Polygon and Matrix Transformation
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Polygons: first steps (GER)
This example demonstrates the transformation of polygons and their relationship with matrices. Key mathematical concepts include polygons, matrices, and transformations. Using GeoGebra commands such as Polygon, Circle, and Point, dynamic changes in polygons can be observed and constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Polygon(A, B, 4) → Vieleck2, j, k, l, m, C, DCircle(E, 1) → cCircle(E, 2) → dCircle(E, 3) → eCircle(E, 4) → pCircle(E, 5) → qCircle(E, 6) → rCircle(E, 7) → sCircle(E, 8) → tCircle(E, 9) → c_1Circle(E, 10) → d_1Circle(E, 11) → e_1Circle(E, 12) → f_1Circle(E, 13) → g_1Circle(E, 14) → h_1Circle(E, 15) → k_1Circle(E, 16) → p_1Circle(E, 17) → q_1Point(c) → FPoint(c) → GPolygon(F, G, 2) → Vieleck3, n, aPolygon(F, G, 3) → Vieleck4, b, i_1, j_1, HPolygon(F, G, 4) → Vieleck5, l_1, m_1, n_1, a_1, I, JPolygon(F, G, 5) → Vieleck6, b_1, f_2, g_2, h_2, i_2, K, L, MPolygon(F, G, 6) → Vieleck7, j_2, Q, k_2, l_2, m_2, n_2, p_2, N, O, PPolygon(F, G, 7) → Vieleck8, q_2, T, U, V, r_2, s_2, t_2, a_2, b_2, c_2, R, SPolygon(F, G, 8) → Vieleck9, d_2, Z, A_1, B_1, C_1, D_1, e_2, f_3, g_3, h_3, i_3, j_3, k_3, WPolygon(F, G, 9) → Vieleck10, l_3, E_1, F_1, G_1, H_1, I_1, J_1, K_1, m_3, n_3, p_3, q_3, r_3, s_3, t_3, a_3Polygon(F, G, 10) → Vieleck11, b_3, k_4, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, c_3, d_3, e_3, f_4, g_4, h_4, i_4, j_4Polygon(F, G, 11) → Vieleck12, l_4, b_4, c_4, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, m_4, D_2, n_4, p_4, q_4, r_4, s_4, t_4, a_4Polygon(F, G, 12) → Vieleck13, d_4, m_5, n_5, p_5, E_2, F_2, G_2, H_2, I_2, J_2, K_2, e_4, L_2, M_2, N_2, f_5, g_5, h_5, i_5, j_5, k_5, l_5Polygon(F, G, 13) → Vieleck14, q_5, f_6, g_6, h_6, i_6, O_2, P_2, Q_2, R_2, S_2, T_2, r_5, U_2, V_2, W_2, Z_2, A_3, s_5, t_5, a_5, b_5, c_5, d_5, e_5Polygon(F, G, 14) → Vieleck15, j_6, t_6, a_6, b_6, c_6, d_6, B_3, C_3, D_3, E_3, F_3, k_6, G_3, H_3, I_3, J_3, K_3, L_3, M_3, l_6, m_6, n_6, p_6, q_6, r_6, s_6Polygon(F, G, 15) → Vieleck16, e_6, n_7, p_7, q_7, r_7, s_7, t_7, N_3, O_3, P_3, Q_3, f_7, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, g_7, h_7, i_7, j_7, k_7, l_7, m_7Polygon(F, G, 16) → Vieleck17, a_7, j_8, k_8, l_8, m_8, n_8, p_8, q_8, C_4, D_4, E_4, b_7, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4, O_4, c_7, P_4, d_7, e_7, f_8, g_8, h_8, i_8Polygon(F, G, 17) → Vieleck18, r_8, g_9, h_9, i_9, j_9, k_9, l_9, m_9, n_9, Q_4, R_4, s_8, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, B_5, C_5, D_5, t_8, E_5, F_5, G_5, a_8, b_8, c_8, d_8, e_8, f_9Polygon(F, G, 18) → Vieleck19, p_9, e_9, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, H_5, q_9, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, r_9, S_5, T_5, U_5, V_5, W_5, s_9, t_9, a_9, b_9, c_9, d_9Polygon(F, G, 19) → Vieleck20, n_{10}, d_{10}, e_{10}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, p_{10}, Z_5, A_6, B_6, C_6, D_6, E_6, F_6, G_6, H_6, I_6, q_{10}, J_6, K_6, L_6, M_6, N_6, O_6, P_6, r_{10}, s_{10}, t_{10}, a_{10}, b_{10}, c_{10}Polygon(F, G, 20) → Vieleck21, n_{11}, d_{11}, e_{11}, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}, p_{11}, n_{12}, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, q_{11}, B_7, C_7, D_7, E_7, F_7, G_7, H_7, I_7, J_7, r_{11}, s_{11}, t_{11}, a_{11}, b_{11}, c_{11}Polygon(F, G, 21) → Vieleck22, p_{12}, e_{12}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, q_{12}, p_{13}, q_{13}, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, R_7, r_{12}, S_7, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8, s_{12}, E_8, t_{12}, a_{12}, b_{12}, c_{12}, d_{12}Polygon(F, G, 