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Spiral Andreea M Example

Spiral Andreea M Example
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2019-05-26 00:51
CircleTrigonometryCoordinate GeometryTransformationGeometric Construction
In collections EQUILATERAL TRIANGLE SPIRAL
This example demonstrates the geometric construction of Spiral Andreea M, involving concepts like Expected Value, Logarithm, Circle, Dilation, and Similar Triangles. It utilizes GeoGebra commands such as Polygon, OrthogonalLine, Intersect, and Segment. Suitable for high school and advanced learners exploring geometric transformations and complex mathematical ideas.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. OrthogonalLine(A, g) → i
  3. Intersect(i, g) → D
  4. Segment(A, D) → j
  5. Polygon(A, D, 3) → poly2, k, l, m, E
  6. Intersect(f, h) → F
  7. Intersect(h, l) → G
  8. Polygon(A, G, 3) → poly3, n, p, q, H
  9. Intersect(m, p) → I
  10. Polygon(A, I, 3) → poly4, r, s, t, J
  11. Intersect(q, s) → K
  12. Polygon(A, K, 3) → poly5, a, b, c, L
  13. Intersect(b, poly4) → M, N
  14. Polygon(A, N, 3) → poly6, d, e, f_1, O
  15. Intersect(e, poly5) → P, Q
  16. Polygon(A, Q, 3) → poly7, g_1, h_1, i_1, R
  17. Intersect(h_1, f_1) → S
  18. Polygon(A, S, 3) → poly8, j_1, k_1, l_1, T
  19. Intersect(i_1, k_1) → U
  20. Polygon(A, U, 3) → poly9, m_1, n_1, p_1, V
  21. Intersect(l_1, n_1) → W
  22. Polygon(A, W, 3) → poly10, q_1, r_1, s_1, Z
  23. Intersect(f, h) → A_1
  24. Intersect(p_1, r_1) → B_1
  25. Polygon(A, B_1, 3) → poly11, t_1, a_1, b_1, C_1