The discussion focuses on the energy storage density of coiled springs made from materials like steel, titanium, carbon fiber, and carbon nanotubes. The energy stored in a spring is determined by the formula 1/2*K*x^2, emphasizing the importance of large deflection and high yield strength. Titanium is highlighted for its high yield point, while carbon fiber is noted for its lightweight properties but limited deflection due to stiffness. Theoretical calculations for specific spring dimensions and materials are suggested, with a mention of leaf springs as a simpler alternative. Quartz is also mentioned as a viable material for springs due to its lack of hysteresis.