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GeoGebra Gown

GeoGebra Gown
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2022-12-17 08:51
FunctionTrigonometryGeometric Construction
In collections Use Cases of GeoGebra Function Arts
This GeoGebra example demonstrates how to use the geometric construction tool to draw a complex gown pattern. Core mathematical concepts include functions and trigonometric functions. By using commands like Point, CircumcircleArc, and IntegralBetween, a beautiful geometric figure can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(a) → D
  2. Point(c) → E
  3. Point(t_1) → H
  4. Point(a) → I
  5. Point(b) → J
  6. Point(d) → K
  7. Point(q_1) → L
  8. CircumcircleArc(D, E, G) → e
  9. Point(r_1) → M
  10. CircumcircleArc(H, J, M) → k
  11. IntegralBetween(p(x), q(x), -4.2, 0.8) → a_{1}
  12. IntegralBetween(q_1(x), q(x), -5.7, -4.2) → b_{1}
  13. IntegralBetween(q_1(x), q(x), -5.7, -4.2) → c_{1}
  14. IntegralBetween(f_1(x), h_1(x), -2.14, 0.82) → d_{1}
  15. IntegralBetween(s(x), t(x), -1.35, 0.74) → j
  16. IntegralBetween(f(x), g(x), -0.83, 0.64) → h
  17. IntegralBetween(c(x), d(x), -0.75, 0.54) → l
  18. IntegralBetween(a(x), b(x), -0.9, 0.54) → m
  19. IntegralBetween(b(x), c(x), -0.81, 0.54) → n
  20. IntegralBetween(d(x), f(x), -0.75, 0.54) → o
  21. IntegralBetween(g(x), s(x), -0.98, 0.64) → r
  22. IntegralBetween(q_1(x), s(x), -1.35, -0.98) → u
  23. IntegralBetween(q_1(x), g(x), -0.98, -0.83) → v
  24. IntegralBetween(t(x), f_1(x), -1.45, 0.74) → w
  25. IntegralBetween(q_1(x), f_1(x), -2.14, -1.45) → e_1
  26. IntegralBetween(q_1(x), h_1(x), -3.12, -2.14) → i
  27. IntegralBetween(h_1(x), p(x), -3.12, 0.87) → g_1
  28. IntegralBetween(q_1(x), p(x), -4.27, -3.12) → i_1
  29. IntegralBetween(q(x), p_1(x), -1.75, 0) → j_1
  30. IntegralBetween(g_2(x), p_1(x), 0, 0.38) → k_1
  31. IntegralBetween(q(x), g_2(x), -0.02, 0.9) → l_1
  32. IntegralBetween(r_2(x), g_2(x), 0.95, 2.45) → m_1
  33. IntegralBetween(r_1(x), r_2(x), 0.95, 3.03) → n_1
  34. IntegralBetween(s_1(x), r_2(x), 3.03, 6) → o_1
  35. IntegralBetween(t_1(x), a(x), -0.04, 0.56) → u_1
  36. IntegralBetween(t_1(x), f_2(x), 0.56, 0.87) → v_1

AI Drawing Prompt Reference

Draw a complex geometric figure consisting of points, circular arcs, and integral regions. The figure includes points D, E, H, I, J, K, L, and connections via arcs e and k. Integral regions a1, b1, c1, d1, j, h, l, m, n, o, r, u, v, w, e1, i, g1, i1, j1, k1, l1, m1, n1, o1, u1, and v1 form various areas. These regions are connected through function relationships, creating a complex geometric pattern suitable for mathematical education.
The prompt above was compiled from the original drawing commands and is for reference only.