Polar Coordinate Flower Pendant

youmagine

This Polar Coordinate System Flower Pendant was designed for Ultimaker's Design Engine Challenge Week 7. The challenge required designing an object that showcased math's beauty. Parameter cards for this challenge were "complex" and "private," with a gameplay card of "reverse," meaning one parameter could be expressed as its opposite. Many people view math as right or wrong, a practical tool. I see math as a beautiful, elegant way to grasp and describe the world around me. Plotting the equation r = 4cos(2θ) in polar coordinates creates a graph that resembles a flower. These graphs serve as small trinkets on a charm bracelet. The derivative is r = -8sin(4θ), which yields a bigger plot used as a pendant for a necklace. This solution is "complex" because it uses a graph of the derivative to generate the larger necklace pendant. Applying the "reverse" gameplay card to the "private" parameter card adds a twist, with the generated pieces worn as jewelry in public.