A truss structure with an open-work skeleton of beam construction comprising octahedral units and tetrahedral units some of which have their apices in a first horizontal plane and the remainder have their apices in a second plane, the edges of each tetrahedral unit being the common edges of adjoining octahedral units. Beams are disposed along the edges of these octahedral and tetrahedral units. Rectangular panel members lying in the vertical planes defined by the tetrahedral unit edges are attached to those beams. Hexagonal panel members are disposed in the first and second planes. The rectangular and hexagonal panel members define cells in the form of hexagonal prisms.
