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Pythagoras Patchwork

Pythagoras Patchwork
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2020-11-27 05:48
TrianglePolygonTrigonometryGeometric Construction
This example demonstrates the Pythagorean Theorem through patchwork, visually illustrating the relationship between the sides of a right triangle. Core concepts include the Pythagorean Theorem, rhombus, similar triangles, arithmetic, and tree diagrams. It is constructed using GeoGebra commands for points (A2, B1, etc.), segments, and shapes, making it suitable for middle school and above to understand the theorem and geometric constructions.

GeoGebra Commands & Parameters

  1. 0
  2. 0
  3. ($A2, B$1)
  4. A2 + 1
  5. B1 + 1
  6. C1 + 1
  7. D1 + 1
  8. E1 + 1
  9. F1 + 1
  10. G1 + 1
  11. H1 + 1
  12. I1 + 1
  13. J1 + 1
  14. K1 + 1
  15. L1 + 1
  16. M1 + 1
  17. N1 + 1
  18. O1 + 1
  19. P1 + 1
  20. Q1 + 1
  21. R1 + 1
  22. S1 + 1
  23. T1 + 1
  24. U1 + 1
  25. V1 + 1
  26. W1 + 1
  27. X1 + 1
  28. Y1 + 1
  29. Z1 + 1
  30. AA1 + 1
  31. AB1 + 1
  32. AC1 + 1
  33. AD1 + 1
  34. AE1 + 1
  35. AF1 + 1
  36. AG1 + 1
  37. AH1 + 1
  38. AI1 + 1
  39. AJ1 + 1
  40. AK1 + 1
  41. AL1 + 1
  42. AM1 + 1
  43. AN1 + 1
  44. AO1 + 1
  45. A3 + 1
  46. A4 + 1
  47. A5 + 1
  48. A6 + 1
  49. A7 + 1
  50. A8 + 1
  51. A9 + 1
  52. A10 + 1
  53. A11 + 1
  54. A12 + 1
  55. A13 + 1
  56. A14 + 1
  57. A15 + 1
  58. A16 + 1
  59. A17 + 1
  60. A18 + 1

AI Drawing Prompt Reference

Create a patchwork-style geometric diagram illustrating the Pythagorean theorem. Draw a right triangle with squares constructed on each of its three sides. Inside or around these squares, add rhombuses and similar triangles to form a tessellated patchwork pattern. The overall layout should be symmetric, with nested triangles and quadrilaterals, using distinct colors to highlight area relationships and the theorem's visual proof.
The prompt above was compiled from the original drawing commands and is for reference only.