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Geometric Fidget Spinner

Geometric Fidget Spinner
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2017-06-15 21:31
CircleVectorTrigonometryCoordinate Geometry
In collections Algebra 1
This example demonstrates the construction of a dynamic geometric fidget spinner model using geometric shapes and trigonometric functions. Core math concepts include trigonometric functions, vector operations, coordinate geometry, and geometric constructions. Key GeoGebra commands and objects used are Circle, Intersect, Midpoint, CircumcircleArc, and Textfield, as outlined in the construction summary. Suitable for high school students and above to explore 2D geometry, vectors, and function applications, ideal for math education and enrichment activities.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → u
  2. Circle(P, 1.73) → c
  3. Intersect(c, u) → A, B, ,
  4. Midpoint(A, B) → D
  5. Midpoint(A, P) → E
  6. Midpoint(B, P) → F
  7. Midpoint(D, C) → G
  8. Midpoint(E, C) → H
  9. Midpoint(C, F) → I
  10. Circle(B, 0.25) → d_2
  11. Circle(P, 0.25) → e
  12. Circle(A, 0.25) → g_2
  13. Intersect(d_2, u) → J, K, ,
  14. Intersect(u, g_2) → L, M, ,
  15. Intersect(e, u) → O, Q, ,
  16. CircumcircleArc(M, G, K) → h_2
  17. CircumcircleArc(J, I, Q) → k
  18. CircumcircleArc(O, H, L) → p
  19. Circle(P, 0.4) → q
  20. Circle(B, 0.4) → t
  21. Circle(A, 0.4) → c_1
  22. Circle(N, 1.73) → d_1
  23. Intersect(d_1, u) → R, S, ,
  24. Circle(N, 0.25) → e_1
  25. Circle(S, 0.25) → f_1
  26. Circle(R, 0.25) → g_1
  27. Intersect(u, f_1) → T, U, ,
  28. Intersect(g_1, u) → V, W, ,
  29. Intersect(e_1, u) → Z, A_1, ,
  30. Midpoint(S, R) → B_1
  31. Midpoint(R, N) → C_1
  32. Midpoint(N, S) → D_1
  33. Midpoint(B_1, C) → E_1
  34. Midpoint(C_1, C) → F_1
  35. Midpoint(D_1, C) → G_1
  36. CircumcircleArc(T, E_1, V) → h_1
  37. CircumcircleArc(W, F_1, Z) → k_1
  38. CircumcircleArc(A_1, G_1, U) → p_1
  39. Circle(S, 0.4) → s_1
  40. Circle(R, 0.4) → r_1
  41. Circle(N, 0.4) → q_1
  42. Textfield(g) → InputBox1
  43. Textfield(g) → InputBox2
  44. Textfield(g) → InputBox3
  45. Textfield(g) → InputBox4
  46. Textfield(g) → InputBox5

AI Drawing Prompt Reference

Draw a dynamic geometric fidget spinner model with three concentric circles and three circles with radius 0.25, and three circles with radius 0.4. Define circles using their centers and radii, and construct the geometric shapes using intersections and midpoints. Start by drawing a circle with radius 1, then draw three circles with radius 1.73, followed by three circles with radius 0.25, and finally three circles with radius 0.4, constructing the various parts of the geometric shapes through intersections and midpoints.
The prompt above was compiled from the original drawing commands and is for reference only.