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Spiral Mihai B

Spiral Mihai B
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2019-05-26 00:46
FunctionComplex NumberTransformationGeometric ConstructionGraphing
In collections EQUILATERAL TRIANGLE SPIRAL
This example demonstrates a dynamically generated spiral graph through point trajectories and geometric transformations. Core math concepts include arithmetic operations, complex numbers, linear functions, dilation, and quadratic equations. Construction highlights the use of GeoGebra commands like Polygon, OrthogonalLine, Intersect, and Line, along with objects such as A, B, poly1, etc. Suitable for high school and above, exploring complex function graphs and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. OrthogonalLine(C, f) → i
  3. Intersect(f, i) → D
  4. Polygon(C, D, 3) → poly2, j, k, l, E
  5. Intersect(g, k) → F
  6. Polygon(C, F, 3) → poly3, m, n, p, G
  7. Intersect(n, l) → H
  8. Polygon(C, H, 3) → poly4, q, r, s, I
  9. Intersect(r, p) → J
  10. Intersect(s, p) → K
  11. Polygon(C, J, 3) → poly5, t, a, b, L
  12. Intersect(s, a) → M
  13. Polygon(C, M, 3) → poly6, c, d, e, N
  14. Intersect(b, d) → O
  15. Polygon(C, O, 3) → poly7, f_1, g_1, h_1, P
  16. Intersect(g_1, e) → Q
  17. Polygon(C, Q, 3) → poly8, i_1, j_1, k_1, R
  18. Intersect(h_1, j_1) → S
  19. Polygon(C, S, 3) → poly9, l_1, m_1, n_1, T
  20. Intersect(k_1, m_1) → U
  21. Polygon(C, U, 3) → poly10, p_1, q_1, r_1, V
  22. Intersect(n_1, q_1) → W
  23. Polygon(C, W, 3) → poly11, s_1, t_1, a_1, Z
  24. Line(C, A) → b_1
  25. Line(B, C) → c_1
  26. Line(D, C) → d_1