22) → Vieleck23, r_{13}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, p_{14}, q_{14}, s_{13}, r_{14}, s_{14}, t_{14}, F_8, G_8, H_8, I_8, J_8, K_8, L_8, t_{13}, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, a_{13}, W_8, Z_8, A_9, b_{13}, c_{13}, d_{13}, e_{13}, f_{14}Polygon(F, G, 23) → Vieleck24, a_{14}, j_{15}, k_{15}, l_{15}, m_{15}, n_{15}, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, b_{14}, a_{15}, b_{15}, c_{15}, d_{15}, B_9, C_9, D_9, E_9, F_9, G_9, c_{14}, H_9, I_9, J_9, K_9, L_9, M_9, N_9, O_9, P_9, Q_9, d_{14}, R_9, S_9, T_9, U_9, V_9, e_{14}, f_{15}, g_{15}, h_{15}, i_{15}Polygon(F, G, 24) → Vieleck25, e_{15}, n_{16}, p_{16}, q_{16}, r_{16}, s_{16}, t_{16}, a_{16}, b_{16}, c_{16}, d_{16}, f_{16}, e_{16}, f_{17}, g_{17}, h_{17}, i_{17}, W_9, Z_9, A_{10}, B_{10}, C_{10}, g_{16}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, h_{16}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, i_{16}, j_{16}, k_{16}, l_{16}, m_{16}Polygon(F, G, 25) → Vieleck26, j_{17}, t_{17}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}, f_{18}, g_{18}, h_{18}, i_{18}, k_{17}, j_{18}, k_{18}, l_{18}, m_{18}, n_{18}, p_{18}, U_{10}, V_{10}, W_{10}, Z_{10}, l_{17}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, m_{17}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, n_{17}, p_{17}, q_{17}, r_{17}, s_{17}Polygon(F, G, 26) → Vieleck27, q_{18}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}, l_{19}, m_{19}, n_{19}, p_{19}, r_{18}, q_{19}, r_{19}, s_{19}, t_{19}, a_{19}, b_{19}, c_{19}, T_{11}, U_{11}, V_{11}, s_{18}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, t_{18}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, a_{18}, S_{12}, b_{18}, c_{18}, d_{18}, e_{18}Polygon(F, G, 27) → Vieleck28, d_{19}, m_{20}, n_{20}, p_{20}, q_{20}, r_{20}, s_{20}, t_{20}, a_{20}, b_{20}, c_{20}, e_{19}, d_{20}, e_{20}, f_{21}, g_{21}, h_{21}, i_{21}, j_{21}, k_{21}, T_{12}, U_{12}, f_{20}, V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, g_{20}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, h_{20}, R_{13}, S_{13}, T_{13}, i_{20}, j_{20}, k_{20}, l_{20}Polygon(F, G, 28) → Vieleck29, l_{21}, b_{21}, c_{21}, d_{21}, e_{21}, f_{22}, g_{22}, h_{22}, i_{22}, j_{22}, k_{22}, m_{21}, l_{22}, m_{22}, n_{22}, p_{22}, q_{22}, r_{22}, s_{22}, t_{22}, a_{22}, U_{13}, n_{21}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, E_{14}, F_{14}, G_{14}, p_{21}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, P_{14}, Q_{14}, q_{21}, R_{14}, S_{14}, T_{14}, U_{14}, V_{14}, r_{21}, s_{21}, t_{21}, a_{21}Polygon(F, G, 29) → Vieleck30, b_{22}, k_{23}, l_{23}, m_{23}, n_{23}, p_{23}, q_{23}, r_{23}, s_{23}, t_{23}, a_{23}, c_{22}, b_{23}, c_{23}, d_{23}, e_{23}, f_{24}, g_{24}, h_{24}, i_{24}, j_{24}, k_{24}, d_{22}, W_{14}, Z_{14}, A_{15}, B_{15}, C_{15}, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, e_{22}, I_{15}, J_{15}, K_{15}, L_{15}, M_{15}, N_{15}, O_{15}, P_{15}, Q_{15}, R_{15}, f_{23}, S_{15}, T_{15}, U_{15}, V_{15}, W_{15}, Z_{15}, A_{16}, g_{23}, h_{23}, i_{23}, j_{23}Polygon(F, G, 30) → Vieleck31, l_{24}, b_{24}, c_{24}, d_{24}, e_{24}, f_{25}, g_{25}, h_{25}, i_{25}, j_{25}, k_{25}, m_{24}, l_{25}, m_{25}, n_{25}, p_{25}, q_{25}, r_{25}, s_{25}, t_{25}, a_{25}, b_{25}, n_{24}, c_{25}, B_{16}, C_{16}, D_{16}, E_{16}, F_{16}, G_{16}, H_{16}, I_{16}, J_{16}, p_{24}, K_{16}, L_{16}, M_{16}, N_{16}, O_{16}, P_{16}, Q_{16}, R_{16}, S_{16}, T_{16}, q_{24}, U_{16}, V_{16}, W_{16}, Z_{16}, A_{17}, B_{17}, C_{17}, D_{17}, E_{17}, r_{24}, s_{24}, t_{24}, a_{24}Polygon(F, G, 