Andrei Spiral: Geometric Construction with Rotation and Pythagorean Theorem

This example demonstrates a spiral-like geometric figure formed by nested polygons created through successive rotations and right-triangle constructions. The core mathematical concepts involve rotation, the Pythagorean theorem, geometric transformations, and fractions used in proportional scaling. Construction highlights: using GeoGebra commands such as Polygon, OrthogonalLine, Intersect, and Point, with objects A, B, poly1, f, g, h, C, i, D, poly2, j, k, l, E, F, poly3, m, n, p, G, H, poly4, q, r, s, I, J, poly5, t, a, b, K, L, poly6, c, d, e, M, N, poly7. The process repeatedly constructs perpendicular lines, finds intersections, and builds new polygons, creating a chain that visually spirals outward. Suitable for middle and high school students learning geometric transformations, Pythagorean theorem applications, and dynamic geometry, as well as for teachers demonstrating rotation and proportional relationships.