Islamic Geometric Patterns: Gonbad-e Sork

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2019-12-31 21:44

This example demonstrates the construction process of the Islamic geometric pattern Gonbad-e Sork. It involves core mathematical concepts such as symmetry, scatter plot, dilation, division, 2D vectors, and translation. Key GeoGebra commands used include Point, Rotate, Polygon, Dilate, Intersect, Midpoint, Line, Mirror, Centroid, PolyLine, Circle, Segment, LineBisector, and OrthogonalLine. Suitable for high school and above students to understand geometric transformations and pattern design.

GeoGebra Commands & Parameters

ConstructionStep() → stap
Point(yAxis) → N
Rotate(N, 60°) → N'
Polygon(N, N', 6) → veelhoek2, s, S, t, a, b, c, d, P, Q, R
Dilate(veelhoek2, 0.92) → veelhoek2'_{2}
Point(yAxis) → T
Rotate(T, 60°) → T'
Polygon(T, T', 6) → veelhoek3, e, Z, f_1, g_1, h_1, i_1, j_1, U, V, W
Intersect(xAxis, i_1) → A_1
Intersect(c, xAxis) → B_1
Midpoint(A_1, B_1) → C_1
Line(C_1, yAxis) → k_1
Mirror(veelhoek2, k_1) → veelhoek2'
Mirror(veelhoek3, k_1) → veelhoek3'
Point(xAxis) → C
Mirror(veelhoek2', yAxis) → veelhoek2''
Mirror(veelhoek3', yAxis) → veelhoek3''
Rotate(C_1, 60°) → D_1
Line(D_1, j_1) → l_1
Mirror(veelhoek2, l_1) → veelhoek2'_{1}
Mirror(veelhoek3, l_1) → veelhoek3'_{1}
Mirror(veelhoek2'_{1}, yAxis) → veelhoek4
Mirror(veelhoek3'_{1}, yAxis) → veelhoek5
Mirror(veelhoek3'_{1}, xAxis) → veelhoek6
Rotate(C, 30°) → C'
Mirror(veelhoek2'_{1}, xAxis) → veelhoek7
Mirror(veelhoek5, xAxis) → veelhoek5'
Mirror(veelhoek4, xAxis) → veelhoek4'
Centroid(veelhoek2'_{1}) → E_1
Mirror(E_1, yAxis) → F_1
Mirror(E_1, xAxis) → G_1
Mirror(F_1, xAxis) → H_1
Centroid(veelhoek2') → I_1
Mirror(I_1, yAxis) → J_1
Line(F_1, H_1) → m_1
Polygon(C, C', 12) → veelhoek1, f, p, q, r, D, E, F, G, H, I, J, g, K, L, M, h, i, j, k, l, m, n
Mirror(veelhoek3'_{1}, m_1) → veelhoek8
Mirror(veelhoek2'_{1}, m_1) → veelhoek9
Mirror(veelhoek5, k_1) → veelhoek5'_{1}
Mirror(veelhoek4, k_1) → veelhoek4'_{1}
Mirror(veelhoek9, xAxis) → veelhoek9'
Mirror(veelhoek8, xAxis) → veelhoek8'
Mirror(veelhoek4', k_1) → veelhoek4''
Mirror(veelhoek5', k_1) → veelhoek5''
Line(F_1, E_1) → n_1
Mirror(veelhoek3'', n_1) → veelhoek3'''
Mirror(veelhoek2'', n_1) → veelhoek2'''
Mirror(veelhoek2', n_1) → veelhoek2''_{1}
Mirror(veelhoek3''', yAxis) → veelhoek23
Mirror(veelhoek1, k_1) → veelhoek1'
Mirror(veelhoek1', yAxis) → veelhoek1''
Mirror(veelhoek1'', n_1) → veelhoek1'''
