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Nolan Pyramid

Nolan Pyramid
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2019-11-27 00:56
Coordinate GeometrySolid GeometryGeometric Construction
In collections Pyramid Puzzles
This example demonstrates the construction of a pyramid in solid geometry. Key mathematical concepts include the definition and properties of a pyramid. The construction involves using GeoGebra commands such as points, polygons, and midpoints. Suitable for high school students studying solid geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, f_5, g, h, i, C, D
  4. Polygon(C, B, 4) → poly2, j, k, l, m, E, F
  5. Polygon(F, E, 4) → poly3, n, p, q, r, G, H
  6. Polygon(H, G, 4) → poly4, s, t, a_4, b_4, I, J
  7. Polygon(A, D, 4) → poly5, c_4, d_4, e_4, f_1, K, L
  8. Polygon(L, K, 4) → poly6, g_1, h_1, i_1, j_1, M, N
  9. Midpoint(M, K) → O
  10. Midpoint(K, D) → P
  11. Midpoint(D, C) → Q
  12. Midpoint(C, F) → R
  13. Midpoint(F, H) → S
  14. Midpoint(H, J) → T
  15. Polygon(O, P, 4) → poly7, k_1, l_1, m_1, n_1, U, V
  16. Polygon(P, Q, 4) → poly8, p_1, q_1, r_1, s_1, W, Z
  17. Polygon(Q, R, 4) → poly9, t_1, a_1, b_1, c_1, A_1, B_1
  18. Polygon(R, S, 4) → poly10, d_1, e_1, f_2, g_2, C_1, D_1
  19. Polygon(S, T, 4) → poly11, h_2, i_2, j_2, k_2, E_1, F_1
  20. Midpoint(V, U) → G_1
  21. Midpoint(U, W) → H_1
  22. Midpoint(W, A_1) → I_1
  23. Midpoint(A_1, C_1) → J_1
  24. Midpoint(C_1, E_1) → K_1
  25. Polygon(G_1, H_1, 4) → poly12, l_2, m_2, n_2, p_2, L_1, M_1
  26. Polygon(H_1, I_1, 4) → poly13, q_2, r_2, s_2, t_2, N_1, O_1
  27. Polygon(I_1, J_1, 4) → poly14, a_2, b_2, c_2, d_2, P_1, Q_1
  28. Polygon(J_1, K_1, 4) → poly15, e_2, f_3, g_3, h_3, R_1, S_1
  29. Midpoint(M_1, L_1) → T_1
  30. Midpoint(L_1, N_1) → U_1
  31. Midpoint(N_1, P_1) → V_1
  32. Midpoint(P_1, R_1) → W_1
  33. Polygon(T_1, U_1, 4) → poly16, i_3, j_3, k_3, l_3, Z_1, A_2
  34. Polygon(U_1, V_1, 4) → poly17, m_3, n_3, p_3, q_3, B_2, C_2
  35. Polygon(V_1, W_1, 4) → poly18, r_3, s_3, t_3, a_3, D_2, E_2
  36. Midpoint(A_2, Z_1) → F_2
  37. Midpoint(Z_1, B_2) → G_2
  38. Midpoint(B_2, D_2) → H_2
  39. Polygon(F_2, G_2, 4) → poly19, b_3, c_3, d_3, e_3, I_2, J_2
  40. Polygon(G_2, H_2, 4) → poly20, f_4, g_4, h_4, i_4, K_2, L_2
  41. Midpoint(J_2, I_2) → M_2
  42. Midpoint(I_2, K_2) → N_2
  43. Polygon(M_2, N_2, 4) → poly21, j_4, k_4, l_4, m_4, O_2, P_2