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Modified Pythagoras Tree

Modified Pythagoras Tree
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2020-03-01 06:00
VectorGeometric Construction
This example demonstrates a modified Pythagoras tree, involving fractal geometry and vector transformations. By using commands such as point, midpoint, orthogonal line, mirror, and polygon, a fractal-like tree structure can be constructed. Suitable for high school mathematics education, particularly for learning geometry and fractal geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. levo(B, A) → C, D, t1, l, E, q1, f, g, h, i, j, k
  3. Midpoint(E, D) → F
  4. OrthogonalLine(F, j) → m
  5. Mirror(C, m) → C'
  6. Polygon(E, D, C') → t2, c', e, d
  7. desno(E, C') → G, H, a, q2, n, p, q, r, t3, s, t
  8. Point(s) → I
  9. desno(H, I) → J, K, j_1, q3, b, c, f_1, g_1, t4, h_1, i_1
  10. levo(D, C) → L, M, t5, r_1, N, q4, k_1, l_1, m_1, n_1, p_1, q_1
  11. levo(M, L) → O, P, t6, e_1, Q, q5, s_1, t_1, a_1, b_1, c_1, d_1
  12. levo(P, O) → R, S, t7, l_2, T, q6, f_2, g_2, h_2, i_2, j_2, k_2
  13. levo(S, R) → U, V, t8, t_2, W, q7, m_2, n_2, p_2, q_2, r_2, s_2
  14. desno(K, Z) → A_1, B_1, g_3, q8, a_2, b_2, c_2, d_2, t9, e_2, f_3
  15. Intersect(f_3, e_2) → C_1
  16. desno(B_1, C_1) → D_1, E_1, n_3, q9, h_3, i_3, j_3, k_3, t10, l_3, m_3