Node shapes of prismatic symmetry for a space frame building system

A space frame building system composed of a plurality of nodes interconnected by a plurality of struts of substantially equal lengths and arranged in layered arrays, wherein

• the said nodes are derived from a regular p-sided prism, termed source prism, of any height and projected on to any curved surface of revolution, wherein
• said source prism is composed of (p+2) faces, termed source faces and comprising a top and bottom regular p-sided polygonal face joined by p rectangular side faces, 3p edges, termed source edges and comprising p edges each on the top and bottom faces joined by p edges along said side faces, and 2p vertices, termed source vertices and comprising p vertices each on said top and bottom faces.
• said surface of revolution has attachment locations for said struts, where said attachment locations correspond to the said source faces, said source edges and said source vertices,
• the directions of said struts are determined by any combination of axes obtained by joining the center of the said surface of revolution to any combination of points lying on the said surface of revolution and selected from the group comprising:
• the points corresponding to the said source vertices,
• the points corresponding to the mid-points of the said source faces,
• the points corresponding to the mid-points of the said source edges,
• or other positions on the said surface of revolution,
• wherein p is any number selected from the group consisting of:
• odd number greater than 3 when said arrays are non-periodic,
• even number greater than 6 when said arrays are non-periodic,
• odd number greater than 3 when said arrays are periodic, and
• even number greater than 8 when said arrays are periodic.