Kopia: Geometric Roots of Unity for n-th Roots

This GeoGebra example visualizes the nth roots of unity by plotting their positions on a plane (typically interpreted as the complex plane). It helps students infer fundamental properties—such as circular/equidistant placement and symmetry—from the pattern of points. The key mathematics includes nth roots of unity, their angular parameterization, and the relationship between each root and its corresponding central angle. Construction highlights: it uses Sequence to generate indexed parameter sets (e.g., lists of candidates for roots/angles), Segment to draw radial connections from a reference point or center to each root, Angle to create and control the central angles, and Element to reference and organize the constructed objects. The model relies on objects like n, list1/list2/list3, α, and point collections such as A1–A20 and B1–B14 to display roots individually and support pattern-based reasoning. Suitable for upper secondary through early university courses in complex numbers, geometry construction, and visualization-based learning.