Abstract: The present invention comprises a method and apparatus for constructing hexagonal structures. In forming a right hexagonal prism structure, three rectangular sections are constructed, each having two parallel end pieces of a preselected height and width, and having a length equal to the width of the end pieces times the square root of three. The sections are stacked and nested such that the edges of their end pieces touch the edges of adjacent end pieces, resulting in the rectangular sections being rotated 60.degree. with respect to one another around an axis. Adjacent end pieces are then connected together, with the six end pieces defining the sides of a right hexagonal prism. In forming a hexagonal surface structure, three rectangular units are constructed, each having two parallel end members of a preselected width, and having a length equal to the width of the end members times the square root of three. The units are stacked and nested in a manner similar to that for the right hexagonal prism structures.