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Islamic Geometric Patterns Demo

Islamic Geometric Patterns Demo
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2019-12-31 21:29
MatrixTransformationGeometric Construction
This example demonstrates the construction of Islamic geometric patterns, involving core concepts like symmetry, conic sections, perimeter, surface area, arithmetic mean, and matrix operations. It utilizes GeoGebra commands such as Polygon, Point, and PolyLine for the construction. Suitable for high school students and geometry enthusiasts to explore complex geometric constructions and transformations.

GeoGebra Commands & Parameters

  1. Polygon(Q, R, C_1, D_1, E_1, F_1, S, T, U, V, W, Z, A_1, B_1) → veelhoek2, q, b_1, c_1, d_1, e_1, f_1, r, s, t, u, v, w, z_1, a_1
  2. Polygon(N_1, R_1, P_1, O_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, Q_1) → veelhoek3, n_1, q_1, p_1, o_1, r_1, g_1, h_1, i_1, j_1, k_1, l_1, m_1
  3. Polygon(S_1, T_1, U_1, V_1, W_1, Z_1, C_2, D_2, A_2, B_2) → veelhoek4, s_1, b_2, t_1, u_1, v_1, w_1, a, c_2, d_2, a_2
  4. Polygon(Q_2, E_2, N_2, O_2, P_2, Z_2, V_2, W_2, U_2, T_2, S_2, R_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, M_2) → veelhoek1, q_2, m_2, n_2, o_2, p_2, z_2, v_2, w_2, u_2, t_2, s_2, e_2, r_2, f_2, g_2, h_2, i_2, j_2, k_2, l_2
  5. Point(xAxis) → A_3
  6. PolyLine(A_3, F_3, H_3, G_3, A_3, C_3, B_3, D_3, E_3, L_3, K_3, J_3, I_3) → f
  7. PolyLine(M_3, B_4, Q_3, P_3, O_3, N_3, M_3, A_4, Z_3, W_3, V_3, U_3, T_3, S_3, R_3) → g
  8. Polygon(Q_4, R_4, E_4, J_4, K_4, L_4, M_4, N_4, O_4, P_4, S_4, T_4, I_4, H_4, G_4, F_4, C_4, D_4) → veelhoek5, q_4, d_4, e_4, j_4, k_4, l_4, m_4, n_4, o_4, p_4, r_4, s_4, t_4, i_4, h_4, g_4, f_4, c_4
  9. Point(yAxis) → V_4
  10. Polygon(U_4, L_5, C_5, B_5, A_5, Z_4, W_4, V_4, K_5, J_5, I_5, H_5, G_5, F_5, E_5, D_5) → veelhoek6, u_4, d_5, c_5, b_5, a_5, z_4, w_4, v_4, l_5, k_5, j_5, i_5, h_5, g_5, f_5, e_5