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Cube Model for Marcela UFTM

Cube Model for Marcela UFTM
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2019-05-11 23:42
VectorCoordinate GeometrySolid GeometryGeometric Construction
In collections Developing games and puzzles with 3D printing for STEAM Developing fun games and puzzles with 3D printing for STEAM From POST-IT to 3D PRINTING: playing with squares and cubes
This example demonstrates the construction and visualization of a 3D cube, involving core mathematical concepts like straight lines, probability, centroid, rotation, and planes. It utilizes commands and objects such as Point, Polygon, Segment, Midpoint, Centroid, Circle, Intersect, Vector, Translate, and Prism in GeoGebra. Suitable for university-level foundational mathematics courses or solid geometry instruction.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Polygon(E, F, 4) → poly2, j, k, l, m, G, H
  5. Segment(H, F) → n
  6. Segment(E, G) → p
  7. Midpoint(i) → I
  8. Midpoint(m) → J
  9. Midpoint(l) → K
  10. Midpoint(k) → L
  11. Midpoint(j) → M
  12. Midpoint(n) → N
  13. Midpoint(h) → O
  14. Midpoint(g) → P
  15. Centroid(poly1) → Q
  16. Centroid(poly1) → R
  17. Midpoint(f) → S
  18. Polygon(D, I, J, E, N, H, K, O) → poly3, d, i_1, j_1, e, n_1, h_1, k_1, o
  19. Polygon(O, K, H, N, G, L, P, C) → poly4, o_1, k_2, h_2, n_2, g_1, l_1, p_1, c
  20. Polygon(L, G, N, F, M, S, B, P) → poly5, l_2, g_2, n_3, f_1, m_1, s, b, p_2
  21. Polygon(I, A, S, M, F, N, E, J) → poly6, i_2, a, s_1, m_2, f_2, n_4, e_1, j_2
  22. Circle(N, r) → q
  23. Intersect(q, h_2) → T,
  24. Intersect(q, g_2) → U,
  25. Vector(N, T) → u
  26. Vector(N, U) → v
  27. Translate(O, v) → O'
  28. Translate(K, v) → K'
  29. Translate(H, v) → H'
  30. Translate(N, v) → N'
  31. Translate(G, v) → G'
  32. Translate(L, v) → L'
  33. Translate(P, v) → P'
  34. Translate(C, v) → C'
  35. Polygon(O', K', H', N', G', L', P', C') → poly4', o', k', h', n', g', l', p', c'
  36. Translate(D, u) → D'
  37. Translate(I, u) → I'
  38. Translate(J, u) → J'
  39. Translate(E, u) → E'
  40. Translate(N, u) → N'_1
  41. Translate(H, u) → H'_1
  42. Translate(K, u) → K'_1
  43. Translate(O, u) → O'_1
  44. Polygon(D', I', J', E', N'_1, H'_1, K'_1, O'_1) → poly3', d', i', j', e', n'_1, h'_1, k'_1, o'_1
  45. Translate(I, Vector[(-v)]) → I'_1
  46. Translate(A, Vector[(-v)]) → A'
  47. Translate(S, Vector[(-v)]) → S'
  48. Translate(M, Vector[(-v)]) → M'
  49. Translate(F, Vector[(-v)]) → F'
  50. Translate(N, Vector[(-v)]) → N'_2
  51. Translate(E, Vector[(-v)]) → E'_1
  52. Translate(J, Vector[(-v)]) → J'_1
  53. Polygon(I'_1, A', S', M', F', N'_2, E'_1, J'_1) → poly6', i'_1, a', s', m', f', n'_2, e'_1, j'_1
  54. Translate(L, Vector[(-u)]) → L'_1
  55. Translate(G, Vector[(-u)]) → G'_1
  56. Translate(N, Vector[(-u)]) → N'_3
  57. Translate(F, Vector[(-u)]) → F'_1
  58. Translate(M, Vector[(-u)]) → M'_1
  59. Translate(S, Vector[(-u)]) → S'_1
  60. Translate(B, Vector[(-u)]) → B'
  61. Translate(P, Vector[(-u)]) → P'_1
  62. Polygon(L'_1, G'_1, N'_3, F'_1, M'_1, S'_1, B', P'_1) → poly5', l'_1, g'_1, n'_3, f'_1, m'_1, s'_1, b', p'_1
  63. Prism(poly3', a_1) → b_1, F_1, face10, face11, face12, face13, face14, face15, face9, face16, edge12, edge13, G_1, edge14, edge15, edge16, edge17, edge18, edge19, edge20, edge22, edge23, edge24, H_1, edge25, edge26, edge27, edge21, I_1, J_1, K_1, L_1, M_1, face8
  64. Prism(poly4', q_1) → r_1, V_1, face28, face29, face30, face31, face32, face33, face27, face34, edge28, edge45, W_1, edge46, edge47, edge48, edge49, edge50, edge51, edge52, edge54, edge55, edge56, Z_1, edge57, edge58, edge59, edge53, A_2, B_2, C_2, D_2, E_2, face17
  65. Prism(poly6', d_1) → t_1, N_1, face21, face22, face23, face24, face25, face26, face20, face35, edge30, edge31, O_1, edge32, edge33, edge34, edge35, edge36, edge37, edge38, edge40, edge41, edge42, P_1, edge43, edge44, edge60, edge39, Q_1, R_1, S_1, T_1, U_1, face19
  66. Prism(poly5', u_1) → v_1, F_2, face39, face40, face41, face42, face43, face44, face38, face45, edge63, edge64, G_2, edge65, edge66, edge67, edge68, edge69, edge70, edge71, edge73, edge74, edge75, H_2, edge76, edge77, edge78, edge72, I_2, J_2, K_2, L_2, M_2, face37

AI Drawing Prompt Reference

Draw a cube model with six faces, twelve edges, and eight vertices. Start by taking points on the x-axis and y-axis, then construct two squares using these points. Next, use midpoints and centroids to create the other faces. Finally, apply translation and rotation operations to generate the six faces of the cube.
The prompt above was compiled from the original drawing commands and is for reference only.