31) → Vieleck32, d_{25}, m_{26}, n_{26}, p_{26}, q_{26}, r_{26}, s_{26}, t_{26}, a_{26}, b_{26}, c_{26}, e_{25}, d_{26}, e_{26}, f_{27}, g_{27}, h_{27}, i_{27}, j_{27}, k_{27}, l_{27}, m_{27}, f_{26}, n_{27}, p_{27}, F_{17}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, M_{17}, g_{26}, N_{17}, O_{17}, P_{17}, Q_{17}, R_{17}, S_{17}, T_{17}, U_{17}, V_{17}, W_{17}, h_{26}, Z_{17}, A_{18}, B_{18}, C_{18}, D_{18}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}, i_{26}, J_{18}, j_{26}, k_{26}, l_{26}Polygon(F, G, 32) → Vieleck33, q_{27}, f_{28}, g_{28}, h_{28}, i_{28}, j_{28}, k_{28}, l_{28}, m_{28}, n_{28}, p_{28}, r_{27}, q_{28}, r_{28}, s_{28}, t_{28}, a_{28}, b_{28}, c_{28}, d_{28}, e_{28}, f_{29}, s_{27}, g_{29}, h_{29}, i_{29}, K_{18}, L_{18}, M_{18}, N_{18}, O_{18}, P_{18}, Q_{18}, t_{27}, R_{18}, S_{18}, T_{18}, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}, C_{19}, a_{27}, D_{19}, E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}, M_{19}, b_{27}, N_{19}, O_{19}, P_{19}, c_{27}, d_{27}, e_{27}Polygon(F, G, 33) → Vieleck34, j_{29}, t_{29}, a_{29}, b_{29}, c_{29}, d_{29}, e_{29}, f_{30}, g_{30}, h_{30}, i_{30}, k_{29}, j_{30}, k_{30}, l_{30}, m_{30}, n_{30}, p_{30}, q_{30}, r_{30}, s_{30}, t_{30}, l_{29}, a_{30}, b_{30}, c_{30}, d_{30}, Q_{19}, R_{19}, S_{19}, T_{19}, U_{19}, V_{19}, m_{29}, W_{19}, Z_{19}, A_{20}, B_{20}, C_{20}, D_{20}, E_{20}, F_{20}, G_{20}, H_{20}, n_{29}, I_{20}, J_{20}, K_{20}, L_{20}, M_{20}, N_{20}, O_{20}, P_{20}, Q_{20}, R_{20}, p_{29}, S_{20}, T_{20}, U_{20}, V_{20}, W_{20}, q_{29}, r_{29}, s_{29}Polygon(F, G, 34) → Vieleck35, e_{30}, n_{31}, p_{31}, q_{31}, r_{31}, s_{31}, t_{31}, a_{31}, b_{31}, c_{31}, d_{31}, f_{31}, e_{31}, f_{32}, g_{32}, h_{32}, i_{32}, j_{32}, k_{32}, l_{32}, m_{32}, n_{32}, g_{31}, p_{32}, q_{32}, r_{32}, s_{32}, t_{32}, Z_{20}, A_{21}, B_{21}, C_{21}, D_{21}, h_{31}, E_{21}, F_{21}, G_{21}, H_{21}, I_{21}, J_{21}, K_{21}, L_{21}, M_{21}, N_{21}, i_{31}, O_{21}, P_{21}, Q_{21}, R_{21}, S_{21}, T_{21}, U_{21}, V_{21}, W_{21}, Z_{21}, j_{31}, A_{22}, B_{22}, C_{22}, D_{22}, E_{22}, F_{22}, G_{22}, k_{31}, l_{31}, m_{31}Polygon(F, G, 35) → Vieleck36, a_{32}, j_{33}, k_{33}, l_{33}, m_{33}, n_{33}, p_{33}, q_{33}, r_{33}, s_{33}, t_{33}, b_{32}, a_{33}, b_{33}, c_{33}, d_{33}, e_{33}, f_{34}, g_{34}, h_{34}, i_{34}, j_{34}, c_{32}, k_{34}, l_{34}, m_{34}, n_{34}, p_{34}, q_{34}, H_{22}, I_{22}, J_{22}, K_{22}, d_{32}, L_{22}, M_{22}, N_{22}, O_{22}, P_{22}, Q_{22}, R_{22}, S_{22}, T_{22}, U_{22}, e_{32}, V_{22}, W_{22}, Z_{22}, A_{23}, B_{23}, C_{23}, D_{23}, E_{23}, F_{23}, G_{23}, f_{33}, H_{23}, I_{23}, J_{23}, K_{23}, L_{23}, M_{23}, N_{23}, O_{23}, P_{23}, g_{33}, h_{33}, i_{33}Polygon(F, G, 36) → Vieleck37, r_{34}, g_{35}, h_{35}, i_{35}, j_{35}, k_{35}, l_{35}, m_{35}, n_{35}, p_{35}, q_{35}, s_{34}, r_{35}, s_{35}, t_{35}, a_{35}, b_{35}, c_{35}, d_{35}, e_{35}, f_{36}, g_{36}, t_{34}, h_{36}, i_{36}, j_{36}, k_{36}, l_{36}, m_{36}, n_{36}, Q_{23}, R_{23}, S_{23}, a_{34}, T_{23}, U_{23}, V_{23}, W_{23}, Z_{23}, A_{24}, B_{24}, C_{24}, D_{24}, E_{24}, b_{34}, F_{24}, G_{24}, H_{24}, I_{24}, J_{24}, K_{24}, L_{24}, M_{24}, N_{24}, O_{24}, c_{34}, P_{24}, Q_{24}, R_{24}, S_{24}, T_{24}, U_{24}, V_{24}, W_{24}, Z_{24}, A_{25}, d_{34}, B_{25}, e_{34}, f_{35}Polygon(F, G, 37) → Vieleck38, p_{36}, e_{36}, f_{37}, g_{37}, h_{37}, i_{37}, j_{37}, k_{37}, l_{37}, m_{37}, n_{37}, q_{36}, p_{37}, q_{37}, r_{37}, s_{37}, t_{37}, a_{37}, b_{37}, c_{37}, d_{37}, e_{37}, r_{36}, f_{38}, g_{38}, h_{38}, i_{38}, j_{38}, k_{38}, l_{38}, m_{38}, C_{25}, D_{25}, s_{36}, E_{25}, F_{25}, G_{25}, H_{25}, I_{25}, J_{25}, K_{25}, L_{25}, M_{25}, N_{25}, t_{36}, O_{25}, P_{25}, Q_{25}, R_{25}, S_{25}, T_{25}, U_{25}, V_{25}, W_{25}, Z_{25}, a_{36}, A_{26}, B_{26}, C_{26}, D_{26}, E_{26}, F_{26}, G_{26}, H_{26}, I_{26}, J_{26}, b_{36}, K_{26}, L_{26}, M_{26}, c_{36}, d_{36}Polygon(F, G, 