  The notion of higher-order topological insulators has endowed materials with
topological states beyond the first order. Particularly, a three-dimensional
(3D) higher-order topological insulator can host topologically protected 1D
hinge states, referred to as the second-order topological insulator, or 0D
corner states, referred to as the third-order topological insulator. Similarly,
a 3D higher-order topological semimetal can be envisaged if it hosts states on
the 1D hinges. Here we report the realization of a second-order topological
Weyl semimetal in a 3D-printed acoustic crystal, which possesses Weyl points in
3D momentum space, 2D Fermi arc states on surfaces and 1D gapless states on
hinges. Like the arc surface states, the hinge states also connect the
projections of the Weyl points. Our experimental results evidence the existence
of the higher-order topological semimetal, which may pave the way towards
innovative acoustic devices.
