Euler's Formula and Conic Intersections Dynamic Demo

This GeoGebra example dynamically illustrates the geometric connection between Euler's formula (e^(iθ)=cosθ+i sinθ) and intersections of conic sections. Core mathematical concepts include complex numbers, conic sections (circles and ellipses), derivatives, cylinders, natural numbers, and dilation transformations. Construction highlights: the Intersect command finds intersection points between circles and conics, Circle and Polygon build base shapes, Segment connects key points, LaTeX text displays formulas, and sliders n, a, b control dynamic parameters. Suitable for high school to undergraduate students exploring the geometric meaning of complex numbers, conic properties, and Euler's formula, as well as for math lab activities or classroom demonstrations.