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旋转多边形的艺术图形

旋转多边形的艺术图形
几何画板及绘图内容加载中，请稍等……
2020-02-03 05:04
多边形
本范例展示了如何通过旋转多边形来创建艺术图形。核心数学概念包括多边形的旋转和几何作图。使用了Polygon, Sequence, Rotation等GeoGebra命令。适合初中及以上学生或教师用于几何作图和变换教学。

GeoGebra 命令及参数

  1. Polygon(B, C, type) → poly1, a, j, D, E, F, G, H, I, J, K, b, c, d, e, f, g, h, i
  2. Sequence(Rotate[poly1, i, A], i, 0, 6.283185307179586, (2 * π / Rotation)) → liste1
  3. Polygon(M, N, type) → poly2, k, b_2, O, P, Q, R, S, T, M_1, R_1, l, m, q, r, s, t, a_1, q_1
  4. Sequence(Rotate[poly2, i, L], i, 0, 6.28319, (2 * π / Rotation)) → liste2
  5. Polygon(V, W, type) → poly3, b_1, c_2, Z, A_1, B_1, C_1, D_1, N_1, O_1, S_1, c_1, d_1, e_1, f_1, g_1, h_1, r_1, s_1
  6. Sequence(Rotate[poly3, i, U], i, 0, 6.28319, (2 * π / Rotation)) → liste3
  7. Polygon(F_1, G_1, type) → poly4, i_1, d_2, H_1, I_1, J_1, K_1, L_1, P_1, Q_1, T_1, j_1, k_1, l_1, m_1, n_1, p_1, t_1, a_2
  8. Sequence(Rotate[poly4, i, E_1], i, 0, 6.28319, (2 * π / Rotation)) → liste4
  9. Polygon(V_1, W_1, type) → poly5, e_2, m_3, Z_1, A_2, B_2, C_2, R_2, U_2, V_2, C_3, f_2, g_2, h_2, i_2, j_2, d_3, g_3, h_3
  10. Sequence(Rotate[poly5, i, U_1], i, 0, 6.28319, π / Rotation) → liste5
  11. Polygon(E_2, F_2, type) → poly6, k_2, n_3, G_2, H_2, I_2, P_2, S_2, W_2, Z_2, D_3, l_2, m_2, n_2, p_2, b_3, e_3, i_3, j_3
  12. Sequence(Rotate[poly6, i, D_2], i, 0, 6.28319, (0.75 * π / Rotation)) → liste6
  13. Polygon(K_2, L_2, type) → poly7, q_2, p_3, M_2, N_2, O_2, Q_2, T_2, A_3, B_3, E_3, r_2, s_2, t_2, a_3, c_3, f_3, k_3, l_3
  14. Sequence(Rotate[poly7, i, J_2], i, 0, 6.28319, (2 * π / Rotation)) → liste7
  15. Polygon(G_3, H_3, type) → poly8, q_3, L_3, r_3, s_3, t_3, a_4, n, I_3, J_3, K_3
  16. Sequence(Rotate[poly8, i, F_3], i, 0, 6.28319, π / Rotation) → liste8