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MATTHEW Number Pyramid 2

MATTHEW Number Pyramid 2
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2019-11-27 01:09
FunctionSolid GeometryGeometric Construction
In collections Pyramid Puzzles
This example demonstrates a complex geometric pyramid structure, showcasing its form through polygon and point constructions. It involves core mathematical concepts like rational numbers, unit circle, polynomial functions, prism, and arithmetic. The construction uses commands such as Polygon, Midpoint, Intersect, and Point in GeoGebra. Suitable for high school and above, it helps learners understand the connection between geometric constructions and function graphs.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Polygon(C, B, 4) → poly2, j, k, l, m, E, F
  3. Polygon(F, E, 4) → poly3, n, p, q, r, G, H
  4. Polygon(H, G, 4) → poly4, s, t, a, b, I, J
  5. Midpoint(D, C) → K
  6. Midpoint(C, F) → L
  7. Polygon(K, L, 4) → poly5, c, d, e, f_1, O, P
  8. Polygon(O, L, 4) → poly6, g_1, h_1, i_1, j_1, M, Q
  9. Polygon(Q, M, 4) → poly7, k_1, l_1, m_1, n_1, N, R
  10. Midpoint(P, O) → S
  11. Midpoint(Q, R) → T
  12. Midpoint(O, Q) → U
  13. Polygon(S, U, 4) → poly8, p_1, q_1, r_1, s_1, V, W
  14. Polygon(U, T, 4) → poly9, t_1, a_1, b_1, c_1, Z, A_1
  15. Midpoint(W, V) → B_1
  16. Midpoint(V, Z) → C_1
  17. Polygon(B_1, C_1, 4) → poly10, d_1, e_1, f_2, g_2, D_1, E_1
  18. Polygon(F_1, G_1, H_1, I_1) → q1, h_2, i_2, j_2, k_2
  19. Intersect(h_2, i_2) → J_1
  20. Polygon(J_1, K_1, L_1, M_1) → q2, l_2, m_2, n_2, p_2
  21. Point(l_2) → N_1
  22. Polygon(N_1, O_1, P_1) → t1, q_2, r_2, s_2
  23. Point(n_2) → Q_1
  24. Polygon(Q_1, R_1, S_1) → t2, t_2, c_2, d_2
  25. Point(k_2) → T_1
  26. Polygon(T_1, U_1, V_1) → t3, e_2, f_3, g_3
  27. Point(k_2) → W_1
  28. Polygon(W_1, Z_1, A_2) → t4, h_3, i_3, z_1
  29. Point(m_2) → B_2
  30. Polygon(B_2, C_2, D_2) → t5, j_3, k_3, l_3
  31. Point(m_2) → E_2
  32. Polygon(E_2, F_2, G_2) → t6, m_3, n_3, p_3

AI Drawing Prompt Reference

Draw a complex geometric pyramid structure with multiple quadrilaterals and midpoints. Start by drawing the base polygon, then build each pyramid layer upwards, with each layer consisting of four midpoints and a quadrilateral. Finally, connect the layers through intersection points to form the pyramid's 3D structure.
The prompt above was compiled from the original drawing commands and is for reference only.