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Cube Net by Bertram Bromfield

Cube Net by Bertram Bromfield
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2013-12-24 08:55
PolygonSolid GeometryGeometric Construction
This example demonstrates the net of a cube and its folding process. Core mathematical concepts include polygons, solid geometry, and geometric transformations. Construction highlights involve commands like Vector, OrthogonalLine, Polygon, Midpoint, Translate, Segment, and Mirror in GeoGebra. Suitable for high school students learning solid geometry and spatial visualization skills.

GeoGebra Commands & Parameters

  1. Vector(B_1, X) → u
  2. Vector(B_1, Z) → w
  3. OrthogonalLine(Views, yAxis) → a_1
  4. OrthogonalLine(Views, xAxis) → b_1
  5. Vector(B_1, Y) → v
  6. Polygon(L, K, N, M) → poly1, l, k_1, n, m
  7. Polygon(K, P, Q, N) → poly2, k_2, p, q, n_1
  8. Polygon(L, M, S, R) → poly3, l_1, m_1, s, r
  9. Polygon(N, V, W, M) → poly4, n_2, v_1, w_1, m_2
  10. Polygon(K, T, U, L) → poly5, k_3, t, u_1, l_2
  11. Polygon(B, Q, P, A) → poly6, b_2, q_1, p_1, a_2
  12. Midpoint(R, M) → D
  13. Translate(S, Vector[(-((2 * v)))]) → S'
  14. Segment(S, C) → e
  15. Translate(M, Vector[(-2 * v)]) → M'
  16. Segment(M, E) → f
  17. Segment(E, C) → h
  18. Translate(N, Vector[(-2 * v)]) → N'
  19. Translate(Q, Vector[(-2 * v)]) → Q'_1
  20. Segment(Q, F) → i
  21. Segment(N, G) → j
  22. Segment(G, F) → d_1
  23. Translate(Q, Vector[(-2 * v)]) → Q'_2
  24. Translate(B, Vector[(-2 * v)]) → B'_1
  25. Segment(B, I) → e_1
  26. Segment(I, H) → f_1
  27. Segment(H, Q) → g_1
  28. Translate(K, Vector[(2 * v)]) → K'
  29. Translate(P, Vector[(2 * v)]) → P'_1
  30. Segment(P, J) → h_1
  31. Segment(J, A_1) → i_1
  32. Segment(A_1, K) → j_1
  33. Segment(B, H_1) → s_1
  34. Segment(H_1, C_1) → c
  35. Segment(C_1, A) → r_1
  36. Midpoint(N, P) → D_1
  37. Midpoint(k_1) → F_1
  38. Translate(A, Vector[(2 * v)]) → A'
  39. Translate(P, Vector[(2 * v)]) → P'
  40. Segment(A, G_1) → t_1
  41. Segment(G_1, I_1) → c_2
  42. Segment(I_1, P) → d_2
  43. Segment(J, K_1) → f_2
  44. Segment(P, L_1) → e_2
  45. Segment(L_1, K_1) → g_2
  46. Segment(M, W) → h_2
  47. Mirror(L_1, F_1) → O_1
  48. Mirror(K_1, F_1) → P_1
  49. Segment(M, M_1) → i_2
  50. Segment(N_1, J_1) → j_2
  51. Segment(J_1, M_1) → p_2

AI Drawing Prompt Reference

Draw a cube net consisting of six squares that can be folded into a cube. Start by drawing six squares, then connect them using translation and mirroring operations to form the net structure. Pay attention to the connections and symmetry between each square.
The prompt above was compiled from the original drawing commands and is for reference only.