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Play Chomp! Example

Play Chomp! Example
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2018-01-23 19:53
CircleFunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates a graphical implementation of the mathematical game Chomp!, integrating logic with geometry. Core math concepts include logical reasoning, circumcircle of a circle, real numbers, root calculations, tangent lines, and trigonometric functions. Construction highlights from the summary involve commands like Random, Intersect, Polygon, Point, and Sequence. Suitable for high school and above, focusing on geometric constructions and dynamic function graphs.

GeoGebra Commands & Parameters

  1. Random(5, 10) → l
  2. Random(3, 5) → t
  3. Intersect(xAxis, yAxis) → A
  4. Polygon(A, B, 4) → p11, f, g, h, i, C, D
  5. Point(xAxis) → E
  6. Polygon(B, E, 4) → p12, j, k, m, n, F, G
  7. Point(xAxis) → H
  8. Polygon(E, H, 4) → p13, p, q, r, s, I, J
  9. Point(xAxis) → K
  10. Polygon(H, K, 4) → p14, a, b, c, d, L, M
  11. Point(xAxis) → N
  12. Polygon(K, N, 4) → p15, e, f_1, g_1, h_1, O, P
  13. Point(xAxis) → Q
  14. Polygon(N, Q, 4) → p16, i_1, j_1, k_1, l_1, R, S
  15. Point(xAxis) → T
  16. Polygon(Q, T, 4) → p17, m_1, n_1, p_1, q_1, U, V
  17. Polygon(T, W, 4) → p18, r_1, s_1, t_1, a_1, Z, A_1
  18. Polygon(D, C, 4) → p21, b_1, c_1, d_1, e_1, B_1, C_1
  19. Polygon(C, F, 4) → p22, f_2, g_2, h_2, i_2, D_1, E_1
  20. Polygon(F, I, 4) → p23, j_2, k_2, l_2, m_2, F_1, G_1
  21. Polygon(I, L, 4) → p24, n_2, p_2, q_2, r_2, H_1, I_1
  22. Polygon(L, O, 4) → p25, s_2, t_2, a_2, b_2, J_1, K_1
  23. Polygon(O, R, 4) → p26, c_2, d_2, e_2, f_3, L_1, M_1
  24. Polygon(R, U, 4) → p27, g_3, h_3, i_3, j_3, N_1, O_1
  25. Polygon(U, Z, 4) → p28, k_3, l_3, m_3, n_3, P_1, Q_1
  26. Polygon(C_1, B_1, 4) → p31, p_3, q_3, r_3, s_3, R_1, S_1
  27. Polygon(B_1, D_1, 4) → p32, t_3, a_3, b_3, c_3, T_1, U_1
  28. Polygon(D_1, F_1, 4) → p33, d_3, e_3, f_4, g_4, V_1, W_1
  29. Polygon(F_1, H_1, 4) → p34, h_4, i_4, j_4, k_4, Z_1, A_2
  30. Polygon(H_1, J_1, 4) → p35, l_4, m_4, n_4, p_4, B_2, C_2
  31. Polygon(J_1, L_1, 4) → p36, q_4, r_4, s_4, t_4, D_2, E_2
  32. Polygon(L_1, N_1, 4) → p37, a_4, b_4, c_4, d_4, F_2, G_2
  33. Polygon(N_1, P_1, 4) → p38, e_4, f_5, g_5, h_5, H_2, I_2
  34. Sequence(Segment[(a, 0), (a, 3)], a, 0, 8) → L_2
  35. Sequence(Segment[(0, a), (8, a)], a, 0, 3) → L_3

AI Drawing Prompt Reference

Draw a grid of squares filled with different colors to represent a mathematical game. The grid consists of multiple layers of squares, with each layer increasing in number from bottom to top, alternating between 4 and 3 squares. The squares are interconnected by thin lines, creating a dynamic effect.
The prompt above was compiled from the original drawing commands and is for reference only.