Cover 100

Cover 100
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2020-10-29 04:11
This is a number puzzle about squares by Patrick Vennebush. It involves core math concepts such as area, linear equations, and matrices. Using GeoGebra commands like Polygon, Line, and Function, users can construct geometric figures. Suitable for middle school and above students or teachers for teaching or self-study.

GeoGebra Commands & Parameters

  1. Polygon((0, 0), (10, 0), 4) → poly1
  2. Polygon(A, A + (9, 0), 4) → poly2, f, g, h, i, B, C
  3. Polygon(D, D + (8, 0), 4) → poly3, j, k, l, m, E, F
  4. Polygon(G, G + (7, 0), 4) → poly4, n, p, q, r, H, I
  5. Polygon(J, J + (6, 0), 4) → poly5, s, t, a, b, K, L
  6. Polygon(M, M + (5, 0), 4) → poly6, c, d, e, f_1, N, O
  7. Polygon(M_1, M_1 + (5, 0), 4) → poly6_1, c_1, d_1, e_1, f_2, N_1, O_1
  8. Polygon(M_2, M_2 + (5, 0), 4) → poly6_2, c_2, d_2, e_2, f_3, N_2, O_2
  9. Polygon(M_3, M_3 + (5, 0), 4) → poly6_3, c_3, d_3, e_3, f_4, N_3, O_3
  10. Polygon(P, P + (4, 0), 4) → poly7, g_1, h_1, i_1, j_1, Q, R
  11. Polygon(P_1, P_1 + (4, 0), 4) → poly7_1, g_2, h_2, i_2, j_2, Q_1, R_1
  12. Polygon(P_2, P_2 + (4, 0), 4) → poly7_2, g_3, h_3, i_3, j_3, Q_2, R_2
  13. Polygon(P_3, P_3 + (4, 0), 4) → poly7_3, g_4, h_4, i_4, j_4, Q_3, R_3
  14. Polygon(S, S + (3, 0), 4) → poly8, k_1, l_1, m_1, n_1, T, U
  15. Polygon(S_1, S_1 + (3, 0), 4) → poly8_1, k_2, l_2, m_2, n_2, T_1, U_1
  16. Polygon(S_2, S_2 + (3, 0), 4) → poly8_2, k_3, l_3, m_3, n_3, T_2, U_2
  17. Polygon(S_3, S_3 + (3, 0), 4) → poly8_3, k_4, l_4, m_4, n_4, T_3, U_3
  18. Polygon(S_4, S_4 + (3, 0), 4) → poly8_4, k_5, l_5, m_5, n_5, T_4, U_4
  19. Polygon(S_5, S_5 + (3, 0), 4) → poly8_5, k_6, l_6, m_6, n_6, T_5, U_5
  20. Polygon(S_6, S_6 + (3, 0), 4) → poly8_6, k_7, l_7, m_7, n_7, T_6, U_6
  21. Polygon(S_7, S_7 + (3, 0), 4) → poly8_7, k_8, l_8, m_8, n_8, T_7, U_7
  22. Polygon(S_8, S_8 + (3, 0), 4) → poly8_8, k_9, l_9, m_9, n_9, T_8, U_8
  23. Polygon(V, V + (2, 0), 4) → poly9, p_1, q_1, r_1, s_1, W, Z
  24. Polygon(V_1, V_1 + (2, 0), 4) → poly9_1, p_2, q_2, r_2, s_2, W_1, Z_1
  25. Polygon(V_2, V_2 + (2, 0), 4) → poly9_2, p_3, q_3, r_3, s_3, W_2, Z_2
  26. Polygon(V_3, V_3 + (2, 0), 4) → poly9_3, p_4, q_4, r_4, s_4, W_3, Z_3
  27. Polygon(V_4, V_4 + (2, 0), 4) → poly9_4, p_5, q_5, r_5, s_5, W_4, Z_4
  28. Polygon(V_5, V_5 + (2, 0), 4) → poly9_5, p_6, q_6, r_6, s_6, W_5, Z_5
