MathPlotAI Logo MathPlotAI

Net of a Cube

Net of a Cube
Loading the math board and drawing, please wait…
2020-03-03 10:07
PolygonSolid GeometryGeometric Construction
This example demonstrates one of the nets of a cube, involving core mathematical concepts like solid geometry and polygon construction. It is constructed using GeoGebra commands such as Polygon, Line, Rotate, Point, Vector, and Translate, making it suitable for high school students learning about 3D shapes or for educational purposes.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, D
  2. Polygon(D, C, 4, xOyPlane) → poly2, j, k, l, m, E, F
  3. Polygon(F, E, 4, xOyPlane) → poly3, n, p_1, q, r, G, H
  4. Polygon(H, G, 4, xOyPlane) → poly4, s, t, a, b, I, J
  5. Polygon(D, F, 4, xOyPlane) → poly5, c, d, e, f_1, K, L
  6. Polygon(E, C, 4, xOyPlane) → poly6, g_1, h_1, i_1, j_1, M, N
  7. Line(D, F) → k_1
  8. Rotate(poly5, p, k_1) → poly5'
  9. Rotate(poly5, 90°, k_1) → poly5'_1
  10. Line(D, C) → l_1
  11. Rotate(poly1, (-(p - π / 2)), l_1) → poly1'
  12. Rotate(poly1, (-(90°)), l_1) → poly1'_1
  13. Line(C, E) → m_1
  14. Rotate(poly6, (-(p - π)), m_1) → poly6'
  15. Rotate(poly6, (-(90°)), m_1) → poly6'_1
  16. Line(F, E) → n_1
  17. Rotate(poly6'_1, (-(p - (3 * π / 2))), n_1) → q1
  18. Rotate(poly2, (-(p - (3 * π / 2))), n_1) → poly2'
  19. Rotate(poly1'_1, (-(p - (3 * π / 2))), n_1) → q2
  20. Rotate(poly5'_1, (-(p - (3 * π / 2))), n_1) → q3
  21. Polygon(G, E, 4, xOyPlane) → poly7, q_1, r_1, s_1, t_1, O, P
  22. Polygon(F, H, 4, xOyPlane) → poly8, a_1, b_1, c_1, d_1, Q, R
  23. Rotate(poly8, 90°, k_1) → poly8'
  24. Rotate(poly7, (-(90°)), m_1) → poly7'
  25. Rotate(poly2, (-(90°)), n_1) → poly2'_1
  26. Point(zAxis) → S
  27. Point(zAxis) → T
  28. Vector(S, T) → u
  29. Translate(poly3, u) → poly3'
  30. Line(Q, P) → e_1
  31. Rotate(poly7, (-(90°)), m_1) → poly7'_1
  32. Rotate(poly7'_1, (-(p - (2 * π))), e_1) → q4
  33. Rotate(poly8, 90°, k_1) → poly8'_1
  34. Rotate(poly8'_1, (-(p - (2 * π))), e_1) → q5
  35. Rotate(poly2, (-(90°)), n_1) → poly2'_2
  36. Rotate(poly2'_2, (-(p - (2 * π))), e_1) → q6
  37. Polygon(U, V, W, Z) → q7, u_1, v, w, z_1
  38. Rotate(q7, (-(p - (2 * π))), e_1) → q7'
  39. Rotate(poly3, (-(p - (2 * π))), e_1) → poly3'_1