Mirror(veelhoek1, n_1) → veelhoek1'_{1}
Mirror(veelhoek1', n_1) → veelhoek1''_{1}
Mirror(veelhoek1''', xAxis) → veelhoek10
Mirror(veelhoek1'_{1}, xAxis) → veelhoek11
Mirror(veelhoek1''_{1}, xAxis) → veelhoek12
Rotate(veelhoek1', 60°) → veelhoek1''_{2}
Mirror(veelhoek1''_{2}, yAxis) → veelhoek13
Mirror(veelhoek1''_{2}, m_1) → veelhoek14
Mirror(veelhoek13, k_1) → veelhoek13'
Mirror(veelhoek14, xAxis) → veelhoek14'
Mirror(veelhoek13, xAxis) → veelhoek13'_{1}
Mirror(veelhoek1''_{2}, xAxis) → veelhoek15
Mirror(veelhoek13', xAxis) → veelhoek13''
PolyLine(K_1, L_1, M_1, N_1, O_1) → p_1
Mirror(K_1, yAxis) → P_1
Mirror(L_1, yAxis) → Q_1
Mirror(M_1, yAxis) → R_1
Mirror(N_1, yAxis) → S_1
Mirror(O_1, yAxis) → T_1
PolyLine(P_1, Q_1, R_1, S_1, T_1) → q_1
Intersect(xAxis, veelhoek1'') → Z_1, A_2
Intersect(veelhoek1'', veelhoek13) → W_1, C_2
Intersect(veelhoek13, veelhoek1''_{2}) → U_1, B_2
Intersect(veelhoek1'', veelhoek13'_{1}) → D_2, E_2
Intersect(veelhoek15, veelhoek13'_{1}) → F_2, G_2
Intersect(veelhoek15, veelhoek1') → H_2, I_2
Intersect(veelhoek1', veelhoek1''_{2}) → J_2, K_2
Circle(O, U_1) → c_1
Intersect(c_1, xAxis, 1) → L_2
Segment(U_1, L_2) → r_1
Intersect(r_1, veelhoek1'') → M_2
Mirror(M_2, xAxis) → O_2
Mirror(M_2, yAxis) → P_2
Mirror(O_2, yAxis) → Q_2
Rotate(U_1, 150°) → R_2
Rotate(U_1, 210°) → S_2
Rotate(U_1, 270°) → T_2
Rotate(U_1, 330°) → U_2
Mirror(A_2, yAxis) → V_2
Mirror(V_1, yAxis) → W_2
Rotate(V_2, 90°) → Z_2
Rotate(V_2, -90°) → A_3
Rotate(O_2, 90°) → B_3
Rotate(M_2, 90°) → C_3
Mirror(U_2, yAxis) → D_3
Rotate(Z_2, 60°) → E_3
Mirror(E_3, xAxis) → F_3
Mirror(F_3, yAxis) → G_3
Mirror(E_3, yAxis) → H_3
Polygon(Z_2, D_3, H_3, U_2, E_3, L_2, F_3, R_2, A_3, S_2, G_3, T_2) → veelhoek16, z_2, t_2, h_3, u_2, d_3, e_3, l_2, f_3, r_2, a_3, s_2, g_3
Mirror(Z_2, m_1) → I_3
Mirror(D_3, m_1) → J_3
Mirror(E_3, m_1) → K_3
Mirror(L_2, m_1) → L_3
Mirror(F_3, m_1) → M_3
Mirror(R_2, m_1) → N_3
Mirror(A_3, m_1) → O_3
Mirror(S_2, m_1) → P_3
Mirror(G_3, m_1) → Q_3
Mirror(T_2, m_1) → R_3
Mirror(H_3, m_1) → S_3
Mirror(U_2, m_1) → T_3
Polygon(I_3, J_3, S_3, T_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3) → veelhoek16', i_3, r_3, s_3, t_3, j_3, k_3, l_3, m_3, n_3, o_3, p_3, q_3
LineBisector(F_1, O) → s_1
Mirror(Z_2, s_1) → U_3
Mirror(D_3, s_1) → V_3
Mirror(E_3, s_1) → W_3
Mirror(L_2, s_1) → Z_3
Mirror(F_3, s_1) → A_4
Mirror(R_2, s_1) → B_4
Mirror(A_3, s_1) → C_4
Mirror(S_2, s_1) → D_4
Mirror(G_3, s_1) → E_4
