Thorben's First Geogebra Work

Thorben's First Geogebra Work
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2018-11-23 16:55
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

  1. 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_1
  2. Midpoint(S, Z) → E_1
  3. Polygon(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_2
  4. Polygon(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_2
  5. Polygon(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_3
  6. Polygon(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_4
  7. Polygon(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_5
  8. Polygon(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_5
  9. Polygon(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_6
  10. Polygon(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_6
  11. Polygon(B_1, C_1, E_1, A_1) → v1, f, c_1, e_1, g
  12. Polygon(E_1, A_1, B_1) → d1, h, i, k
  13. Polygon(A_1, Z, E_1) → d2, p, q, z_1
  14. Polygon(Z, E_1, W) → d3, w, z_2, r
  15. Polygon(W, E_1, V) → d4, v, w_1, s
  16. Polygon(E_1, T, U) → d5, u, t, t_1
  17. Polygon(E_1, S, T) → d6, t_6, c, s_1
  18. Polygon(E_1, D_1, S) → d7, s_7, d, d_1
  19. Polygon(Z, W, E_1) → d8, e, z_3, w_2
  20. Intersect(l_2, e_2) → A
  21. Polygon(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.