Abstract: An assembly of interconnected blocks such, as lightweight concrete, rock, or wood blocks, in combination with crossed ties means used for attaching blocks two by two while keeping them in a stable spaced apart position. The crossed ties comprise a rectangular shape wherein opposite corners are joined by straight links which resist shear forces due to wind, storm, tornadoes, landslides or earthquake. They comprise furthermore pegs which attach the blocks two by two when pressing pegs into notches dug on upper or lower surfaces of the blocks or on their sides. The blocks are then made with, notches on upper or lower surfaces of the blocks, and on their sides, which correspond to positions of pressing pegs, to interconnect blocks together. Such pegs are provided to mesh with critical positions in the blocks for stable junctions.