Implementation of Heart-Shaped and Rose Curve Plots in MATLAB

This article discusses how to create heart-shaped plots and rose curves using MATLAB. For heart-shaped plots, we can implement them either through polar coordinate equations (e.g., r = a(1 - cosθ)) or implicit function formulations (e.g., (x² + y² - 1)³ - x²y³ = 0). The polar coordinate approach requires using MATLAB's polarplot function to visualize the parametric equations, while implicit functions can be plotted using fimplicit with symbolic math toolbox. For rose curves, we utilize polar coordinate equations of the form r = a·cos(kθ) or r = a·sin(kθ), where the parameter k determines the number of petals. These mathematical visualizations have practical applications in creating Valentine's gifts, wedding decorations, birthday cards, and other special occasion designs. We will provide detailed MATLAB implementation methods including code examples demonstrating coordinate transformations, parameter adjustments, and visualization techniques to help users better understand the mathematical principles and programming approaches.