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To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained and detailed, with an abundance of figures and examples.

Engineering. --- Structural Mechanics. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Engineering Design. --- Interior Architecture. --- Nonlinear Dynamics. --- Mechanics. --- Cell aggregation --- Mechanical engineering. --- Engineering design. --- Ingénierie --- Mécanique --- Génie mécanique --- Conception technique --- Mathematics. --- Cell aggregation_xMathematics. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Design, Engineering --- Engineering --- Engineering, Mechanical --- Classical mechanics --- Newtonian mechanics --- Aggregation, Cell --- Cell patterning --- Design --- Manifolds (Mathematics). --- Complex manifolds. --- Statistical physics. --- Structural mechanics. --- Industrial design --- Strains and stresses --- Physics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Cell interaction --- Microbial aggregation --- Mechanics, Applied. --- Solid Mechanics. --- Interior Architecture and Design. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Classical Mechanics. --- Applied mechanics --- Engineering mathematics --- Interior architecture. --- Interiors. --- Mathematical statistics --- Architectural interiors --- Architecture, Interior --- Interior space (Architecture) --- Interiors --- Space (Architecture) --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Statistical methods