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Variable Cube 2

Variable Cube 2
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2018-04-27 03:57
Solid GeometryGeometric Construction
This example demonstrates the geometric construction of a variable cube. Key mathematical concepts include solid geometry, prisms, and pyramids. Using GeoGebra commands such as Polygon, Prism, and Angle, the size of the cube can be dynamically adjusted. Suitable for high school students and teachers for teaching geometric construction and solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Prism(q1, n) → f, I, edgeAI, edgeBJ, edgeCK, edgeDL, edgeIJ, edgeJK, edgeKL, edgeIL, J, K, L, faceABJI, faceBCKJ, faceCDLK, faceADLI, faceIJKL
  3. Polygon(E, F, G, H, M, N, O, P) → poly1, e_1, f_1, g, h, m, n_1, o, p
  4. Prism(poly1, 0) → i, Q, faceFGSR, faceGHTS, faceHMUT, faceMNVU, faceNOWV, faceOPZW, faceEPZQ, faceQRSTUVWZ, edgeEQ, edgeFR, R, edgeGS, edgeHT, edgeMU, edgeNV, edgeOW, edgePZ, edgeQR, edgeRS, edgeST, edgeTU, S_2, edgeUV, edgeVW, edgeWZ, edgeQZ, T, U, V, W, Z, faceEFRQ
  5. Prism(faceQRSTUVWZ, k) → l, I_1, face12, face13, face14, face15, face16, face17, face11, face18, edge17, edge18, J_1, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge27, edge28, edge29, K_1, edge30, edge31, edge32, edge26, L_1, M_1, N_1, O_1, P_1, face10
  6. Polygon(A_1, B_1, 4) → poly2, q, r, s, t, C_1, D_1
  7. Polygon(E_1, F_1, 8) → poly3, g_1, H_1, Q_1, R_1, S_1, T_1, h_1, i_1, j_1, k_1, l_1, m_1, p_1, G_1
  8. Polygon(U_1, V_1, W_1, Z_1, A_2) → poly4, u_1, v_1, w_1, z_1, a_2
  9. Polygon(S, B_2, C_2, D_2, E_2) → poly5, s_1, b_2, c_2, d_2, e_2
  10. Angle(E_2, D_2, C_2) → α
  11. Angle(C_2, B_2, S) → β
  12. Angle(D_2, C_2, B_2) → γ
  13. Angle(A_2, Z_1, W_1) → δ
  14. Angle(W_1, V_1, U_1) → ε
  15. Angle(Z_1, W_1, V_1) → ζ
  16. Polygon(F_2, G_2, H_2) → t1, h_2, f_2, g_2
  17. Polygon(I_2, J_2, K_2) → t2, k_2, i_2, j_2
  18. Polygon(L_2, M_2, 6) → poly6, q_1, Q_2, r_1, t_1, b_1, c_1, d_1, N_2, O_2, P_2
  19. Polygon(L_3, M_3, 6) → poly6_1, q_2, Q_3, r_2, t_2, b_3, c_3, d_3, N_3, O_3, P_3
  20. Polygon(R_2, T_2, 3) → poly7, l_2, m_2, n_2, U_2
  21. Polygon(V_2, W_2, 3) → poly8, p_2, s_2, f_3, Z_2
  22. Polygon(A_3, B_3, 5) → poly9, g_3, h_3, i_3, j_3, k_3, C_3, D_3, E_3
  23. Polygon(F_3, G_3, 5) → poly10, l_3, m_3, n_3, p_3, q_3, H_3, I_3, J_3
  24. Polygon(K_3, R_3, 4) → poly11, r_3, s_3, t_3, a_3, S_3, T_3
  25. Polygon(U_3, V_3, 4) → poly12, e_3, f_4, g_4, h_4, W_3, Z_3
  26. Polygon(A_4, B_4, C_4, D_4) → q2, a_4, b_4, c_4, d_4
  27. Polygon(E_4, F_4, G_4, H_4) → q3, e_4, f_5, g_5, h_5
  28. Polygon(I_4, J_4, K_4) → t3, k_4, i_4, j_4
  29. Polygon(L_4, M_4, N_4) → t4, n_4, l_4, m_4
  30. Polygon(O_4, P_4, Q_4, R_4) → q4, o_4, p_4, q_4, r_4
  31. Polygon(S_4, T_4, U_4, V_4) → q5, s_4, t_4, u_4, v_4
  32. Polygon(W_4, Z_4, A_5, B_5, C_5, D_5) → poly13, w_4, z_4, a_5, b_5, c_5, d_5
  33. Polygon(E_5, F_5, G_5, H_5, I_5, J_5) → poly14, e_5, f_6, g_6, h_6, i_5, j_5