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Transform Maps into Graphs

Transform Maps into Graphs
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2013-07-01 08:14
FunctionTransformationGeometric ConstructionGraphing
In collections Graph theory
This example demonstrates how to transform a map into a graph. Key math concepts include function graphing and geometric construction. It uses Segment, Text, and other GeoGebra commands. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Segment(G_2, G_3) → a
  2. Segment(G_3, G_4) → b
  3. Segment(G_4, G_5) → c
  4. Segment(G_5, G_2) → d
  5. Segment(G_1, G_5) → e
  6. Segment(G_1, G_2) → f
  7. Segment(G_6, G_1) → g
  8. Segment(G_6, G_7) → h
  9. Segment(G_7, G_8) → i
  10. Segment(G_1, G_8) → j
  11. Segment(G_2, G_8) → k
  12. Segment(G_8, G_3) → l
  13. Segment(G_7, G_4) → m
  14. Segment(G_6, G_4) → n
  15. Segment(G_6, G_5) → p
  16. Segment(G_7, G_3) → q
  17. Segment(G_0, G_1) → r
  18. Segment(G_6, G_0) → s
  19. Segment(G_0, G_8) → t
  20. Segment(G_0, G_7) → a_1
  21. Segment(G_9, G_{10}) → a_2
  22. Segment(G_{10}, G_{11}) → b_1
  23. Segment(G_{11}, G_{12}) → c_1
  24. Segment(G_{12}, G_9) → d_1
  25. Segment(G_{13}, G_{12}) → e_1
  26. Segment(G_{13}, G_9) → f_1
  27. Segment(G_{14}, G_{13}) → g_1
  28. Segment(G_{14}, G_{15}) → h_1
  29. Segment(G_{15}, G_{16}) → i_1
  30. Segment(G_{13}, G_{16}) → j_1
  31. Segment(G_9, G_{16}) → k_1
  32. Segment(G_{16}, G_{10}) → l_1
  33. Segment(G_{15}, G_{11}) → m_1
  34. Segment(G_{14}, G_{11}) → n_1
  35. Segment(G_{14}, G_{12}) → p_1
  36. Segment(G_{15}, G_{10}) → q_1
  37. Segment(G_{17}, G_{13}) → r_1
  38. Segment(G_{14}, G_{17}) → s_1
  39. Segment(G_{17}, G_{16}) → t_1
  40. Segment(G_{17}, G_{15}) → a_3
  41. Segment(G_{18}, G_{19}) → a_4
  42. Segment(G_{19}, G_{20}) → b_2
  43. Segment(G_{20}, G_{21}) → c_2
  44. Segment(G_{21}, G_{18}) → d_2
  45. Segment(G_{22}, G_{21}) → e_2
  46. Segment(G_{22}, G_{18}) → f_2
  47. Segment(G_{23}, G_{22}) → g_2
  48. Segment(G_{23}, G_{24}) → h_2
  49. Segment(G_{24}, G_{25}) → i_2
  50. Segment(G_{22}, G_{25}) → j_2
  51. Segment(G_{18}, G_{25}) → k_2
  52. Segment(G_{25}, G_{19}) → l_2
  53. Segment(G_{24}, G_{20}) → m_2
  54. Segment(G_{23}, G_{20}) → n_2
  55. Segment(G_{23}, G_{21}) → p_2
  56. Segment(G_{24}, G_{19}) → q_2
  57. Segment(G_{26}, G_{22}) → r_2
  58. Segment(G_{23}, G_{26}) → s_2
  59. Segment(G_{26}, G_{25}) → t_2
  60. Segment(G_{26}, G_{24}) → a_5
  61. Text("Set colour for new Points") → text1

AI Drawing Prompt Reference

Draw a geometric figure composed of multiple line segments, including an inner and an outer polygon, and line segments connecting the inner and outer polygons. First, draw the outer polygon by connecting points 1 to 5 and then from 5 to 2 to form a closed shape. Next, draw the inner polygon by connecting points 9 to 12 and then from 12 to 9 to form a closed shape. Finally, connect the corresponding vertices of the inner and outer polygons, such as from point 1 to point 6 and from point 5 to point 6, to form the complete structure.
The prompt above was compiled from the original drawing commands and is for reference only.