Abstract: A wall assembly comprising a plurality of building blocks, each of the building blocks have first and second coextensive and parallel wall portions interconnected by a third wall portion, each of the wall portions being provided with grooves therein, and a lattice member comprising parallel and coextensive runner members interconnected by spreader members, the grooves being adapted to receive the lattice member, the lattice member being operative to interconnect and lock together the building blocks to form a wall structure.