The engineering principles behind tensegrity structures are based on the concept of isolated components in compression within a network of continuous tension. This creates a balance of forces that allows the structure to distribute loads evenly throughout the structure, rather than relying on a single support point.

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.

Overall, the engineering principles behind tensegrity structures are focused on creating lightweight, efficient, and dynamic structures that are able to withstand large loads and resist lateral forces.