Love in Math Formulas: Drawing a Heart with Functions and Geometry

① This example demonstrates how to draw a classic heart shape using mathematical formulas and geometric transformations in GeoGebra, showcasing the beauty of mathematics. ② Core mathematical concepts include circles, conic sections, trigonometric functions, tangent lines, symmetry, linear equations, statistics/correlation, and optimization problems, integrating function graphing with geometric construction. ③ Construction highlights: using GeoGebra commands such as Translate, Intersect, Vector, and Mirror, along with numerous objects (a3, a2, f, g, e, i, b, eq1, c, d, h, j, k, q, A, l, B, m, p, eq2, r, eq3, a, s, t, n, u, t1, t2, f8, etc.) to build the heart outline through parametric equations and function combinations. ④ Suitable for middle school to university students, useful for exploring function graphs, geometric transformations, and mathematical modeling, and can serve as a math-art project or Valentine's Day teaching material.