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24 Point Circle

24 Point Circle
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2017-03-09 14:51
CircleVectorCoordinate GeometryGeometric Construction
In collections Star Drawings
This example demonstrates a circle constructed from 24 points and its related geometric properties. Core math concepts include circle, coordinate geometry, vector operations, and geometric construction. Construction highlights involve point objects (A1-A24), center point O, vector objects (B1-C6), and circle object c. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. 0
  2. 15
  3. Numeric A3(30)
  4. Numeric A4(45)
  5. Numeric A5(60)
  6. Numeric A6(75)
  7. Numeric A7(90)
  8. Numeric A8(105)
  9. Numeric A9(120)
  10. Numeric A10(135)
  11. Numeric A11(150)
  12. Numeric A12(165)
  13. Numeric A13(180)
  14. Numeric A14(195)
  15. Numeric A15(210)
  16. Numeric A16(225)
  17. Numeric A17(240)
  18. Numeric A18(255)
  19. Numeric A19(270)
  20. Numeric A20(285)
  21. Numeric A21(300)
  22. Numeric A22(315)
  23. Numeric A23(330)
  24. Numeric A24(345)
  25. Conic c
  26. (0, 0)
  27. cos(A1°)
  28. sin(A1°)
  29. cos(A2°)
  30. sin(A2°)
  31. cos(A3°)
  32. sin(A3°)
  33. cos(A4°)
  34. sin(A4°)
  35. cos(A5°)
  36. sin(A5°)
  37. cos(A6°)
  38. sin(A6°)
  39. cos(A7°)
  40. sin(A7°)
  41. cos(A8°)
  42. sin(A8°)
  43. cos(A9°)
  44. sin(A9°)
  45. cos(A10°)
  46. sin(A10°)
  47. cos(A11°)
  48. sin(A11°)
  49. cos(A12°)
  50. sin(A12°)
  51. cos(A13°)
  52. sin(A13°)
  53. cos(A14°)
  54. sin(A14°)
  55. cos(A15°)
  56. sin(A15°)
  57. cos(A16°)
  58. sin(A16°)
  59. cos(A17°)
  60. sin(A17°)

AI Drawing Prompt Reference

Draw a circle centered at the origin with 24 equally spaced points on its circumference, starting at 0 degrees and incrementing by 15 degrees. Connect each adjacent pair of points to form a regular 24-gon inscribed in the circle. Also draw radii from the center to each point. Highlight some intersections of radii and chords with dashed lines or different colors to illustrate geometric properties. The final image should clearly show the circle, its center, the 24 points, and the connecting segments.
The prompt above was compiled from the original drawing commands and is for reference only.