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Rotating Polygons for Art Figures

Rotating Polygons for Art Figures
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2020-02-03 05:04
Polygon
This example demonstrates creating art figures by rotating polygons. Key mathematical concepts include polygon rotation and geometric construction. It uses commands like Polygon, Sequence, and Rotation in GeoGebra. Suitable for middle school and above students or teachers for geometry construction and transformation lessons.

GeoGebra Commands & Parameters

  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