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Dijkstra Algorithm Visualization

Dijkstra Algorithm Visualization
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2017-12-02 17:47
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, greedy algorithm. Construction highlights involve GeoGebra commands/objects like ConstructionStep, Circle, Point, Segment. Suitable for high school students and learners interested in graph theory algorithms.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Circle(A, 0.5) → c
  3. Circle(B, 0.5) → d
  4. Circle(C, 0.5) → e
  5. Circle(D, 0.5) → f
  6. Circle(E, 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(e) → J
  13. Point(d) → K
  14. Segment(J, K) → j
  15. Point(e) → L
  16. Point(f) → M
  17. Segment(L, M) → l
  18. Point(f) → N
  19. Point(g) → O
  20. Segment(N, O) → m
  21. Point(e) → P
  22. Point(g) → Q
  23. Segment(P, Q) → n
  24. Point(g) → R
  25. Point(h) → S
  26. Segment(R, S) → p
  27. Point(d) → T
  28. Point(g) → U
  29. Segment(T, U) → q
  30. Point(d) → V
  31. Point(h) → W
  32. Segment(V, W) → r
  33. Point(h) → Z
  34. Point(k) → A_1
  35. Segment(Z, A_1) → s
  36. Point(k) → B_1
  37. Point(d) → C_1
  38. Segment(B_1, C_1) → t
  39. Point(k) → D_1
  40. Point(c) → E_1
  41. Segment(D_1, E_1) → a
  42. Circle(A, 0.5) → c_1
  43. Circle(G, 0.5) → d_1
  44. Segment(D_1, E_1) → b
  45. Circle(F, 0.5) → e_1
  46. Segment(Z, A_1) → f_1
  47. Circle(E, 0.5) → g_1
  48. Circle(B, 0.5) → h_1
  49. Segment(R, S) → i_1
  50. Circle(C, 0.5) → k_1
  51. Segment(P, Q) → j_1
  52. Circle(D, 0.5) → p_1
  53. Segment(N, O) → l_1

AI Drawing Prompt Reference

Visualize Dijkstra's algorithm for finding the shortest path in graph theory. Include multiple circles, points, and segments: first draw six circles with labeled centers, then connect the centers with segments, and further connect points on the circle peripheries to form a complex network, highlighting the path search process.
The prompt above was compiled from the original drawing commands and is for reference only.