Mirror(T_2, s_1) → F_4
Mirror(H_3, s_1) → G_4
Mirror(U_2, s_1) → H_4
Polygon(U_3, V_3, G_4, H_4, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4) → veelhoek16'_{1}, u_3, f_4, g_4, h_4, v_3, w_3, z_3, a_4, b_4, c_4, d_4, e_4
LineBisector(E_1, O) → t_1
Mirror(Z_2, t_1) → I_4
Mirror(D_3, t_1) → J_4
Mirror(E_3, t_1) → K_4
Mirror(L_2, t_1) → L_4
Mirror(F_3, t_1) → M_4
Mirror(R_2, t_1) → N_4
Mirror(A_3, t_1) → O_4
Mirror(S_2, t_1) → P_4
Mirror(G_3, t_1) → Q_4
Mirror(T_2, t_1) → R_4
Mirror(H_3, t_1) → S_4
Mirror(U_2, t_1) → T_4
Polygon(I_4, J_4, S_4, T_4, K_4, L_4, M_4, N_4, O_4, P_4, Q_4, R_4) → veelhoek16'_{2}, i_4, r_4, s_4, t_4, j_4, k_4, l_4, m_4, n_4, o_4, p_4, q_4
Mirror(Z_2, k_1) → U_4
Mirror(D_3, k_1) → V_4
Mirror(E_3, k_1) → W_4
Mirror(L_2, k_1) → Z_4
Mirror(F_3, k_1) → A_5
Mirror(R_2, k_1) → B_5
Mirror(A_3, k_1) → C_5
Mirror(S_2, k_1) → D_5
Mirror(G_3, k_1) → E_5
Mirror(T_2, k_1) → F_5
Mirror(H_3, k_1) → G_5
Mirror(U_2, k_1) → H_5
Polygon(U_4, V_4, G_5, H_5, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5) → veelhoek16'_{3}, u_4, f_5, g_5, h_5, v_4, w_4, z_4, a_5, b_5, c_5, d_5, e_5
LineBisector(O, H_1) → a_1
Mirror(Z_2, a_1) → I_5
Mirror(D_3, a_1) → J_5
Mirror(E_3, a_1) → K_5
Mirror(L_2, a_1) → L_5
Mirror(F_3, a_1) → M_5
Mirror(R_2, a_1) → N_5
Mirror(A_3, a_1) → O_5
Mirror(S_2, a_1) → P_5
Mirror(G_3, a_1) → Q_5
Mirror(T_2, a_1) → R_5
Mirror(H_3, a_1) → S_5
Mirror(U_2, a_1) → T_5
Polygon(I_5, J_5, S_5, T_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5) → veelhoek16'_{4}, i_5, r_5, s_5, t_5, j_5, k_5, l_5, m_5, n_5, o_5, p_5, q_5
LineBisector(G_1, O) → b_1
Mirror(Z_2, b_1) → U_5
Mirror(D_3, b_1) → V_5
Mirror(E_3, b_1) → W_5
Mirror(L_2, b_1) → Z_5
Mirror(F_3, b_1) → A_6
Mirror(R_2, b_1) → B_6
Mirror(A_3, b_1) → C_6
Mirror(S_2, b_1) → D_6
Mirror(G_3, b_1) → E_6
Mirror(T_2, b_1) → F_6
Mirror(H_3, b_1) → G_6
Mirror(U_2, b_1) → H_6
Polygon(U_5, V_5, G_6, H_6, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6) → veelhoek16'_{5}, u_5, f_6, g_6, h_6, v_5, w_5, z_5, a_6, b_6, c_6, d_6, e_6
Rotate(S, -90°, D_1) → S'
Rotate(S, 90°, D_1) → S'_{1}
Rotate(N, 90°, D_1) → N'_{2}
Segment(S'_{1}, N'_{2}) → d'_{1}
Line(S_4, T_4) → d_1
Intersect(d_1, d'_{1}) → I_6
Line(H_3, U_2) → e_1
Intersect(e_1, d'_{1}) → J_6
OrthogonalLine(D_1, t_1) → f_2
Mirror(I_6, f_2) → K_6
Mirror(J_6, f_2) → L_6
Mirror(K_6, k_1) → M_6
Mirror(I_6, k_1) → N_6
Mirror(J_6, k_1) → O_6
Line(H_3, T_2) → g_2
