Abstract: A system for constructing spatial structures includes a nucleus into which a series of tubes lead, the tubes connecting adjacent nuclei. The nucleus is substantially spherical and hollow and is formed to two helmet-shaped pieces of different heights, having in their corresponding mouthpieces, flat annular fins which, when confronting each other, form flanges for coupling, by means of screws, the two pieces. The surface of the hollow sphere forming the nucleus has flat, round, annular, surfaced openings suitable for receiving the ends of the tubes to form the structure.

Abstract: In furniture construction a joint is formed between an upright post and the dovetail shaped end of a rail member by the clamping action of a pair of disc-shaped cap members having coaxially slanted interior peripheral portions that mate with the notches of the dovetail rail end. The cap members are mounted on an axially extending rod, and screw threads allow one of the cap members to be rotated into clamping position. A sleeve on the rod and extending between the cap members has vertical ribs for interfitting with vertical grooves in the ends of rail members to prevent overturning of the rail members. In certain embodiments, provision is made for preloading of joint elements. Various arrangements of joined elements make a wide range of furniture assemblies possible.

Abstract: Furniture and room components are assembled in various combinations to form a wide variety of furniture units or room partition units, with the units easily disassembled when desired. The components include vertical support members, horizontal connecting members and connecting joints therefor.

Abstract: Homohedral construction is a building and truss system based on the regular icosahedron. It is analogous to the standard building or truss system based on the cube, which is characterized by 90.degree. corners and edges on its struts and planar surfaces.