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Clock Simulation

Clock Simulation
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2020-04-07 04:11
CircleAngleTransformation
This example demonstrates how to simulate a clock using GeoGebra. Key mathematical concepts include angles and transformations. Using commands like Circle, Dilate, and Rotate, the hour and minute hands of a clock are constructed. Suitable for high-grade elementary or junior high school students to learn about time and geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Dilate(c, 0.75, A) → c'
  3. Point(c') → C
  4. Dilate(C, 4 / 3, A) → C_1
  5. Angle(C_1, A, B) → α
  6. If(G_m ≟ 60, 0, G_m) → G_{m1}
  7. Rotate(B, (-(30°)), A) → B'
  8. Rotate(B, (-(60°)), A) → B'_1
  9. Rotate(B, (-(90°)), A) → B'_2
  10. Rotate(B, (-(120°)), A) → B'_3
  11. Rotate(B, (-(150°)), A) → B'_4
  12. Rotate(B, (-(180°)), A) → B'_5
  13. Rotate(B, (-(210°)), A) → B'_6
  14. Rotate(B, (-(240°)), A) → B'_7
  15. Rotate(B, (-(270°)), A) → B'_8
  16. Rotate(B, (-(300°)), A) → B'_9
  17. Rotate(B, (-(330°)), A) → B'_{10}
  18. Random(1, 12) → Th
  19. RandomElement(Minute_1) → Minute
  20. Dilate(c, 0.5, A) → c''
  21. Point(c'') → D
  22. FromBase(Minute, 10) → Tm
  23. Rotate(B, (Th / 12 * (-(360°))) + (((-Tm)) / 720 * 360°), A) → Z
  24. Dilate(Z, 0.5, A) → Z_1
  25. Rotate(B, (Tm / 60 * (-(360°))), A) → Y
  26. Dilate(Y, 0.75, A) → Y_1
  27. Segment(A, Y_1) → f
  28. Segment(A, Z_1) → g
  29. Segment(A, D) → h
  30. Segment(A, C) → i
  31. Circle(C, 0.2) → d
  32. Intersect(d, i) → E,
  33. Rotate(E, 45°, C) → E'
  34. Rotate(E, (-(45°)), C) → E'_1
  35. Segment(E'_1, C) → j
  36. Segment(C, E') → k
  37. Circle(D, 0.2) → p
  38. Intersect(p, h) → F,
  39. Rotate(F, (-(45°)), D) → F'
  40. Rotate(F, 45°, D) → F'_1
  41. Segment(D, F') → l
  42. Segment(D, F'_1) → m
  43. Circle(Z_1, 0.2) → e
  44. Circle(Y_1, 0.2) → q
  45. Intersect(q, f, 1) → G
  46. Intersect(e, g, 1) → I
  47. Rotate(I, 45°, Z_1) → I'
  48. Rotate(G, 45°, Y_1) → G'
  49. Rotate(I, (-(45°)), Z_1) → I'_1
  50. Rotate(G, (-(45°)), Y_1) → G'_1
  51. Segment(Y_1, G') → n
  52. Segment(Y_1, G'_1) → r
  53. Segment(Z_1, I') → s
  54. If(G_{m1} < 10, ("0" * G_{m1}), Text[G_{m1}]) → text5
  55. Segment(Z_1, I'_1) → t
  56. If(H ≟ 0, 12, H) → H_1

AI Drawing Prompt Reference

Draw a clock with an hour hand, minute hand, and second hand. Start by drawing a circle as the clock face, then create the hour and minute hands through scaling and rotating. Randomly select an hour and minute, and use these to calculate the positions of the hour and minute hands. Finally, add the second hand and rotate it around the center point to make it appear as if it's moving.
The prompt above was compiled from the original drawing commands and is for reference only.