Rotate(R, -90°, C_1) → R'
Rotate(S, -90°, C_1) → S'_{2}
Segment(R', S'_{2}) → c'
Intersect(g_2, c') → P_6
Mirror(P_6, k_1) → Q_6
Polygon(S_4, I_6, J_6, H_3, P_6, Q_6, G_5, O_6, N_6) → veelhoek17, h_2, i_6, j_6, i_2, p_6, q_6, j_2, o_6, n_6
Mirror(S_4, yAxis) → R_6
Mirror(I_6, yAxis) → S_6
Mirror(J_6, yAxis) → T_6
Mirror(H_3, yAxis) → U_6
Mirror(P_6, yAxis) → V_6
Mirror(Q_6, yAxis) → W_6
Mirror(G_5, yAxis) → Z_6
Mirror(O_6, yAxis) → A_7
Mirror(N_6, yAxis) → B_7
Polygon(R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7) → veelhoek17', r_6, s_6, t_6, u_6, v_6, w_6, z_6, a_7, b_7
Line(E_1, I_1) → k_2
Mirror(S_4, k_2) → C_7
Mirror(I_6, k_2) → D_7
Mirror(J_6, k_2) → E_7
Mirror(H_3, k_2) → F_7
Mirror(P_6, k_2) → G_7
Mirror(Q_6, k_2) → H_7
Mirror(G_5, k_2) → I_7
Mirror(O_6, k_2) → J_7
Mirror(N_6, k_2) → K_7
Polygon(C_7, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7) → veelhoek17'_{1}, c_7, d_7, e_7, f_7, g_7, h_7, i_7, j_7, k_7
Mirror(C_7, yAxis) → L_7
Mirror(D_7, yAxis) → M_7
Mirror(E_7, yAxis) → N_7
Mirror(F_7, yAxis) → O_7
Mirror(G_7, yAxis) → P_7
Mirror(H_7, yAxis) → Q_7
Mirror(I_7, yAxis) → R_7
Mirror(J_7, yAxis) → S_7
Mirror(K_7, yAxis) → T_7
Polygon(L_7, M_7, N_7, O_7, P_7, Q_7, R_7, S_7, T_7) → veelhoek18, l_7, m_7, n_7, o_7, p_7, q_7, r_7, s_7, t_7
Mirror(C_7, xAxis) → U_7
Mirror(D_7, xAxis) → V_7
Mirror(E_7, xAxis) → W_7
Mirror(F_7, xAxis) → Z_7
Mirror(G_7, xAxis) → A_8
Mirror(H_7, xAxis) → B_8
Mirror(I_7, xAxis) → C_8
Mirror(J_7, xAxis) → D_8
Mirror(K_7, xAxis) → E_8
Polygon(U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8, E_8) → veelhoek19, u_7, v_7, w_7, z_7, a_8, b_8, c_8, d_8, e_8
Mirror(U_7, k_1) → F_8
Mirror(V_7, k_1) → G_8
Mirror(W_7, k_1) → H_8
Mirror(Z_7, k_1) → I_8
Mirror(A_8, k_1) → J_8
Mirror(B_8, k_1) → K_8
Mirror(C_8, k_1) → L_8
Mirror(D_8, k_1) → M_8
Mirror(E_8, k_1) → N_8
Polygon(F_8, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8) → veelhoek19', f_8, g_8, h_8, i_8, j_8, k_8, l_8, m_8, n_8
Mirror(U_7, yAxis) → O_8
Mirror(V_7, yAxis) → P_8
Mirror(W_7, yAxis) → Q_8
Mirror(Z_7, yAxis) → R_8
Mirror(A_8, yAxis) → S_8
Mirror(B_8, yAxis) → T_8
Mirror(C_8, yAxis) → U_8
Mirror(D_8, yAxis) → V_8
Mirror(E_8, yAxis) → W_8
Polygon(O_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, W_8) → veelhoek19'_{1}, o_8, p_8, q_8, r_8, s_8, t_8, u_8, v_8, w_8
Mirror(C_7, t_1) → Z_8
Mirror(D_7, t_1) → A_9
Mirror(E_7, t_1) → B_9
Mirror(F_7, t_1) → C_9
Mirror(G_7, t_1) → D_9
