Abstract: In accordance with one aspect, a wall construction system includes a plurality of blocks configured to interfit in multiple courses with aligned interior voids being defined by the blocks. At least one shim is disposed between two of the plurality of blocks, wherein each shim includes a main body having a curved surface including a portion having a non-constant radius of curvature. In addition, a cementitious material is disposed in the aligned interior voids.

Abstract: A wall construction system includes multiple block types that interfit with one another to form walls in a staggered arrangement. Block types include jamb blocks having front and back surfaces, a planar surface on a first end, and a second side having a projecting surface or a receiving surface configured to mate with the projecting surface. The jamb block includes a top mating surface and a bottom mating surface configured to mate with the top mating surface. Webs extend from the front surface to the back surface to form voids. A multi-directional elevation is formed over a void adjacent the planar surface to permit stacking of blocks in two orientations. Other block types include a half jamb block having a web to form a void and a planar surface, and a web stretcher having a projecting surface on one end and a receiving surface on another end.