38) → Vieleck39, n_{38}, d_{38}, e_{38}, f_{39}, g_{39}, h_{39}, i_{39}, j_{39}, k_{39}, l_{39}, m_{39}, p_{38}, n_{39}, p_{39}, q_{39}, r_{39}, s_{39}, t_{39}, a_{39}, b_{39}, c_{39}, d_{39}, q_{38}, e_{39}, f_{40}, g_{40}, h_{40}, i_{40}, j_{40}, k_{40}, l_{40}, m_{40}, N_{26}, r_{38}, O_{26}, P_{26}, Q_{26}, R_{26}, S_{26}, T_{26}, U_{26}, V_{26}, W_{26}, Z_{26}, s_{38}, A_{27}, B_{27}, C_{27}, D_{27}, E_{27}, F_{27}, G_{27}, H_{27}, I_{27}, J_{27}, t_{38}, K_{27}, L_{27}, M_{27}, N_{27}, O_{27}, P_{27}, Q_{27}, R_{27}, S_{27}, T_{27}, a_{38}, U_{27}, V_{27}, W_{27}, Z_{27}, A_{28}, b_{38}, c_{38}Polygon(F, G, 39) → Vieleck40, n_{40}, d_{40}, e_{40}, f_{41}, g_{41}, h_{41}, i_{41}, j_{41}, k_{41}, l_{41}, m_{41}, p_{40}, n_{41}, p_{41}, q_{41}, r_{41}, s_{41}, t_{41}, a_{41}, b_{41}, c_{41}, d_{41}, q_{40}, e_{41}, f_{42}, g_{42}, h_{42}, i_{42}, j_{42}, k_{42}, l_{42}, m_{42}, n_{42}, r_{40}, B_{28}, C_{28}, D_{28}, E_{28}, F_{28}, G_{28}, H_{28}, I_{28}, J_{28}, K_{28}, s_{40}, L_{28}, M_{28}, N_{28}, O_{28}, P_{28}, Q_{28}, R_{28}, S_{28}, T_{28}, U_{28}, t_{40}, V_{28}, W_{28}, Z_{28}, A_{29}, B_{29}, C_{29}, D_{29}, E_{29}, F_{29}, G_{29}, a_{40}, H_{29}, I_{29}, J_{29}, K_{29}, L_{29}, M_{29}, N_{29}, b_{40}, c_{40}Polygon(F, G, 40) → Vieleck41, p_{42}, e_{42}, f_{43}, g_{43}, h_{43}, i_{43}, j_{43}, k_{43}, l_{43}, m_{43}, n_{43}, q_{42}, p_{43}, q_{43}, r_{43}, s_{43}, t_{43}, a_{43}, b_{43}, c_{43}, d_{43}, e_{43}, r_{42}, f_{44}, g_{44}, h_{44}, i_{44}, j_{44}, k_{44}, l_{44}, m_{44}, n_{44}, p_{44}, s_{42}, q_{44}, O_{29}, P_{29}, Q_{29}, R_{29}, S_{29}, T_{29}, U_{29}, V_{29}, W_{29}, t_{42}, Z_{29}, A_{30}, B_{30}, C_{30}, D_{30}, E_{30}, F_{30}, G_{30}, H_{30}, I_{30}, a_{42}, J_{30}, K_{30}, L_{30}, M_{30}, N_{30}, O_{30}, P_{30}, Q_{30}, R_{30}, S_{30}, b_{42}, T_{30}, U_{30}, V_{30}, W_{30}, Z_{30}, A_{31}, B_{31}, C_{31}, D_{31}, c_{42}, d_{42}Polygon(F, G, 41) → Vieleck42, r_{44}, g_{45}, h_{45}, i_{45}, j_{45}, k_{45}, l_{45}, m_{45}, n_{45}, p_{45}, q_{45}, s_{44}, r_{45}, s_{45}, t_{45}, a_{45}, b_{45}, c_{45}, d_{45}, e_{45}, f_{46}, g_{46}, t_{44}, h_{46}, i_{46}, j_{46}, k_{46}, l_{46}, m_{46}, n_{46}, p_{46}, q_{46}, r_{46}, a_{44}, s_{46}, t_{46}, E_{31}, F_{31}, G_{31}, H_{31}, I_{31}, J_{31}, K_{31}, L_{31}, b_{44}, M_{31}, N_{31}, O_{31}, P_{31}, Q_{31}, R_{31}, S_{31}, T_{31}, U_{31}, V_{31}, c_{44}, W_{31}, Z_{31}, A_{32}, B_{32}, C_{32}, D_{32}, E_{32}, F_{32}, G_{32}, H_{32}, d_{44}, I_{32}, J_{32}, K_{32}, L_{32}, M_{32}, N_{32}, O_{32}, P_{32}, Q_{32}, R_{32}, e_{44}, S_{32}, f_{45}Polygon(F, G, 42) → Vieleck43, a_{46}, j_{47}, k_{47}, l_{47}, m_{47}, n_{47}, p_{47}, q_{47}, r_{47}, s_{47}, t_{47}, b_{46}, a_{47}, b_{47}, c_{47}, d_{47}, e_{47}, f_{48}, g_{48}, h_{48}, i_{48}, j_{48}, c_{46}, k_{48}, l_{48}, m_{48}, n_{48}, p_{48}, q_{48}, r_{48}, s_{48}, t_{48}, a_{48}, d_{46}, b_{48}, c_{48}, d_{48}, T_{32}, U_{32}, V_{32}, W_{32}, Z_{32}, A_{33}, B_{33}, e_{46}, C_{33}, D_{33}, E_{33}, F_{33}, G_{33}, H_{33}, I_{33}, J_{33}, K_{33}, L_{33}, f_{47}, M_{33}, N_{33}, O_{33}, P_{33}, Q_{33}, R_{33}, S_{33}, T_{33}, U_{33}, V_{33}, g_{47}, W_{33}, Z_{33}, A_{34}, B_{34}, C_{34}, D_{34}, E_{34}, F_{34}, G_{34}, H_{34}, h_{47}, I_{34}, J_{34}, K_{34}, i_{47}Polygon(F, G, 