Abstract: The present invention relates to a series of building blocks of different shapes, wherein each individual building block unit comprises a horizontal partition plate (2) which divides the unit block into upper and lower compartments, a supporting partition wall (1) wherein on the surface of supporting partition wall (1) at the upper compartment of the unit there is a row of equi-spaced hole. One of the characteristics of the building blocks is that three of the faces of the block are not enclosed by any plate. The block units may have a square, rectangular, semicircular or circular shape. The block units may also have a triangular, sector, trapezium or a truncated sector shape, each of the last four shapes having an angle of either 60.degree., 72.degree. or 90.degree.. Hence, there are altogether 16 types of blocks which can be arranged in many geometric shapes.