Cubus simus与Tribonacci数
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该范例演示了Cubus simus与Tribonacci数的关系。涉及的核心数学概念包括数列和几何构造。通过使用Polygon命令构建多边形,展示了数列的性质和几何图形的变换。适合高中及以上数学爱好者和教育工作者。
GeoGebra 命令及参数
Polygon(G_1, E_1, E, G) → v1, g_3, e_2, e_3, g_4Polygon(K, S, W, O) → v2, k_3, s_3, w, oPolygon(C, A, A_1, C_1) → v3, c_2, a_2, a_3, c_3Polygon(I, Q, U, M) → v4, i_3, q_3, u, m_3Polygon(T_1, L_1, K_1, S_1) → v5, t_2, l_3, k_4, s_4Polygon(R_1, J_1, I_1, Q_1) → v6, r_3, j_3, i_4, q_4Polygon(R, J, N, V) → v7, r_4, j_4, n_3, vPolygon(L, P, Z, T) → v8, l_4, p_3, z_1, t_3Polygon(M_1, N_1, V_1, U_1) → v9, m_4, n_4, v_1, u_1Polygon(O_1, P_1, Z_1, W_1) → v10, o_1, p_4, z_2, w_1Polygon(F, H, H_1, F_1) → v11, f_3, h_3, h_4, f_4Polygon(D, D_1, B_1, B) → v12, d_2, d_3, b_2, b_3Polygon(I_1, Q, I, A, A_1, Q_1) → Vieleck1, i_1, q, i, a, a_1, q_1Polygon(S_1, C_1, C, K, S, K_1) → Vieleck2, s_1, c_1, c, k, s_2, k_1Polygon(O_1, W, O, G, G_1, W_1) → Vieleck3, o_2, w_2, o_3, g, g_1, w_3Polygon(U_1, E_1, E, M, U, M_1) → Vieleck4, u_2, e_1, e, m, u_3, m_1Polygon(N, F, F_1, V_1, N_1, V) → Vieleck5, n, f, f_1, v_2, n_1, v_3Polygon(B, J, R, J_1, R_1, B_1) → Vieleck6, b, j, r, j_1, r_1, b_1Polygon(L, D, D_1, T_1, L_1, T) → Vieleck7, l, d, d_1, t_1, l_1, t_4Polygon(H, P, Z, P_1, Z_1, H_1) → Vieleck8, h, p, z_3, p_1, z_4, h_1Polygon(A, I, M, E, G, O, K, C) → Vieleck9, a_4, i_2, m_2, e_4, g_2, o_4, k_2, c_4Polygon(V_1, F_1, H_1, Z_1, W_1, G_1, E_1, U_1) → Vieleck10, v_4, f_2, h_2, z_5, w_4, g_5, e_5, u_4Polygon(R, V, N_1, M_1, U, Q, I_1, J_1) → Vieleck11, r_2, v_5, n_2, m_5, u_5, q_2, i_5, j_2Polygon(D_1, B_1, R_1, Q_1, A_1, C_1, S_1, T_1) → Vieleck12, d_4, b_4, r_5, q_5, a_5, c_5, s_5, t_5Polygon(Z, T, L_1, K_1, S, W, O_1, P_1) → Vieleck13, z_6, t_6, l_2, k_5, s_6, w_5, o_5, p_2Polygon(F, N, J, B, D, L, P, H) → Vieleck14, f_5, n_5, j_5, b_5, d_5, l_5, p_5, h_5Polygon(E_1, W_1, G) → d1, g_6, e_6, w_6Polygon(W_1, W, G) → d2, g_7, w_7, w_8Polygon(W_1, P_1, W) → d3, w_9, w_{10}, p_6Polygon(G, W, K) → d4, k_6, g_8, w_{11}Polygon(M, E_1, G) → d5, g_9, m_6, e_7Polygon(W_1, H_1, V_1, E_1) → v13, w_{12}, h_6, v_6, e_8Polygon(H_1, P_1, W_1) → d6, w_{13}, h_7, p_7Polygon(M_1, V_1, E_1) → d7, e_9, m_7, v_7Polygon(M_1, E_1, M) → d8, m_8, m_9, e_{10}Polygon(M, E_1, G) → d9, g_{10}, m_{10}, e_{11}Polygon(M_1, V, V_1) → d10, v_8, m_{11}, v_9Polygon(M, Q, M_1) → d11, m_{12}, m_{13}, q_6Polygon(Q, M_1, V, J_1) → v14, q_7, m_{14}, v_{10}, j_6Polygon(Q, M, A) → d12, a_7, q_8, m_{15}Polygon(J_1, Q, Q_1) → d13, q_9, j_7, q_{10}Polygon(Q_1, Q, A) → d14, a_8, q_{11}, q_{12}Polygon(A, M, G, K) → v15, a_9, m_{16}, g_{11}, k_7Polygon(C_1, Q_1, A) → d15, a_{10}, c_6, q_{13}Polygon(B_1, J_1, Q_1) → d16, q_{14}, b_7, j_8Polygon(B_1, Q_1, C_1, T_1) → v16, b_8, q_{15}, c_7, t_7Polygon(C_1, A, K) → d17, k_8, c_8, a_{11}Polygon(C_1, K_1, T_1) → d18, t_8, c_9, k_9Polygon(C_1, K, K_1) → d19, k_{10}, c_{10}, k_{11}Polygon(W, K_1, K) → d20, k_{12}, w_{14}, k_{13}Polygon(K_1, T, T_1) → d21, t_9, k_{14}, t_{10}Polygon(P_1, T, K_1, W) → v17, p_8, t_{11}, k_{15}, w_{15}Polygon(P_1, W, W_1) → d22, w_{16}, p_9, w_{17}Polygon(V, F, V_1) → d23, v_{11}, v_{12}, f_6Polygon(F, H_1, V_1) → d24, v_{13}, f_7, h_8Polygon(F, P, H_1) → d25, h_9, f_8, p_{10}Polygon(P, P_1, H_1) → d26, h_{10}, p_{11}, p_{12}Polygon(P, T, P_1) → d27, p_{13}, p_{14}, t_{12}Polygon(P, D, T) → d28, t_{13}, p_{15}, d_6Polygon(D, T_1, T) → d29, t_{14}, d_7, t_{15}Polygon(D, B_1, T_1) → d30, t_{16}, d_8, b_9Polygon(D, J, B_1) → d31, b_{10}, d_9, j_9Polygon(B_1, J, J_1) → d32, j_{10}, b_{11}, j_{11}Polygon(J_1, J, V) → d33, v_{14}, j_{12}, j_{13}Polygon(J, F, V) → d34, v_{15}, j_{14}, f_9Polygon(D, P, F, J) → v18, d_{10}, p_{16}, f_{10}, j_{15}
AI 绘图提示语参考
绘制一系列多边形,展示它们之间的几何关系和变换。首先绘制由四条线段连接的四个点构成的多边形,然后依次绘制由不同点连接的多边形,展示序列的演变。多边形之间通过共享顶点和边进行连接,形成复杂的几何结构,体现序列和几何构造的转换关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。