43) → Vieleck44, e_{48}, n_{49}, p_{49}, q_{49}, r_{49}, s_{49}, t_{49}, a_{49}, b_{49}, c_{49}, d_{49}, f_{49}, e_{49}, f_{50}, g_{50}, h_{50}, i_{50}, j_{50}, k_{50}, l_{50}, m_{50}, n_{50}, g_{49}, p_{50}, q_{50}, r_{50}, s_{50}, t_{50}, a_{50}, b_{50}, c_{50}, d_{50}, e_{50}, h_{49}, f_{51}, g_{51}, h_{51}, i_{51}, L_{34}, M_{34}, N_{34}, O_{34}, P_{34}, Q_{34}, i_{49}, R_{34}, S_{34}, T_{34}, U_{34}, V_{34}, W_{34}, Z_{34}, A_{35}, B_{35}, C_{35}, j_{49}, D_{35}, E_{35}, F_{35}, G_{35}, H_{35}, I_{35}, J_{35}, K_{35}, L_{35}, M_{35}, k_{49}, N_{35}, O_{35}, P_{35}, Q_{35}, R_{35}, S_{35}, T_{35}, U_{35}, V_{35}, W_{35}, l_{49}, Z_{35}, A_{36}, B_{36}, C_{36}, D_{36}, m_{49}Polygon(F, G, 44) → Vieleck45, j_{51}, t_{51}, a_{51}, b_{51}, c_{51}, d_{51}, e_{51}, f_{52}, g_{52}, h_{52}, i_{52}, k_{51}, j_{52}, k_{52}, l_{52}, m_{52}, n_{52}, p_{52}, q_{52}, r_{52}, s_{52}, t_{52}, l_{51}, a_{52}, b_{52}, c_{52}, d_{52}, e_{52}, f_{53}, g_{53}, h_{53}, i_{53}, j_{53}, m_{51}, k_{53}, l_{53}, m_{53}, n_{53}, p_{53}, E_{36}, F_{36}, G_{36}, H_{36}, I_{36}, n_{51}, J_{36}, K_{36}, L_{36}, M_{36}, N_{36}, O_{36}, P_{36}, Q_{36}, R_{36}, S_{36}, p_{51}, T_{36}, U_{36}, V_{36}, W_{36}, Z_{36}, A_{37}, B_{37}, C_{37}, D_{37}, E_{37}, q_{51}, F_{37}, G_{37}, H_{37}, I_{37}, J_{37}, K_{37}, L_{37}, M_{37}, N_{37}, O_{37}, r_{51}, P_{37}, Q_{37}, R_{37}, S_{37}, T_{37}, U_{37}, V_{37}, s_{51}Polygon(F, G, 45) → Vieleck46, q_{53}, f_{54}, g_{54}, h_{54}, i_{54}, j_{54}, k_{54}, l_{54}, m_{54}, n_{54}, p_{54}, r_{53}, q_{54}, r_{54}, s_{54}, t_{54}, a_{54}, b_{54}, c_{54}, d_{54}, e_{54}, f_{55}, s_{53}, g_{55}, h_{55}, i_{55}, j_{55}, k_{55}, l_{55}, m_{55}, n_{55}, p_{55}, q_{55}, t_{53}, r_{55}, s_{55}, t_{55}, a_{55}, b_{55}, c_{55}, W_{37}, Z_{37}, A_{38}, B_{38}, a_{53}, C_{38}, D_{38}, E_{38}, F_{38}, G_{38}, H_{38}, I_{38}, J_{38}, K_{38}, L_{38}, b_{53}, M_{38}, N_{38}, O_{38}, P_{38}, Q_{38}, R_{38}, S_{38}, T_{38}, U_{38}, V_{38}, c_{53}, W_{38}, Z_{38}, A_{39}, B_{39}, C_{39}, D_{39}, E_{39}, F_{39}, G_{39}, H_{39}, d_{53}, I_{39}, J_{39}, K_{39}, L_{39}, M_{39}, N_{39}, O_{39}, P_{39}, Q_{39}, e_{53}Polygon(F, G, 46) → Vieleck47, d_{55}, m_{56}, n_{56}, p_{56}, q_{56}, r_{56}, s_{56}, t_{56}, a_{56}, b_{56}, c_{56}, e_{55}, d_{56}, e_{56}, f_{57}, g_{57}, h_{57}, i_{57}, j_{57}, k_{57}, l_{57}, m_{57}, f_{56}, n_{57}, p_{57}, q_{57}, r_{57}, s_{57}, t_{57}, a_{57}, b_{57}, c_{57}, d_{57}, g_{56}, e_{57}, f_{58}, g_{58}, h_{58}, i_{58}, j_{58}, k_{58}, R_{39}, S_{39}, T_{39}, h_{56}, U_{39}, V_{39}, W_{39}, Z_{39}, A_{40}, B_{40}, C_{40}, D_{40}, E_{40}, F_{40}, i_{56}, G_{40}, H_{40}, I_{40}, J_{40}, K_{40}, L_{40}, M_{40}, N_{40}, O_{40}, P_{40}, j_{56}, Q_{40}, R_{40}, S_{40}, T_{40}, U_{40}, V_{40}, W_{40}, Z_{40}, A_{41}, B_{41}, k_{56}, C_{41}, D_{41}, E_{41}, F_{41}, G_{41}, H_{41}, I_{41}, J_{41}, K_{41}, L_{41}, l_{56}, M_{41}Polygon(F, G, 47) → Vieleck48, l_{58}, b_{58}, c_{58}, d_{58}, e_{58}, f_{59}, g_{59}, h_{59}, i_{59}, j_{59}, k_{59}, m_{58}, l_{59}, m_{59}, n_{59}, p_{59}, q_{59}, r_{59}, s_{59}, t_{59}, a_{59}, b_{59}, n_{58}, c_{59}, d_{59}, e_{59}, f_{60}, g_{60}, h_{60}, i_{60}, j_{60}, k_{60}, l_{60}, p_{58}, m_{60}, n_{60}, p_{60}, q_{60}, r_{60}, s_{60}, t_{60}, a_{60}, N_{41}, O_{41}, q_{58}, P_{41}, Q_{41}, R_{41}, S_{41}, T_{41}, U_{41}, V_{41}, W_{41}, Z_{41}, A_{42}, r_{58}, B_{42}, C_{42}, D_{42}, E_{42}, F_{42}, G_{42}, H_{42}, I_{42}, J_{42}, K_{42}, s_{58}, L_{42}, M_{42}, N_{42}, O_{42}, P_{42}, Q_{42}, R_{42}, S_{42}, T_{42}, U_{42}, t_{58}, V_{42}, W_{42}, Z_{42}, A_{43}, B_{43}, C_{43}, D_{43}, E_{43}, F_{43}, G_{43}, a_{58}, H_{43}, I_{43}, J_{43}Polygon(F, G, 