking
leads to the emergence of the type-II Weyl semimetal (WSM) state with tilted
dispersion. We derive the full phase diagram of the vortex arrays that support
WSMs with both single and double pairs of Weyl nodes, and the topological
insulator phase. We observe robust arc surface states in a dual-segment fashion
due to the tilted nature of type-II WSMs. Our findings uncover the
low-frequency WSM phase in magnetic texture based crystals that are
indispensable for future Weyltronic applications.
