Visualizing Roots of Unity (Kopie von Roots of unity)

① This example dynamically displays the nth roots of unity on the complex plane, allowing students to observe how these roots are evenly spaced on the unit circle. ② Core mathematical concepts include complex numbers, roots of unity, Euler's formula, vertices of regular polygons, rotational symmetry, and the relation to solving z^n=1. ③ Construction highlights: using GeoGebra commands such as Sequence to generate n points, Segment to connect adjacent points forming a regular n-gon, Angle to mark central angles, and Element to extract list items; objects include slider n, lists list1/list2/list3, angle α, and points A1~A20, B1~B20, with the slider controlling n to animate changes in root positions. ④ Suitable for high school or pre-university students learning complex numbers and trigonometry, as well as for inquiry-based math lessons to deduce properties like symmetry, unit modulus, and angular spacing of 2π/n between consecutive roots.