48) → Vieleck49, b_{60}, k_{61}, l_{61}, m_{61}, n_{61}, p_{61}, q_{61}, r_{61}, s_{61}, t_{61}, a_{61}, c_{60}, b_{61}, c_{61}, d_{61}, e_{61}, f_{62}, g_{62}, h_{62}, i_{62}, j_{62}, k_{62}, d_{60}, l_{62}, m_{62}, n_{62}, p_{62}, q_{62}, r_{62}, s_{62}, t_{62}, a_{62}, b_{62}, e_{60}, c_{62}, d_{62}, e_{62}, f_{63}, g_{63}, h_{63}, i_{63}, j_{63}, k_{63}, K_{43}, f_{61}, L_{43}, M_{43}, N_{43}, O_{43}, P_{43}, Q_{43}, R_{43}, S_{43}, T_{43}, U_{43}, g_{61}, V_{43}, W_{43}, Z_{43}, A_{44}, B_{44}, C_{44}, D_{44}, E_{44}, F_{44}, G_{44}, h_{61}, H_{44}, I_{44}, J_{44}, K_{44}, L_{44}, M_{44}, N_{44}, O_{44}, P_{44}, Q_{44}, i_{61}, R_{44}, S_{44}, T_{44}, U_{44}, V_{44}, W_{44}, Z_{44}, A_{45}, B_{45}, C_{45}, j_{61}, D_{45}, E_{45}, F_{45}, G_{45}, H_{45}Polygon(F, G, 49) → Vieleck50, l_{63}, b_{63}, c_{63}, d_{63}, e_{63}, f_{64}, g_{64}, h_{64}, i_{64}, j_{64}, k_{64}, m_{63}, l_{64}, m_{64}, n_{64}, p_{64}, q_{64}, r_{64}, s_{64}, t_{64}, a_{64}, b_{64}, n_{63}, c_{64}, d_{64}, e_{64}, f_{65}, g_{65}, h_{65}, i_{65}, j_{65}, k_{65}, l_{65}, p_{63}, m_{65}, n_{65}, p_{65}, q_{65}, r_{65}, s_{65}, t_{65}, a_{65}, b_{65}, c_{65}, q_{63}, I_{45}, J_{45}, K_{45}, L_{45}, M_{45}, N_{45}, O_{45}, P_{45}, Q_{45}, R_{45}, r_{63}, S_{45}, T_{45}, U_{45}, V_{45}, W_{45}, Z_{45}, A_{46}, B_{46}, C_{46}, D_{46}, s_{63}, E_{46}, F_{46}, G_{46}, H_{46}, I_{46}, J_{46}, K_{46}, L_{46}, M_{46}, N_{46}, t_{63}, O_{46}, P_{46}, Q_{46}, R_{46}, S_{46}, T_{46}, U_{46}, V_{46}, W_{46}, Z_{46}, a_{63}, A_{47}, B_{47}, C_{47}, D_{47}, E_{47}, F_{47}, G_{47}Polygon(F, G, 50) → Vieleck51, d_{65}, m_{66}, n_{66}, p_{66}, q_{66}, r_{66}, s_{66}, t_{66}, a_{66}, b_{66}, c_{66}, e_{65}, d_{66}, e_{66}, f_{67}, g_{67}, h_{67}, i_{67}, j_{67}, k_{67}, l_{67}, m_{67}, f_{66}, n_{67}, p_{67}, q_{67}, r_{67}, s_{67}, t_{67}, a_{67}, b_{67}, c_{67}, d_{67}, g_{66}, e_{67}, f_{68}, g_{68}, h_{68}, i_{68}, j_{68}, k_{68}, l_{68}, m_{68}, n_{68}, h_{66}, p_{68}, H_{47}, I_{47}, J_{47}, K_{47}, L_{47}, M_{47}, N_{47}, O_{47}, P_{47}, i_{66}, Q_{47}, R_{47}, S_{47}, T_{47}, U_{47}, V_{47}, W_{47}, Z_{47}, A_{48}, B_{48}, j_{66}, C_{48}, D_{48}, E_{48}, F_{48}, G_{48}, H_{48}, I_{48}, J_{48}, K_{48}, L_{48}, k_{66}, M_{48}, N_{48}, O_{48}, P_{48}, Q_{48}, R_{48}, S_{48}, T_{48}, U_{48}, V_{48}, l_{66}, W_{48}, Z_{48}, A_{49}, B_{49}, C_{49}, D_{49}, E_{49}, F_{49}, G_{49}Polygon(F, G, 52) → Vieleck52, q_{68}, f_{69}, G_{51}, H_{51}, I_{51}, g_{69}, h_{69}, i_{69}, j_{69}, k_{69}, l_{69}, m_{69}, n_{69}, p_{69}, r_{68}, q_{69}, r_{69}, s_{69}, t_{69}, a_{69}, b_{69}, c_{69}, d_{69}, e_{69}, f_{70}, s_{68}, g_{70}, h_{70}, i_{70}, j_{70}, k_{70}, l_{70}, m_{70}, n_{70}, p_{70}, q_{70}, t_{68}, r_{70}, s_{70}, t_{70}, a_{70}, b_{70}, c_{70}, d_{70}, e_{70}, f_{71}, g_{71}, a_{68}, h_{71}, i_{71}, j_{71}, H_{49}, I_{49}, J_{49}, K_{49}, L_{49}, M_{49}, N_{49}, b_{68}, O_{49}, P_{49}, Q_{49}, R_{49}, S_{49}, T_{49}, U_{49}, V_{49}, W_{49}, Z_{49}, c_{68}, A_{50}, B_{50}, C_{50}, D_{50}, E_{50}, F_{50}, G_{50}, H_{50}, I_{50}, J_{50}, d_{68}, K_{50}, L_{50}, M_{50}, N_{50}, O_{50}, P_{50}, Q_{50}, R_{50}, S_{50}, T_{50}, e_{68}, U_{50}, V_{50}, W_{50}, Z_{50}, A_{51}, B_{51}, C_{51}, D_{51}, E_{51}, F_{51}Polygon(F, G, 51) → Vieleck53, k_{71}, a_{71}, J_{53}, b_{71}, c_{71}, d_{71}, e_{71}, f_{72}, g_{72}, h_{72}, i_{72}, j_{72}, l_{71}, k_{72}, l_{72}, m_{72}, n_{72}, p_{72}, q_{72}, r_{72}, s_{72}, t_{72}, a_{72}, m_{71}, b_{72}, c_{72}, d_{72}, e_{72}, f_{73}, g_{73}, h_{73}, i_{73}, j_{73}, k_{73}, n_{71}, l_{73}, m_{73}, n_{73}, p_{73}, q_{73}, r_{73}, s_{73}, t_{73}, a_{73}, b_{73}, p_{71}, c_{73}, d_{73}, J_{51}, K_{51}, L_{51}, M_{51}, N_{51}, O_{51}, P_{51}, Q_{51}, q_{71}, R_{51}, S_{51}, T_{51}, U_{51}, V_{51}, W_{51}, Z_{51}, A_{52}, B_{52}, C_{52}, r_{71}, D_{52}, E_{52}, F_{52}, G_{52}, H_{52}, I_{52}, J_{52}, K_{52}, L_{52}, M_{52}, s_{71}, N_{52}, O_{52}, P_{52}, Q_{52}, R_{52}, S_{52}, T_{52}, U_{52}, V_{52}, W_{52}, t_{71}, Z_{52}, A_{53}, B_{53}, C_{53}, D_{53}, E_{53}, F_{53}, G_{53}, H_{53}, I_{53}Polygon(F, G, 