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Master's Degree Student Designs

Master's Degree Student Designs
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2019-07-12 00:20
CirclePolygonFunctionTrigonometryGeometric Construction
In collections Calculating areas as an approach to the notions of limit and
This example demonstrates the process of constructing complex geometric figures using GeoGebra. It involves core mathematical concepts such as the unit circle, logical reasoning, exponential functions, histograms, etc. Key construction elements include commands and objects like Intersect (intersection), Segment (line segment), LineBisector (angle bisector), Polygon (polygon), and PointIn (point inside object). Suitable for university mathematics, geometric design education, and learning purposes.

GeoGebra Commands & Parameters

  1. Intersect(c, f, 1) → A
  2. Intersect(c, f, 2) → B
  3. Segment(A, B) → g
  4. LineBisector(g) → h
  5. Intersect(c, h, 2) → C
  6. Polygon(C, A, B) → polígono1, b, c_1, a
  7. LineBisector(a) → i
  8. Intersect(c, i, 1) → D
  9. Polygon(C, D, B) → polígono2, b_1, c_2, d
  10. LineBisector(b_1) → j
  11. Intersect(c, j, 2) → E
  12. Polygon(C, E, D) → polígono3, d_1, c_3, e
  13. LineBisector(d_1) → k
  14. LineBisector(c_3) → l
  15. Intersect(c, k, 2) → F
  16. Polygon(C, E, F) → polígono4, f_1, c_4, e_1
  17. Intersect(c, l, 2) → G
  18. Polygon(E, G, D) → polígono5, d_2, e_2, g_1
  19. LineBisector(b) → m
  20. LineBisector(c_4) → n
  21. LineBisector(d_2) → p
  22. Intersect(c, m, 1) → H
  23. Intersect(c, n, 1) → I
  24. Intersect(c, p, 2) → J
  25. Polygon(F, E, I) → polígono6, i_1, f_2, e_3
  26. Polygon(E, G, J) → polígono7, j_1, e_4, g_2
  27. Polygon(A, H, C) → polígono8, c_5, a_1, h_1
  28. LineBisector(c_2) → q
  29. Intersect(c, q, 2) → K
  30. Intersect(c, c_3, 1) → L
  31. Intersect(c, f, 2) → M
  32. Polygon(L, K, M) → polígono9, m_1, l_1, k_1
  33. PointIn(polígono1) → Puntopolígono1
  34. PointIn(polígono2) → Puntopolígono2
  35. PointIn(polígono3) → Puntopolígono3
  36. PointIn(polígono4) → Puntopolígono4
  37. PointIn(polígono5) → Puntopolígono5
  38. PointIn(polígono7) → Puntopolígono7
  39. PointIn(polígono6) → Puntopolígono6
  40. PointIn(polígono9) → Puntopolígono9
  41. PointIn(polígono8) → Puntopolígono8

AI Drawing Prompt Reference

Draw a unit circle and create two points on it. Connect these points to form a line segment. Draw the perpendicular bisector of this segment and find its other intersection with the circle. Use these three points to form a polygon. Repeat this process with the perpendicular bisector to create additional points and polygons on the circle, forming a nested structure of polygons, and mark a point inside each polygon.
The prompt above was compiled from the original drawing commands and is for reference only.