Metallic Ratios: Regular Polygon Spirals
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This example demonstrates the creation of regular polygon spirals at different ratios. It involves core mathematical concepts such as dilation, ratios, statistics, confidence intervals, and 3D vectors. The construction utilizes GeoGebra commands like Polygon, simpoly, sliders, and objects including n, m, A, B, poly1, f, g, h, i, q, s, a, c, f_1, h_1, j_1, l_1, C, D, E_1, G_1, I_1, K_1, M_1, O_1, Q_1, S_1, d, E, poly2, j, k, l, p, r, t, b, e, g_1, i_1. It is suitable for high school and above students to understand geometric transformations and parametric graphing.
GeoGebra Commands & Parameters
Polygon(A, B, m) → poly1, f, h_1, j_1, l_1, C, D, E_1, G_1, I_1, K_1, M_1, g, O_1, Q_1, S_1, h, i, q, s, a, c, f_1Polygon(C, E, m) → poly2, j, i_1, k_1, m_1, F, G, F_1, H_1, J_1, L_1, N_1, k, P_1, R_1, T_1, l, p, r, t, b, e, g_1simpoly(C, E, n, m) → q1, H, I, Jsimpoly(F, H, n, m) → q2, K, L, Msimpoly(I, K, n, m) → q3, N, O, Psimpoly(L, N, n, m) → q4, Q, R, Ssimpoly(O, Q, n, m) → q5, T, U, Vsimpoly(R, T, n, m) → q6, W, Z, A_1simpoly(U, W, n, m) → q7, B_1, C_1, D_1