53) → Vieleck1, e_{73}, n_{74}, I_{55}, J_{55}, K_{55}, L_{55}, M_{55}, p_{74}, q_{74}, r_{74}, s_{74}, t_{74}, a_{74}, b_{74}, c_{74}, d_{74}, f_{74}, e_{74}, f_{75}, g_{75}, h_{75}, i_{75}, j_{75}, k_{75}, l_{75}, m_{75}, n_{75}, g_{74}, p_{75}, q_{75}, r_{75}, s_{75}, t_{75}, a_{75}, b_{75}, c_{75}, d_{75}, e_{75}, h_{74}, f_{76}, g_{76}, h_{76}, i_{76}, j_{76}, k_{76}, l_{76}, m_{76}, n_{76}, p_{76}, i_{74}, q_{76}, r_{76}, s_{76}, t_{76}, K_{53}, L_{53}, M_{53}, N_{53}, O_{53}, P_{53}, j_{74}, Q_{53}, R_{53}, S_{53}, T_{53}, U_{53}, V_{53}, W_{53}, Z_{53}, A_{54}, B_{54}, k_{74}, C_{54}, D_{54}, E_{54}, F_{54}, G_{54}, H_{54}, I_{54}, J_{54}, K_{54}, L_{54}, l_{74}, M_{54}, N_{54}, O_{54}, P_{54}, Q_{54}, R_{54}, S_{54}, T_{54}, U_{54}, V_{54}, m_{74}, W_{54}, Z_{54}, A_{55}, B_{55}, C_{55}, D_{55}, E_{55}, F_{55}, G_{55}, H_{55}Polygon(F, G, 54) → Vieleck54, a_{76}, j_{77}, K_{57}, L_{57}, M_{57}, N_{57}, O_{57}, P_{57}, Q_{57}, k_{77}, l_{77}, m_{77}, n_{77}, p_{77}, q_{77}, r_{77}, s_{77}, t_{77}, b_{76}, a_{77}, b_{77}, c_{77}, d_{77}, e_{77}, f_{78}, g_{78}, h_{78}, i_{78}, j_{78}, c_{76}, k_{78}, l_{78}, m_{78}, n_{78}, p_{78}, q_{78}, r_{78}, s_{78}, t_{78}, a_{78}, d_{76}, b_{78}, c_{78}, d_{78}, e_{78}, f_{79}, g_{79}, h_{79}, i_{79}, j_{79}, k_{79}, e_{76}, l_{79}, m_{79}, n_{79}, p_{79}, q_{79}, N_{55}, O_{55}, P_{55}, Q_{55}, R_{55}, f_{77}, S_{55}, T_{55}, U_{55}, V_{55}, W_{55}, Z_{55}, A_{56}, B_{56}, C_{56}, D_{56}, g_{77}, E_{56}, F_{56}, G_{56}, H_{56}, I_{56}, J_{56}, K_{56}, L_{56}, M_{56}, N_{56}, h_{77}, O_{56}, P_{56}, Q_{56}, R_{56}, S_{56}, T_{56}, U_{56}, V_{56}, W_{56}, Z_{56}, i_{77}, A_{57}, B_{57}, C_{57}, D_{57}, E_{57}, F_{57}, G_{57}, H_{57}, I_{57}, J_{57}Polygon(F, G, 55) → Vieleck55, r_{79}, g_{80}, N_{59}, O_{59}, P_{59}, Q_{59}, R_{59}, S_{59}, T_{59}, U_{59}, V_{59}, h_{80}, i_{80}, j_{80}, k_{80}, l_{80}, m_{80}, n_{80}, p_{80}, q_{80}, s_{79}, r_{80}, s_{80}, t_{80}, a_{80}, b_{80}, c_{80}, d_{80}, e_{80}, f_{81}, g_{81}, t_{79}, h_{81}, i_{81}, j_{81}, k_{81}, l_{81}, m_{81}, n_{81}, p_{81}, q_{81}, r_{81}, a_{79}, s_{81}, t_{81}, a_{81}, b_{81}, c_{81}, d_{81}, e_{81}, f_{82}, g_{82}, h_{82}, b_{79}, i_{82}, j_{82}, k_{82}, l_{82}, m_{82}, n_{82}, R_{57}, S_{57}, T_{57}, U_{57}, c_{79}, V_{57}, W_{57}, Z_{57}, A_{58}, B_{58}, C_{58}, D_{58}, E_{58}, F_{58}, G_{58}, d_{79}, H_{58}, I_{58}, J_{58}, K_{58}, L_{58}, M_{58}, N_{58}, O_{58}, P_{58}, Q_{58}, e_{79}, R_{58}, S_{58}, T_{58}, U_{58}, V_{58}, W_{58}, Z_{58}, A_{59}, B_{59}, C_{59}, f_{80}, D_{59}, E_{59}, F_{59}, G_{59}, H_{59}, I_{59}, J_{59}, K_{59}, L_{59}, M_{59}Polygon(F, G, 56) → Vieleck56, p_{82}, e_{82}, R_{61}, S_{61}, T_{61}, U_{61}, V_{61}, W_{61}, Z_{61}, A_{62}, B_{62}, C_{62}, f_{83}, D_{62}, g_{83}, h_{83}, i_{83}, j_{83}, k_{83}, l_{83}, m_{83}, n_{83}, q_{82}, p_{83}, q_{83}, r_{83}, s_{83}, t_{83}, a_{83}, b_{83}, c_{83}, d_{83}, e_{83}, r_{82}, f_{84}, g_{84}, h_{84}, i_{84}, j_{84}, k_{84}, l_{84}, m_{84}, n_{84}, p_{84}, s_{82}, q_{84}, r_{84}, s_{84}, t_{84}, a_{84}, b_{84}, c_{84}, d_{84}, e_{84}, f_{85}, t_{82}, g_{85}, h_{85}, i_{85}, j_{85}, k_{85}, l_{85}, m_{85}, W_{59}, Z_{59}, A_{60}, a_{82}, B_{60}, C_{60}, D_{60}, E_{60}, F_{60}, G_{60}, H_{60}, I_{60}, J_{60}, K_{60}, b_{82}, L_{60}, M_{60}, N_{60}, O_{60}, P_{60}, Q_{60}, R_{60}, S_{60}, T_{60}, U_{60}, c_{82}, V_{60}, W_{60}, Z_{60}, A_{61}, B_{61}, C_{61}, D_{61}, E_{61}, F_{61}, G_{61}, d_{82}, H_{61}, I_{61}, J_{61}, K_{61}, L_{61}, M_{61}, N_{61}, O_{61}, P_{61}, Q_{61}Polygon(F, G, 