Complex Symmetry Maze: Polygon Sequence and Symmetry Transformations

① This example constructs a complex polygon by connecting a series of labeled points (e.g., A_1, B_1, C_1, ..., I_3) in a specific order, creating a maze-like symmetric figure that visually demonstrates symmetry and iterative structures in the complex plane. ② Core mathematical concepts include complex numbers, symmetry transformations (rotation, reflection), set-theoretic point constructions, and potential connections to piecewise functions and upper/lower Riemann sums, highlighting interdisciplinary mathematics. ③ Construction highlights: The primary GeoGebra command is Polygon, which sequentially connects numerous named points (I_3, H_3, Z_2, W_2, V_2, U_2, T_2, S_2, R_2, Q_2, G_2, P_2, O_2, N_2, M_2, L_2, J_2, I_2, H_2, P_1, D_1, C_1, B_1, A_1, Z, Q, P, O, N, M, L, K, J, H, G, F, E, E_1, F_1, G_1), likely generated via complex iterations or symmetry transformations, to form a closed polygon. ④ Suitable for high school to university-level mathematics education, this example is ideal for exploring complex geometry, symmetry, sequence construction, and advanced GeoGebra techniques, as well as for mathematical art or competition extensions.