Mirror(H_7, t_1) → E_9
Mirror(I_7, t_1) → F_9
Mirror(J_7, t_1) → G_9
Mirror(K_7, t_1) → H_9
Polygon(Z_8, A_9, B_9, C_9, D_9, E_9, F_9, G_9, H_9) → veelhoek20, z_8, a_9, b_9, c_9, d_9, e_9, f_9, g_9, h_9
Mirror(Z_8, yAxis) → I_9
Mirror(A_9, yAxis) → J_9
Mirror(B_9, yAxis) → K_9
Mirror(C_9, yAxis) → L_9
Mirror(D_9, yAxis) → M_9
Mirror(E_9, yAxis) → N_9
Mirror(F_9, yAxis) → O_9
Mirror(G_9, yAxis) → P_9
Mirror(H_9, yAxis) → Q_9
Polygon(I_9, J_9, K_9, L_9, M_9, N_9, O_9, P_9, Q_9) → veelhoek20', i_9, j_9, k_9, l_9, m_9, n_9, o_9, p_9, q_9
Mirror(U_7, t_1) → R_9
Mirror(V_7, t_1) → S_9
Mirror(W_7, t_1) → T_9
Mirror(Z_7, t_1) → U_9
Mirror(A_8, t_1) → V_9
Mirror(B_8, t_1) → W_9
Mirror(C_8, t_1) → Z_9
Mirror(D_8, t_1) → A_{10}
Mirror(E_8, t_1) → B_{10}
Polygon(R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}) → veelhoek19'_{2}, r_9, s_9, t_9, u_9, v_9, w_9, z_9, a_{10}, b_{10}
Mirror(L_7, a_1) → C_{10}
Mirror(M_7, a_1) → D_{10}
Mirror(N_7, a_1) → E_{10}
Mirror(O_7, a_1) → F_{10}
Mirror(P_7, a_1) → G_{10}
Mirror(Q_7, a_1) → H_{10}
Mirror(R_7, a_1) → I_{10}
Mirror(S_7, a_1) → J_{10}
Mirror(T_7, a_1) → K_{10}
Polygon(C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}) → veelhoek18', c_{10}, d_{10}, e_{10}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}
Mirror(F_8, xAxis) → L_{10}
Mirror(G_8, xAxis) → M_{10}
Mirror(H_8, xAxis) → N_{10}
Mirror(I_8, xAxis) → O_{10}
Mirror(J_8, xAxis) → P_{10}
Mirror(K_8, xAxis) → Q_{10}
Mirror(L_8, xAxis) → R_{10}
Mirror(M_8, xAxis) → S_{10}
Mirror(N_8, xAxis) → T_{10}
Polygon(L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}) → veelhoek19'', l_{10}, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{10}, s_{10}, t_{10}
Line(H_1, G_1) → m_2
Mirror(O_8, m_2) → U_{10}
Mirror(P_8, m_2) → V_{10}
Mirror(Q_8, m_2) → W_{10}
Mirror(R_8, m_2) → Z_{10}
Mirror(S_8, m_2) → A_{11}
Mirror(T_8, m_2) → B_{11}
Mirror(U_8, m_2) → C_{11}
Mirror(V_8, m_2) → D_{11}
Mirror(W_8, m_2) → E_{11}
Polygon(U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}) → veelhoek21, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}
Mirror(F_8, m_2) → F_{11}
Mirror(G_8, m_2) → G_{11}
Mirror(H_8, m_2) → H_{11}
Mirror(I_8, m_2) → I_{11}
Mirror(J_8, m_2) → J_{11}
Mirror(K_8, m_2) → K_{11}
Mirror(L_8, m_2) → L_{11}
Mirror(M_8, m_2) → M_{11}
Mirror(N_8, m_2) → N_{11}
Polygon(F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}) → veelhoek19''_{1}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}
