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Spiral Catalin

Spiral Catalin
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2019-05-26 04:07
FunctionTransformationGeometric Construction
In collections EQUILATERAL TRIANGLE SPIRAL
This example demonstrates the construction of the Spiral Catalin. Key mathematical concepts include geometric transformations and functions. Using commands like Polygon, OrthogonalLine, Intersect, and Segment, the spiral can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a spiral pattern centered at point C. Start by drawing a triangle, then construct a series of equilateral triangles from each vertex, with each side perpendicular to the previous triangle's side, forming a spiral.
The prompt above was compiled from the original drawing commands and is for reference only.