Abstract: A primary geodesic type building, comprising five sub-assembly units, including an uppermost regular octagonal roof unit supported on alternate edges by four identical regular hexagonal units in quadripod fashion to form a generally hemispherical space capturing structure, spaces between the hexagonal units being closed by four square panels and four isoceles trapezoids. Said structure may be supported on upstanding flat wall units, to form a building of greater height having a substantially square shape to efficiently capture space therein. Said buildings may be connected directly or by suitable connecting structures, which may include a geodesic type roof comprising fifteen identical isoceles triangular panels connected at their leg edges to form a ridged structure having an equilateral regular pentagonal base.