Abstract: The invention is arranged to include a plurality of various block-like members having configurations to include cubic, parallelepiped, and triangular cross-sectional configuration arranged for assemblage relative to one another, wherein each of the block members includes wall construction having a central opening directed therethrough, with each central opening including a surrounding annular flange recessed below each associated wall of each respective block member a predetermined thickness arranged to accommodate a resilient plug within an opening, having an annular flange equal to twice that predetermined thickness to permit securement of adjacent blocks together in a variety of shapes, as well as including replaceable panel plates, each including a panel plate ring having a ring thickness equal to the predetermined thickness received on the annular flange permitting altering of patterns, configurations, and theme upon associated blocks for use by children and the like.