  29. Polygon(V_6, V_6 + (2, 0), 4) → poly9_6, p_7, q_7, r_7, s_7, W_6, Z_6
  30. Polygon(V_7, V_7 + (2, 0), 4) → poly9_7, p_8, q_8, r_8, s_8, W_7, Z_7
  31. Polygon(V_8, V_8 + (2, 0), 4) → poly9_8, p_9, q_9, r_9, s_9, W_8, Z_8
  32. Polygon(V_9, V_9 + (2, 0), 4) → poly9_9, p_{10}, q_{10}, r_{10}, s_{10}, W_9, Z_9
  33. Polygon(V_{10}, V_{10} + (2, 0), 4) → poly9_{10}, p_{11}, q_{11}, r_{11}, s_{11}, W_{10}, Z_{10}
  34. Polygon(V_{11}, V_{11} + (2, 0), 4) → poly9_{11}, p_{12}, q_{12}, r_{12}, s_{12}, W_{11}, Z_{11}
  35. Polygon(V_{12}, V_{12} + (2, 0), 4) → poly9_{12}, p_{13}, q_{13}, r_{13}, s_{13}, W_{12}, Z_{12}
  36. Polygon(V_{13}, V_{13} + (2, 0), 4) → poly9_{13}, p_{14}, q_{14}, r_{14}, s_{14}, W_{13}, Z_{13}
  37. Polygon(V_{14}, V_{14} + (2, 0), 4) → poly9_{14}, p_{15}, q_{15}, r_{15}, s_{15}, W_{14}, Z_{14}
  38. Polygon(V_{15}, V_{15} + (2, 0), 4) → poly9_{15}, p_{16}, q_{16}, r_{16}, s_{16}, W_{15}, Z_{15}
  39. Polygon(V_{16}, V_{16} + (2, 0), 4) → poly9_{16}, p_{17}, q_{17}, r_{17}, s_{17}, W_{16}, Z_{16}
  40. Polygon(V_{17}, V_{17} + (2, 0), 4) → poly9_{17}, p_{18}, q_{18}, r_{18}, s_{18}, W_{17}, Z_{17}
  41. Polygon(V_{18}, V_{18} + (2, 0), 4) → poly9_{18}, p_{19}, q_{19}, r_{19}, s_{19}, W_{18}, Z_{18}
  42. Polygon(V_{19}, V_{19} + (2, 0), 4) → poly9_{19}, p_{20}, q_{20}, r_{20}, s_{20}, W_{19}, Z_{19}
  43. Polygon(V_{20}, V_{20} + (2, 0), 4) → poly9_{20}, p_{21}, q_{21}, r_{21}, s_{21}, W_{20}, Z_{20}
  44. Polygon(V_{21}, V_{21} + (2, 0), 4) → poly9_{21}, p_{22}, q_{22}, r_{22}, s_{22}, W_{21}, Z_{21}
  45. Polygon(V_{22}, V_{22} + (2, 0), 4) → poly9_{22}, p_{23}, q_{23}, r_{23}, s_{23}, W_{22}, Z_{22}
  46. Polygon(V_{23}, V_{23} + (2, 0), 4) → poly9_{23}, p_{24}, q_{24}, r_{24}, s_{24}, W_{23}, Z_{23}
  47. Polygon(V_{24}, V_{24} + (2, 0), 4) → poly9_{24}, p_{25}, q_{25}, r_{25}, s_{25}, W_{24}, Z_{24}

AI Drawing Prompt Reference

Draw a stepped pattern of squares, starting with a large square of side length 10 at the bottom, then stack squares of decreasing side lengths (9, 8, 7, 6) above it, followed by multiple squares of side 5, then multiple squares of side 4, 3, and 2, each aligned horizontally with the top edge of the square below, forming a pyramid-like covering layout. All squares are solid filled with a uniform color.
The prompt above was compiled from the original drawing commands and is for reference only.