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Build net of a cube

Build net of a cube
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2016-09-22 15:53
PolygonVectorSolid GeometryGeometric Construction
In collections Exploring Nets of Geometric Solids Exploring Nets of Geometric Solids
This example demonstrates how to construct the net of a cube by dragging square faces onto a grey net. It involves core mathematical concepts like solid geometry, polygon construction, and spatial visualization. Key GeoGebra commands and objects used include Polygon, Intersect, Point, Cube, Net, and Vector. Suitable for middle school students and teachers learning about 3D geometry and net construction.

GeoGebra Commands & Parameters

  1. Polygon(M, N, C_1, N_2) → poly3, m_2, n, c_1, n_2
  2. Polygon(K_4, T_4, 4) → poly11, q, r, s, t, D_5, E_5
  3. Polygon(C_4, D_4, 4) → poly9, b, e, f_1, g_1, F_5, G_5
  4. Polygon(V_3, W_3, 4) → poly8, r_1, s_1, t_1, a_1, Z_3, A_4
  5. Polygon(Z_2, A_3, 4) → poly7, m_1, n_1, p_1, q_1, B_3, C_3
  6. Polygon(I_4, F_4, 4) → poly10, h_1, i_1, j_1, k_1, H_5, I_5
  7. Polygon(A_5, V_4, 4) → poly12, b_1, d_1, e_1, f_2, J_5, K_5
  8. Intersect(zAxis, xAxis) → A
  9. Point(xAxis) → B
  10. Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, D
  11. Cube(A, B, Point[Circle[B, Distance[A, B], Segment[A, B]]]) → a, E, face11, face12, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, F, edge28, edge29, edge30, edge31, G, H, B_4, face7, face8, face9, face10
  12. Point(Circle[B, Distance[A, B], Segment[A, B]]) → I
  13. Net(a, c) → d, V_1, G_2, H_2, I_2, J_2, K_2, face1, face2, face4, face5, face3, W_1, face6, edge1, edge5, edge8, edge2, edge3, edge13, edge6, edge7, edge16, Z_1, edge9, edge10, edge17, edge11, edge12, edge18, edge4, edge15, edge19, edge14, A_2, B_2, C_2, D_2, E_2, F_2
  14. Net(a, o) → p, H_3, Q_3, R_3, S_3, T_3, U_3, face13, face14, face16, face17, face15, I_3, face18, edge39, edge43, edge46, edge40, edge41, edge51, edge44, edge45, edge54, J_3, edge47, edge48, edge55, edge49, edge50, edge56, edge42, edge53, edge57, edge52, K_3, L_3, M_3, N_3, O_3, P_3
  15. Polygon(J, K, L, M) → poly2, j, k, l, m
  16. Polygon(L, O_2, P_2, Q_2) → poly4, l_1, o_2, p_2, q_2
  17. Polygon(N, O_2, R_2, S_2) → poly5, n_3, o_1, r_2, s_2
  18. Polygon(L, O_2, N, M) → poly6, l_2, o_3, n_4, m_3
  19. Polygon(T_2, U_2, P_2, Q_2) → poly13, t_2, u_2, p_3, q_3
  20. Vector(B_5, C_5) → u