A 3D construction module comprising at least one vertically upstanding panel with first and second mesh layers oriented generally transversely and longitudinally. The first and second mesh layers have at least one rod member mounted to said panel and are vertically spaced from each other. The rod members form a first horizontally projected retention cell to restrict translation of a bar held in said retention cell between said first and second mesh layers. A third mesh can also be provided to form a second retention cell between said second and third mesh layers. The first and second retention cells restrict translation movement longitudinally and transversely of a vertical reinforcement member held in said first and second retention cells, and restrict rotation of the vertical reinforcement member about both a longitudinal axis and a transverse axis of the said 3D construction module. Horizontal reinforcement meshes are features of the invention. Other features of the invention include a trough for holding melted panel material, connectors for connecting rods to panels and associated stopper members. Also included are bracers for joining connectors and other devices related to panel connections.