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Cobweb Diagram Visualization

Cobweb Diagram Visualization
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2017-04-27 11:13
FunctionCalculusGeometric Construction
This example demonstrates cobweb diagrams, visualizing the dynamic behavior of iterative function sequences. Key math concepts include function iteration, difference equations, slope analysis, and angle relationships. Construction highlights involve using GeoGebra's Segment and Textfield commands to plot function graphs, points, and dynamic connections. Suitable for high school and above learners studying discrete dynamical systems and function iteration properties.

GeoGebra Commands & Parameters

  1. Segment(U, B) → h
  2. Segment(B, V) → i
  3. Segment(V, C) → j
  4. Segment(C, W) → k
  5. Segment(W, D) → l
  6. Segment(D, Z) → m
  7. Segment(Z, E) → n
  8. Segment(E, A_1) → p
  9. Segment(A_1, F) → q
  10. Segment(B_1, F) → r
  11. Segment(B_1, G) → s
  12. Segment(G, C_1) → t
  13. Segment(C_1, H) → a
  14. Segment(H, D_1) → b
  15. Segment(D_1, I) → c
  16. Segment(I, E_1) → d
  17. Segment(E_1, J) → e
  18. Segment(J, F_1) → f_1
  19. Segment(F_1, K) → g_1
  20. Segment(K, G_1) → h_1
  21. Segment(G_1, L) → i_1
  22. Segment(L, H_1) → j_1
  23. Segment(H_1, M) → k_1
  24. Segment(M, I_1) → l_1
  25. Segment(I_1, N) → m_1
  26. Segment(N, J_1) → n_1
  27. Segment(J_1, O) → p_1
  28. Segment(O, K_1) → q_1
  29. Segment(K_1, P) → r_1
  30. Segment(P, L_1) → s_1
  31. Segment(L_1, Q) → t_1
  32. Segment(Q, M_1) → a_1
  33. Segment(M_1, R) → b_1
  34. Segment(R, N_1) → c_1
  35. Segment(N_1, S) → d_1
  36. Segment(S, O_1) → e_1
  37. Segment(O_1, T) → f_2
  38. Textfield(g) → InputBox1
  39. Textfield(B1) → InputBox2