  A class of 3d $\mathcal{N}=2$ supersymmetric gauge theories are constructed
and shown to encode the simplicial geometries in 4-dimensions. The gauge
theories are defined by applying the Dimofte-Gaiotto-Gukov construction in
3d/3d correspondence to certain graph complement 3-manifolds. Given a gauge
theory in this class, the massive supersymmetric vacua of the theory contain
the classical geometries on a 4d simplicial complex. The corresponding 4d
simplicial geometries are locally constant curvature (either dS or AdS), in the
sense that they are made by gluing geometrical 4-simplices of the same constant
curvature. When the simplicial complex is sufficiently refined, the simplicial
geometries can approximate all possible smooth geometries on 4-manifold. At the
quantum level, we propose that a class of holomorphic blocks defined in
arXiv:1211.1986 from the 3d $\mathcal{N}=2$ gauge theories are wave functions
of quantum 4d simplicial geometries. In the semiclassical limit, the asymptotic
behavior of holomorphic block reproduces the classical action of 4d
Einstein-Hilbert gravity in the simplicial context.
