Parametric curve - Puzzle Ninja logo

Author:
talljerome
This GeoGebra construction MAY NOT RUN WELL within a web browser or on older/less-powerful devices. The parametric x(t)-y(t) pair that generates this curve is very long. You may prefer to download the .ggb file and open in the GeoGebra Classic desktop app.
Examples of parametric curves, created by single pairs of non-piecewise parametric equations. I came up with the method for creating such curves (or at least if someone else beat me to it, I'm unaware of it). My method utilizes and reinforces high school level Math skills (domain/range, function transformations, function addition, function composition, writing sinusoid equations, parametric equations). Inspired by the "Batman Equation" of 2011 and Wolfram Alpha's "person curves." Instructional how-to video here: https://youtu.be/oaIsCJw0QG8

Puzzle Ninja curve - single, non-piecewise, X(t) and Y(t) pair of equations

Puzzle Ninja curve - single, non-piecewise, X(t) and Y(t) pair of equations
(parts of equation displayed in blue define the parts of the design that are symmetric about the y-axis)