Besides electronics, electricity is used to create heat or motion. This dish can focus heat. I still have to see if it will cook a hot dog. A sphere can also focus light like a parabola.
To collect and store mechanical wind energy, add up the energy of pinwheels and store energy in a grandfather-clock-style pendulum.
To make a pattern for a parabolic dish, divide the dish into 3 or more sections called “lunes” which will be hemispheric. The height of each pattern will be the length of a parabolic curve, from “further links” below. The width will be width w to a circle (w x 2 X pi X radius) / number of sections.
The CRC Handbook of Chemistry and Physics calculus formula for the derivative of a curve #274 for some reason produces a straight line.