The paper investigates the behaviour of a new type of space structure. The new multi-reciprocal grid (MRG) structure is generated by mutually supporting members with only two members intersecting at any time. Although the concept itself is very old, it has been extended to create a variety of fascinating three-dimensional grids. A scientific basis for the generation of the geometry of these grids is established and discussed. The new structure is demountable, transportable, and quick to re-assemble. The new structure may be particularly useful in emergency situations where rapid construction of shelters is needed.