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Cuboid Net Demonstration by Isaac Goh

Cuboid Net Demonstration by Isaac Goh
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2016-11-02 10:04
PolygonVectorSolid GeometryTransformationGeometric Construction
This example demonstrates the net of a cuboid and its geometric properties. The core math concepts involved include solid geometry, polygons, vectors, rotation, and geometric construction. The construction utilizes GeoGebra commands/objects such as Intersect, Vector, CircumcircleArc, Point, Rotate, LineBisector, CircleArc, Circle, Segment, Translate, Polygon, OrthogonalLine, Dilate, and Angle. It is suitable for high school students studying solid geometry and geometric construction, as well as for demonstrations and explorations in related topics.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, H) → v
  3. CircumcircleArc(R, U, E) → f
  4. Point(f) → V
  5. Rotate(G1, 116.57°, V) → E1
  6. LineBisector(E1, G1) → m
  7. Point(m) → I1
  8. CircleArc(A, B, M) → d
  9. Point(d) → N
  10. Circle(V, N) → q
  11. Segment(V, C1) → i
  12. Intersect(q, i) → D1,
  13. Translate(N, v) → O
  14. Vector(A, C) → u
  15. Translate(V, u) → W
  16. Polygon(H, V, W, G) → poly5, h_2, v_1, w, g_2
  17. OrthogonalLine(V, h_2) → b
  18. Point(b) → Q
  19. Dilate(H, -0.8, A) → I
  20. CircumcircleArc(B, J, I) → c
  21. Point(c) → K
  22. Translate(K, u) → L
  23. Polygon(A, K, L, C) → poly1, a, k, l, c_1
  24. Polygon(N, O, H, A) → poly2, n, o, h, a_1
  25. Polygon(A, H, G, C) → poly3, a_2, h_1, g, c_2
  26. CircleArc(C, P, D) → e
  27. Translate(R, u) → T
  28. Translate(R, u) → R'
  29. Translate(E, u) → E'
  30. CircumcircleArc(E1, I1, G1) → p
  31. Point(p) → B1
  32. Translate(N, u) → N'
  33. Translate(Z, u) → Z'
  34. Angle(D1, V, N) → α
  35. Point(p) → F1
  36. Segment(E1, G1) → j
  37. Intersect(j, m) → H1
  38. Polygon(V, F1, A1, W) → poly4, v_2, f1, a1, w_1
  39. CircumcircleArc(J1, K1, P) → r
  40. Point(r) → L1
  41. Polygon(C, L1, M1, G) → poly6, c_3, l1, m1, g_1