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Polygon Rotation Art

Polygon Rotation Art
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2020-03-07 20:36
PolygonTransformation
This example demonstrates the artistic effect of rotating polygons. Key mathematical concepts include polygons and rotation. Using GeoGebra commands such as Polygon, Sequence, and Line, you can construct rotating polygons. Suitable for middle school and above students to learn geometric transformations.

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
  17. Line(M_3, N_3) → p
  18. Line(O_3, P_3) → f_4
  19. Line(Q_3, R_3) → g_4
  20. Line(S_3, T_3) → h_4

AI Drawing Prompt Reference

Create an artistic pattern composed of multiple rotating polygons. First, draw a hexagon and rotate it 6 times around a point to form a rotation sequence. Then, draw another hexagon and rotate it 6 times around another point to form another rotation sequence. Next, draw a third hexagon and rotate it 6 times around a third point to form a third rotation sequence. Finally, draw a fourth hexagon and rotate it 6 times around a fourth point to form a fourth rotation sequence. Each hexagon is rotated around a different point, creating a complex rotating polygon art pattern.
The prompt above was compiled from the original drawing commands and is for reference only.