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Build the Net of a Cube by Ivan De Winne

Build the Net of a Cube by Ivan De Winne
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2017-02-20 01:51
PolygonSolid GeometryGeometric Construction
This example demonstrates how to construct the net of a cube by dragging square faces onto a grey net. It involves core math concepts like polygons, solid geometry, and geometric construction. Key GeoGebra commands used include Polygon, Intersect, Point, Cube, and Net. Suitable for high school students learning solid geometry or for educational demonstrations.

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

AI Drawing Prompt Reference

Draw a cube net with six square faces. Start by drawing the base, then add four side faces and one top face, ensuring each square face shares edges with adjacent faces.
The prompt above was compiled from the original drawing commands and is for reference only.