In a preferred embodiment there are provided a plurality of building units all in a generic common shape in that circumscribing walls of the brick have a high wall at one portion and a low wall at an opposite extreme portion of the circumscribing walls thereof, with each brick having both male and female structures in the nature of an uprightly extending female groove and an uprightly extending male flange of corresponding cross-section, spaced-apart from one another such that spaced-apart portions are connectable to different other building blocks, typically the blocks having four upright walls differing in shape from one another in the definition of rectangular through-spaces, trapezoid through-spaces, squared through-spaces, and the like, the rectangular-space brick planter having a high rearward wall and low forward wall, and similarly the trapezoid-shaped brick planter having a high rearward wall and a low forward wall and the squared brick planters one squared planter being for the right hand corner and the other squared planter being for turning the left hand corners by virtue of these two types differing from one another in the opposite locations of their corresponding female grooves and male flange of each respectively. As a result of these combinations, unique designs may be build including also the decorating of peripheral area such as along a sidewalk and/or side-rail edging to steps between different levels.