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Parabolas Art Tudor V-9D

Parabolas Art Tudor V-9D
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2019-06-04 05:11
FunctionCoordinate GeometryTransformation
This example demonstrates Tudor V-9D style parabolas art. It involves the geometric construction and transformation of parabolas. Using commands like Vector, Translate, and Mirror in GeoGebra, complex parabola patterns can be created. Suitable for high school mathematics education and learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Translate(f, u) → f_1
  3. Translate(f_1, Vector[(0, 0)]) → g
  4. Translate(g, u) → g_1
  5. Translate(g_1, u) → h
  6. Translate(h, u) → h_1
  7. Mirror(f, yAxis) → f_2
  8. Mirror(f_2, yAxis) → a
  9. Mirror(a, yAxis) → a'
  10. Mirror(g, yAxis) → g_2
  11. Mirror(g_1, yAxis) → b
  12. Mirror(h, yAxis) → h_2
  13. Mirror(h_1, yAxis) → c
  14. Mirror(h_1, xAxis) → d
  15. Mirror(h, xAxis) → h_3
  16. Mirror(g_1, xAxis) → e
  17. Mirror(g, xAxis) → g_3
  18. Mirror(a', xAxis) → a''
  19. Mirror(g_2, xAxis) → i
  20. Mirror(b, xAxis) → b'
  21. Mirror(h_2, xAxis) → j
  22. Mirror(c, xAxis) → c'

AI Drawing Prompt Reference

Draw a complex pattern of parabolas by translating and reflecting a base parabola multiple times along its direction and axes, creating a symmetrical design that demonstrates geometric transformations and coordinate geometry concepts.
The prompt above was compiled from the original drawing commands and is for reference only.