Abstract: A wall comprising superposed rows of aligned conventional building blocks having approximately parallel front and back faces connected by a plurality of transverse webs defining chambers therebetween is disclosed in which the tops and bottoms of the blocks are formed to include uniformly spaced apart ball-receiving depressions positioned so that the depressions in the tops of each block mate with the depressions in the bottoms of the block above it. Balls are fitted into the space defined by the mating depressions, these being slightly larger than the mating depressions to space the blocks, and the depressions in the tops of each block are machined to a specific limit in relation to the height of the block so that the interconnection of the blocks by the balls aligns the blocks.