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Edirne Üç Şerefeli Mosque Geometric Construction Demo

Edirne Üç Şerefeli Mosque Geometric Construction Demo
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2020-08-18 14:24
CirclePolygonSequenceTransformationGeometric Construction
In collections Fatin Uluengin - muqarnas
This example demonstrates the step‑by‑step planar geometric construction of the historic Üç Şerefeli Mosque in Edirne. It covers core concepts such as polygons, circles, angles, rotations, reflections, and sequences. The construction uses GeoGebra commands including ConstructionStep, Polygon, Midpoint, Rotate, Ray, Intersect, Segment, Angle, OrthogonalLine, Circle, Sequence, and Mirror, together with a rich set of points, lines, and circles. It is suitable for high‑school geometry instruction, geometric construction practice, and digital heritage visualization.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Polygon(I, J, K, L) → vierhoek1, i, j, k, l
  3. Midpoint(k) → M
  4. Midpoint(i) → N
  5. Rotate(N, 30°, M) → N'
  6. Ray(M, N') → f
  7. Intersect(f, i) → O_1
  8. Rotate(N, (-(30°)), M) → N'_1
  9. Ray(M, N'_1) → g
  10. Intersect(i, g) → P
  11. Segment(M, P) → h
  12. Segment(M, O_1) → m
  13. Segment(M, N) → p_1
  14. Angle(N, M, O_1) → α
  15. Angle(P, M, N) → β
  16. Segment(L, N) → n
  17. Segment(M, N) → b
  18. Ray(N, Rotate[J, 15°, N]) → d
  19. Ray(N, Rotate[J, 30°, N]) → e
  20. Ray(N, Rotate[J, 45°, N]) → f_1
  21. Ray(N, Rotate[J, 60°, N]) → g_1
  22. Ray(N, Rotate[J, 75°, N]) → h_1
  23. Intersect(k, h_1) → S
  24. Intersect(g_1, k) → T
  25. Intersect(j, e) → U
  26. Intersect(j, d) → V
  27. Segment(N, S) → i_1
  28. Segment(N, T) → j_1
  29. Segment(N, K) → k_1
  30. Segment(N, U) → l_1
  31. Segment(N, V) → m_1
  32. Angle(J, N, V) → γ
  33. Segment(K, N) → p
  34. OrthogonalLine(P, i) → q
  35. Intersect(q, n) → O
  36. Segment(P, O) → n_1
  37. Rotate(P, (-(30°)), N) → P'
  38. Ray(N, P') → r
  39. Intersect(h, r) → R
  40. Segment(N, P') → s
  41. Angle(R, N, P) → δ
  42. Circle(O, R) → c
  43. Segment(O, R) → t
  44. Sequence(Segment[Rotate[O, (nn * 40°), O], Rotate[R, (nn * 40°), O]], nn, 1, 8) → l1
  45. Rotate(R, 40°, O) → R'
  46. Rotate(R, (-(80°)), O) → R'_1
  47. Rotate(R, (-(40°)), O) → R'_2
  48. Angle(R'_1, O, R'_2) → ε
  49. Segment(R, R') → a
  50. Mirror(c, p_1) → c'
  51. Mirror(l1, p_1) → l1'
  52. Mirror(O, p_1) → O'
  53. Mirror(R, p_1) → R'_3
  54. Segment(O', R'_3) → t'
  55. Mirror(R, p_1) → R'_4
  56. Mirror(R', p_1) → R''
  57. Segment(R'_4, R'') → a'
  58. Mirror(afbeelding3, yAxis) → afbeelding3'
  59. Mirror(afbeelding5, yAxis) → afbeelding5'

AI Drawing Prompt Reference

Draw a geometric construction representing the historic Edirne Üç Şerefeli Mosque. Start by creating a quadrilateral and find its midpoints. Rotate and reflect points to form rays and angles. Draw circles centered at specific points and use rotations and reflections to generate a sequence of line segments. Connect these segments and add arcs to create a complex, symmetric pattern that showcases geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.