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Mandelbrot Set Generator

Mandelbrot Set Generator
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2020-02-29 01:33
FunctionComplex NumberGeometric Construction
This is a Mandelbrot set generator. By iterating a complex function, a complex fractal pattern can be observed. This example involves the concept of complex numbers and demonstrates how to use GeoGebra commands such as Intersect, Circle, Point, and Segment for geometric construction. Suitable for high school students and math enthusiasts interested in fractal geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Center
  2. Circle(Center, S) → d_1
  3. Point(d_1) → C
  4. Circle(C, 0.05) → c_1
  5. Point(c_1) → z_1
  6. Segment(z_1, A2) → f
  7. Segment(A2, A3) → g
  8. Segment(A3, A4) → h
  9. Segment(A4, A5) → i
  10. Segment(A5, A6) → j
  11. Segment(A6, A7) → k
  12. Segment(A7, A8) → l
  13. Segment(A8, A9) → m
  14. Segment(A9, A10) → n
  15. Segment(A10, A11) → p
  16. Segment(A11, A12) → q
  17. Segment(A12, A13) → r
  18. Segment(A14, A15) → t
  19. Segment(A15, A16) → a
  20. Segment(A16, A17) → b
  21. Segment(A17, A18) → c
  22. Segment(A18, A19) → d
  23. Segment(A19, A20) → e
  24. Segment(A20, A21) → f_1
  25. Segment(A21, A22) → g_1
  26. Segment(A22, A23) → h_1
  27. Segment(A23, A24) → i_1
  28. Segment(A24, A25) → j_1
  29. Point(r) → A
  30. Point(t) → B
  31. Segment(A, B) → s