Thorben's First Geogebra Work
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In collections
polygons (GER)
This example demonstrates geometric relationships involving rotation, set theory, equilateral triangles, circles, difference, and slope. Key math concepts include rotation, set operations, properties of equilateral triangles, circle geometry, difference calculation, and slope analysis. Construction highlights Polygon, Midpoint, and Intersect commands/objects from GeoGebra. Suitable for high school mathematics teaching to illustrate geometric transformations and computational methods.
GeoGebra Commands & Parameters
Polygon(S, T, 10) → Vieleck1, j, m_1, U, V, W, Z, A_1, B_1, C_1, D_1, l, m, n, a, b, i_1, j_1, l_1Midpoint(S, Z) → E_1Polygon(E_1, V, 10) → Vieleck2, n_1, l_2, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, a_1, b_1, f_2, g_2, h_2, i_2, j_2, k_2Polygon(E_1, W, 10) → Vieleck3, m_2, e_2, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, n_2, p_2, q_2, r_2, s_2, t_2, a_2, b_2Polygon(E_1, Z, 10) → Vieleck4, f_3, p_3, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, g_3, h_3, i_3, j_3, k_3, l_3, m_3, n_3Polygon(E_1, B_1, 10) → Vieleck6, g_4, q_4, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, h_4, i_4, j_4, k_4, l_4, m_4, n_4, p_4Polygon(E_1, C_1, 10) → Vieleck7, r_4, g_5, V_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, s_4, t_4, a_4, b_4, c_4, d_4, e_4, f_5Polygon(E_1, D_1, 10) → Vieleck8, h_5, r_5, F_3, G_3, H_3, I_3, J_3, K_3, L_3, M_3, i_5, j_5, k_5, l_5, m_5, n_5, p_5, q_5Polygon(E_1, S, 10) → Vieleck9, s_5, h_6, N_3, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, t_5, a_5, b_5, c_5, d_5, e_5, f_6, g_6Polygon(E_1, C_1, 10) → Vieleck10, i_6, s_6, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, j_6, k_6, l_6, m_6, n_6, p_6, q_6, r_6Polygon(B_1, C_1, E_1, A_1) → v1, f, c_1, e_1, gPolygon(E_1, A_1, B_1) → d1, h, i, kPolygon(A_1, Z, E_1) → d2, p, q, z_1Polygon(Z, E_1, W) → d3, w, z_2, rPolygon(W, E_1, V) → d4, v, w_1, sPolygon(E_1, T, U) → d5, u, t, t_1Polygon(E_1, S, T) → d6, t_6, c, s_1Polygon(E_1, D_1, S) → d7, s_7, d, d_1Polygon(Z, W, E_1) → d8, e, z_3, w_2Intersect(l_2, e_2) → APolygon(A, U, 10) → Vieleck5, f_1, q_3, C, D, E, F, G, H, I, J, g_1, h_1, k_1, p_1, q_1, r_1, c_2, d_2
AI Drawing Prompt Reference
Create a figure with multiple equilateral triangles and circles. Start by drawing an equilateral triangle, then rotate it around its vertices to generate more triangles and circles. Next, draw several quadrilaterals and pentagons. Finally, connect specific points to form new polygons. The figure demonstrates rotation, set operations, properties of equilateral triangles, circle geometry, difference calculation, and slope analysis.
The prompt above was compiled from the original drawing commands and is for reference only.