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Make the Net of a Prism

Make the Net of a Prism
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2017-02-20 01:57
PolygonSolid Geometry
This example demonstrates how to build the net of a prism by dragging blue and green faces onto the grey net. Use the green points to rotate rectangles and understand the geometric structure of the prism. Key mathematical concepts include polygons and solid geometry. GeoGebra commands used include Polygon, Prism, and Net. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4, xOyPlane) → poly1, f, g, h, i, C, D
  4. Prism(poly1, 2) → a, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  5. Point(Circle[B, Distance[A, B], Segment[A, B]]) → I
  6. 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
  7. 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
  8. Polygon(Z_2, A_3, 4) → poly7, m_1, n_1, p_1, q_1, B_3, C_3
  9. Polygon(V_3, W_3, 4) → poly8, r_1, s_1, t_1, a_1, Z_3, A_4
  10. Point(Circle[B_4, 2]) → C_4
  11. Polygon(B_4, C_4, D_4, E_4) → poly9, b_4, c_4, d_4, e_4
  12. Point(Circle[F_4, 2]) → G_4
  13. Polygon(F_4, G_4, H_4, I_4) → poly10, f_4, g_4, h_4, i_4
  14. Point(Circle[J_4, 2]) → K_4
  15. Polygon(J_4, K_4, T_4, U_4) → poly11, j_4, k_4, t_4, u_4
  16. Point(Circle[V_4, 2]) → W_4
  17. Polygon(V_4, W_4, Z_4, A_5) → poly12, v_4, w_4, z_4, a_5
  18. Polygon(J, K, L, M) → poly2, j, k, l, m
  19. Polygon(M, N, C_1, N_2) → poly3, m_2, n, c_1, n_2
  20. Polygon(L, O_2, P_2, Q_2) → poly4, l_1, o_2, p_2, q_2
  21. Polygon(N, O_2, R_2, S_2) → poly5, n_3, o_1, r_2, s_2
  22. Polygon(L, O_2, N, M) → poly6, l_2, o_3, n_4, m_3
  23. Polygon(T_2, U_2, P_2, Q_2) → poly13, t_2, u_2, p_3, q_3
  24. AreEqual(poly7, poly8) → CheckSquares
  25. Vector(B_5, C_5) → u

AI Drawing Prompt Reference

Draw a net of a prism. Start with a square base on a horizontal plane, then extrude it upward to form a prism. Unfold the lateral faces and the top face onto the plane around the base, resulting in a flat pattern of six quadrilateral faces: two squares and four rectangles, connected along shared edges in a cross-like arrangement. Additionally, place a separate quadrilateral nearby and add a vector arrow to indicate a direction of movement. The overall figure illustrates the relationship between the 3D prism and its 2D net.
The prompt above was compiled from the original drawing commands and is for reference only.