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Parabola Art - Mihnea 9D

Parabola Art - Mihnea 9D
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2019-06-04 05:02
FunctionCoordinate GeometryTransformationGeometric Construction
This example demonstrates the process of constructing artistic patterns using parabolas. It involves core mathematical concepts such as parabolas, distributions, hypergeometric distribution, centroid, Pythagorean theorem, and quadrilaterals. The construction utilizes GeoGebra commands/objects like Vector, Translate, and Mirror. Suitable for high school students to explore the beauty of geometric transformations and function graphs.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Translate(f, u) → f_1
  3. Translate(f_1, u) → g
  4. Translate(g, u) → g_1
  5. Translate(g_1, u) → h
  6. Translate(h, u) → h_1
  7. Translate(h_1, u) → p
  8. Mirror(f, yAxis) → f_2
  9. Mirror(f_1, yAxis) → a
  10. Mirror(f_1, yAxis) → b
  11. Mirror(g, yAxis) → g_2
  12. Mirror(g_1, yAxis) → c
  13. Mirror(g_1, yAxis) → d
  14. Mirror(h, yAxis) → h_2
  15. Mirror(h_1, yAxis) → e
  16. Mirror(p, yAxis) → p_1
  17. Mirror(p_1, xAxis) → i
  18. Mirror(e, xAxis) → e'
  19. Mirror(h_2, xAxis) → j
  20. Mirror(d, xAxis) → d'
  21. Mirror(g_2, xAxis) → k
  22. Mirror(b, xAxis) → b'
  23. Mirror(f_2, xAxis) → l
  24. Mirror(f_1, xAxis) → m
  25. Mirror(g, xAxis) → g_3
  26. Mirror(g_1, xAxis) → n
  27. Mirror(h, xAxis) → h_3
  28. Mirror(h_1, xAxis) → o
  29. Mirror(p, xAxis) → p_2