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Dijkstra Algorithm Visualization by chris cambré

Dijkstra Algorithm Visualization by chris cambré
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2017-12-02 17:45
FunctionGeometric ConstructionGraphing
In collections Shortest path
This example demonstrates the application of Dijkstra's algorithm in graph theory, visually showing the process of finding the shortest path. Core math concepts include graph theory, shortest path, and greedy strategy. Construction highlights involve commands like Circle, Point, and Segment from GeoGebra for path building and dynamic demonstration. Suitable for high school students and learners interested in graph theory algorithms, ideal for teaching and comprehension.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Circle(A, 0.5) → c
  3. Circle(B, 0.5) → d
  4. Circle(E, 0.5) → e
  5. Circle(C, 0.5) → f
  6. Circle(D, 0.5) → g
  7. Circle(F, 0.5) → h
  8. Circle(G, 0.5) → k
  9. Point(c) → H
  10. Point(d) → I
  11. Segment(H, I) → i
  12. Point(c) → J
  13. Point(f) → K
  14. Segment(J, K) → j
  15. Point(e) → L
  16. Point(d) → M
  17. Point(f) → N
  18. Segment(M, N) → m
  19. Point(d) → O
  20. Point(e) → P
  21. Segment(O, P) → n
  22. Point(e) → S
  23. Point(g) → T
  24. Segment(S, T) → q
  25. Point(e) → U
  26. Point(h) → V
  27. Segment(U, V) → r
  28. Point(f) → W
  29. Point(h) → Z
  30. Segment(W, Z) → s
  31. Point(g) → A_1
  32. Point(g) → C_1
  33. Point(k) → D_1
  34. Segment(C_1, D_1) → a
  35. Point(h) → E_1
  36. Point(k) → F_1
  37. Segment(E_1, F_1) → b
  38. Point(e) → G_1
  39. Point(f) → H_1
  40. Segment(G_1, H_1) → l
  41. Point(d) → I_1
  42. Point(g) → J_1
  43. Segment(I_1, J_1) → p
  44. Point(g) → K_1
  45. Point(h) → L_1
  46. Segment(K_1, L_1) → t
  47. Circle(A, 0.5) → c_1
  48. Circle(B, 0.5) → d_1
  49. Segment(H, I) → f_1
  50. Circle(C, 0.5) → e_1
  51. Segment(M, N) → g_1
  52. Segment(G_1, H_1) → i_1
  53. Circle(E, 0.5) → h_1
  54. Circle(D, 0.5) → k_1
  55. Segment(S, T) → j_1
  56. Circle(F, 0.5) → p_1
  57. Segment(U, V) → l_1
  58. Circle(G, 0.5) → q_1
  59. Segment(E_1, F_1) → m_1

AI Drawing Prompt Reference

Create a graph theory visualization to demonstrate Dijkstra's algorithm for finding the shortest path. Include multiple circles, points, and segments, dynamically constructing paths to highlight the greedy strategy. Start by drawing several circles, then take points on the circles, connect the points with segments to form a complex network structure, clearly showing the search process for the shortest path.
The prompt above was compiled from the original drawing commands and is for reference only.