Mirror(Z_8, m_2) → P_{11}
Mirror(A_9, m_2) → Q_{11}
Mirror(B_9, m_2) → R_{11}
Mirror(C_9, m_2) → S_{11}
Mirror(D_9, m_2) → T_{11}
Mirror(E_9, m_2) → U_{11}
Mirror(F_9, m_2) → V_{11}
Mirror(G_9, m_2) → W_{11}
Mirror(H_9, m_2) → Z_{11}
Polygon(P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}) → veelhoek20'_{1}, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}, u_{11}, v_{11}, w_{11}, z_{11}
Mirror(I_9, m_2) → A_{12}
Mirror(J_9, m_2) → B_{12}
Mirror(K_9, m_2) → C_{12}
Mirror(L_9, m_2) → D_{12}
Mirror(M_9, m_2) → E_{12}
Mirror(N_9, m_2) → F_{12}
Mirror(O_9, m_2) → G_{12}
Mirror(P_9, m_2) → H_{12}
Mirror(Q_9, m_2) → I_{12}
Polygon(A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}) → veelhoek20'', a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}
Mirror(L_7, n_1) → J_{12}
Mirror(M_7, n_1) → K_{12}
Mirror(N_7, n_1) → L_{12}
Mirror(O_7, n_1) → M_{12}
Mirror(P_7, n_1) → N_{12}
Mirror(Q_7, n_1) → O_{12}
Mirror(R_7, n_1) → P_{12}
Mirror(S_7, n_1) → Q_{12}
Mirror(T_7, n_1) → R_{12}
Polygon(J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}) → veelhoek18'_{1}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}
Mirror(L_{10}, n_1) → S_{12}
Mirror(M_{10}, n_1) → T_{12}
Mirror(N_{10}, n_1) → U_{12}
Mirror(O_{10}, n_1) → V_{12}
Mirror(P_{10}, n_1) → W_{12}
Mirror(Q_{10}, n_1) → Z_{12}
Mirror(R_{10}, n_1) → A_{13}
Mirror(S_{10}, n_1) → B_{13}
Mirror(T_{10}, n_1) → C_{13}
Polygon(S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, C_{13}) → veelhoek19''', s_{12}, t_{12}, u_{12}, v_{12}, w_{12}, z_{12}, a_{13}, b_{13}, c_{13}
Mirror(C_7, n_1) → D_{13}
Mirror(D_7, n_1) → E_{13}
Mirror(E_7, n_1) → F_{13}
Mirror(F_7, n_1) → G_{13}
Mirror(G_7, n_1) → H_{13}
Mirror(H_7, n_1) → I_{13}
Mirror(I_7, n_1) → J_{13}
Mirror(J_7, n_1) → K_{13}
Mirror(K_7, n_1) → L_{13}
Polygon(D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}) → veelhoek22, d_{13}, e_{13}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}

AI Drawing Prompt Reference

Draw an Islamic geometric pattern featuring multiple hexagons, created through rotations, reflections, and scalings to generate a complex decorative design. Start with a hexagon, then rotate and reflect it around the axes, followed by scaling and connecting operations to build a symmetric geometric structure, resulting in a highly symmetrical and ornamental pattern.

The prompt above was compiled from the original drawing commands and is for reference only.