Tensegrity = Tensile + Integrity
Tensegrity structure is a system of the simplest structural elements, compressed components within a network of tension elements.google.com Both of tensioned and compressed elements are acting as the one dimensional deformation.
Tensile members are connected continuously forming into network.
Compression members resist compressive forces which are transfered through tension network. 
Some key engineering principles involved in the design and construction of tensegrity structures include:

• 1. Equilibrium: Tensegrity structures are designed to achieve equilibrium, with the forces of compression and tension working together to balance and support the structure.
• 2. Load distribution: The use of a network of cables in tension allows for the load to be distributed evenly throughout the structure, rather than relying on a single support point.
• 3. Stability: Tensegrity structures are highly stable, as the balance of forces within the structure allows it to resist lateral forces and remain upright.
• 4. Efficiency: Tensegrity structures are highly efficient, as they require fewer materials and can be assembled more quickly, reducing construction time and costs.
• 5. Flexibility: Tensegrity structures are able to adjust to different loads and forces, allowing for a greater range of motion and flexibility.

Oldest large tensegrity structure is
Munich Olympic Stadium Roof.