1. Self-equilibrium and super-stability of truncated regular polyhedral tensegrity structures: a unified analytical solution by Li-Yuan Zhang, Yue Li, Yan-Ping Cao, Xi-Qiao Feng, and Huajian Gao Proceedings A Volume 468(2147):3323-3347 November 8, 2012 ©2012 by The Royal Society

2. Relationships of different states of tensegrity structures. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

3. Regular and truncated platonic solids: (a) regular polyhedra, (b) truncated regular polyhedra, (c) critical truncated polyhedra and (d) hyper-truncated polyhedra. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

4. Truncated regular tetrahedral tensegrity: (a) the edges and vertices of a truncated regular tetrahedron, and (b) the strings, bars and nodes of the corresponding truncated regular tetrahedral tensegrity. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

5. Self-equilibrium solutions with the minimum eigenvalue of force density matrix being negative, hence violating the positive semi-definite condition of super-stability for truncated regular (a) cubic, (b) octahedral, (c) dodecahedral and (d) icosahedral tens... Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

6. Un-truncated tetrahedron: (a) its geometry and (b) the corresponding tensegrity. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

7. Self-equilibrium and possibly super-stable solutions for truncated regular (a) tetrahedral, (b) cubic, (c) octahedral, (d) dodecahedral and (e) icosahedral tensegrities. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

8. Critical truncated tensegrity structures associated with (a) tetrahedron, (b) cube and octahedron, and (c) dodecahedron and icosahedron. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

9. A special self-equilibrated state of truncated tetrahedral tensegrity with zero force densities in the remaining-strings. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

10. Hyper-truncated tetrahedron: (a) its geometry and (b) the corresponding tensegrity. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society

11. Example self-equilibrated configurations of truncated regular polyhedral tensegrities which are (a) super-stable and (b) not super-stable. Li-Yuan Zhang et al. Proc. R. Soc. A 2012;468:3323-3347 ©2012 by The Royal Society