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Cuboid Net Demonstration by Arthur Lee

Cuboid Net Demonstration by Arthur Lee
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2013-12-26 12:25
PolygonSolid GeometryGeometric Construction
This example demonstrates the net of a cuboid, exploring its geometric properties and relationships. It involves core math concepts like solid geometry, polygons, geometric construction, and logic. The construction uses commands such as Point, OrthogonalLine, Intersect, Segment, and Distance. Suitable for high school students learning spatial geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(yAxis) → Q
  2. OrthogonalLine(Q, yAxis) → a
  3. OrthogonalLine(B, xAxis) → b
  4. Intersect(a, b) → D
  5. Segment(Q, A) → c
  6. Segment(Q, D) → d
  7. Segment(A, B) → e
  8. Segment(B, D) → f
  9. Point(xAxis) → R
  10. OrthogonalLine(R, xAxis) → g
  11. Intersect(a, g) → F
  12. Segment(D, F) → h
  13. Segment(R, F) → i
  14. OrthogonalLine(G, xAxis) → j
  15. Intersect(a, j) → H
  16. Segment(F, H) → k
  17. Segment(G, H) → l
  18. OrthogonalLine(I, yAxis) → m
  19. Intersect(b, m) → J
  20. Segment(I, J) → n
  21. Segment(D, J) → p
  22. Point(g) → S
  23. OrthogonalLine(S, g) → q
  24. Intersect(j, q) → L
  25. Segment(S, L) → r
  26. Segment(L, G) → s
  27. Segment(R, S) → t
  28. Point(a) → P
  29. OrthogonalLine(P, a) → a_1
  30. Intersect(m, a_1) → N
  31. Segment(I, N) → b_1
  32. Segment(N, P) → c_1
  33. Segment(P, Q) → d_1
  34. Segment(I, Q) → e_1
  35. Segment(B, R) → f_1
  36. Segment(R, G) → g_1
  37. Distance(A, B) → distanceAB
  38. Distance(B, R) → BR
  39. Distance(R, G) → distanceEG
  40. Distance(L, G) → LG
  41. Distance(N, P) → NP
  42. Distance(P, Q) → PQ
  43. Distance(H, G) → distanceHG

AI Drawing Prompt Reference

Draw the net of a cuboid, consisting of six connected rectangles, arranged in a continuous plane to show the geometric properties and relationships of the cuboid. Start by drawing two perpendicular lines and finding their intersection point. Based on this, construct four rectangles by connecting adjacent vertices, forming the unfolded shape. Label the lengths of the sides to illustrate the dimensions of the cuboid.
The prompt above was compiled from the original drawing commands and is for reference only.