The invention discloses a spatial
rigid frame combined by regular polyhedrons comprising a
truncated octahedron, a cuboctahedron and a truncated
tetrahedron. A square surface of the cuboctahedron fits to a square surface of the
truncated octahedron; a regular hexagonal surface of the
truncated octahedron fits to a regular hexagonal surface of the truncated
tetrahedron; a regular triangular surface of the truncated
octahedron fits to a regular triangular surface of the cuboctahedron; and a basic unit is formed by fitting the truncated
octahedron, the cuboctahedron and the truncated
tetrahedron to each other. An array is formed by the basic unit along three orthogonal directions. An array rotating body is formed by rotating a spatial array around any spatial axis by any angle, thereby
cutting out a building space based on boundary ridges of a building. A spatial rod
system structure is formed concurrently by the finally formed ridges and the ridges of the truncated
octahedron, the ridges of the cuboctahedron, and the ridges of the truncated tetrahedron. The spatial
rigid frame combined by the regular polyhedrons is strong in anti-seismic property, high in
repeatability, small in building difficulty, substantially short in both the working hour and the construction period, accordingly the spatial
rigid frame combined by the regular polyhedrons can be applied to
spatial structure buildings of small and medium spans.