57) → Vieleck57, n_{85}, d_{85}, W_{63}, Z_{63}, A_{64}, B_{64}, C_{64}, D_{64}, E_{64}, F_{64}, G_{64}, H_{64}, e_{85}, I_{64}, J_{64}, K_{64}, f_{86}, g_{86}, h_{86}, i_{86}, j_{86}, k_{86}, l_{86}, m_{86}, p_{85}, n_{86}, p_{86}, q_{86}, r_{86}, s_{86}, t_{86}, a_{86}, b_{86}, c_{86}, d_{86}, q_{85}, e_{86}, f_{87}, g_{87}, h_{87}, i_{87}, j_{87}, k_{87}, l_{87}, m_{87}, n_{87}, r_{85}, p_{87}, q_{87}, r_{87}, s_{87}, t_{87}, a_{87}, b_{87}, c_{87}, d_{87}, e_{87}, s_{85}, f_{88}, g_{88}, h_{88}, i_{88}, j_{88}, k_{88}, l_{88}, m_{88}, E_{62}, F_{62}, t_{85}, G_{62}, H_{62}, I_{62}, J_{62}, K_{62}, L_{62}, M_{62}, N_{62}, O_{62}, P_{62}, a_{85}, Q_{62}, R_{62}, S_{62}, T_{62}, U_{62}, V_{62}, W_{62}, Z_{62}, A_{63}, B_{63}, b_{85}, C_{63}, D_{63}, E_{63}, F_{63}, G_{63}, H_{63}, I_{63}, J_{63}, K_{63}, L_{63}, c_{85}, M_{63}, N_{63}, O_{63}, P_{63}, Q_{63}, R_{63}, S_{63}, T_{63}, U_{63}, V_{63}Polygon(F, G, 58) → Vieleck58, n_{88}, d_{88}, E_{66}, F_{66}, G_{66}, H_{66}, I_{66}, J_{66}, K_{66}, L_{66}, M_{66}, N_{66}, e_{88}, O_{66}, P_{66}, Q_{66}, R_{66}, S_{66}, f_{89}, g_{89}, h_{89}, i_{89}, j_{89}, k_{89}, l_{89}, m_{89}, p_{88}, n_{89}, p_{89}, q_{89}, r_{89}, s_{89}, t_{89}, a_{89}, b_{89}, c_{89}, d_{89}, q_{88}, e_{89}, f_{90}, g_{90}, h_{90}, i_{90}, j_{90}, k_{90}, l_{90}, m_{90}, n_{90}, r_{88}, p_{90}, q_{90}, r_{90}, s_{90}, t_{90}, a_{90}, b_{90}, c_{90}, d_{90}, e_{90}, s_{88}, f_{91}, g_{91}, h_{91}, i_{91}, j_{91}, k_{91}, l_{91}, m_{91}, n_{91}, L_{64}, t_{88}, M_{64}, N_{64}, O_{64}, P_{64}, Q_{64}, R_{64}, S_{64}, T_{64}, U_{64}, V_{64}, a_{88}, W_{64}, Z_{64}, A_{65}, B_{65}, C_{65}, D_{65}, E_{65}, F_{65}, G_{65}, H_{65}, b_{88}, I_{65}, J_{65}, K_{65}, L_{65}, M_{65}, N_{65}, O_{65}, P_{65}, Q_{65}, R_{65}, c_{88}, S_{65}, T_{65}, U_{65}, V_{65}, W_{65}, Z_{65}, A_{66}, B_{66}, C_{66}, D_{66}Polygon(F, G, 59) → Vieleck59, p_{91}, e_{91}, L_{68}, M_{68}, N_{68}, O_{68}, P_{68}, Q_{68}, R_{68}, S_{68}, T_{68}, U_{68}, f_{92}, V_{68}, W_{68}, Z_{68}, A_{69}, B_{69}, C_{69}, D_{69}, g_{92}, h_{92}, i_{92}, j_{92}, k_{92}, l_{92}, m_{92}, n_{92}, q_{91}, p_{92}, q_{92}, r_{92}, s_{92}, t_{92}, a_{92}, b_{92}, c_{92}, d_{92}, e_{92}, r_{91}, f_{93}, g_{93}, h_{93}, i_{93}, j_{93}, k_{93}, l_{93}, m_{93}, n_{93}, p_{93}, s_{91}, q_{93}, r_{93}, s_{93}, t_{93}, a_{93}, b_{93}, c_{93}, d_{93}, e_{93}, f_{94}, t_{91}, g_{94}, h_{94}, i_{94}, j_{94}, k_{94}, l_{94}, m_{94}, n_{94}, p_{94}, q_{94}, a_{91}, T_{66}, U_{66}, V_{66}, W_{66}, Z_{66}, A_{67}, B_{67}, C_{67}, D_{67}, E_{67}, b_{91}, F_{67}, G_{67}, H_{67}, I_{67}, J_{67}, K_{67}, L_{67}, M_{67}, N_{67}, O_{67}, c_{91}, P_{67}, Q_{67}, R_{67}, S_{67}, T_{67}, U_{67}, V_{67}, W_{67}, Z_{67}, A_{68}, d_{91}, B_{68}, C_{68}, D_{68}, E_{68}, F_{68}, G_{68}, H_{68}, I_{68}, J_{68}, K_{68}Polygon(F, G, 60) → Vieleck60, r_{94}, g_{95}, T_{70}, U_{70}, V_{70}, W_{70}, Z_{70}, A_{71}, B_{71}, C_{71}, D_{71}, E_{71}, h_{95}, F_{71}, G_{71}, H_{71}, I_{71}, J_{71}, K_{71}, L_{71}, M_{71}, N_{71}, i_{95}, j_{95}, k_{95}, l_{95}, m_{95}, n_{95}, p_{95}, q_{95}, s_{94}, r_{95}, s_{95}, t_{95}, a_{95}, b_{95}, c_{95}, d_{95}, e_{95}, f_{96}, g_{96}, t_{94}, h_{96}, i_{96}, j_{96}, k_{96}, l_{96}, m_{96}, n_{96}, p_{96}, q_{96}, r_{96}, a_{94}, s_{96}, t_{96}, a_{96}, b_{96}, c_{96}, d_{96}, e_{96}, f_{97}, g_{97}, h_{97}, b_{94}, i_{97}, j_{97}, k_{97}, l_{97}, m_{97}, n_{97}, p_{97}, q_{97}, r_{97}, s_{97}, c_{94}, t_{97}, E_{69}, F_{69}, G_{69}, H_{69}, I_{69}, J_{69}, K_{69}, L_{69}, M_{69}, d_{94}, N_{69}, O_{69}, P_{69}, Q_{69}, R_{69}, S_{69}, T_{69}, U_{69}, V_{69}, W_{69}, e_{94}, Z_{69}, A_{70}, B_{70}, C_{70}, D_{70}, E_{70}, F_{70}, G_{70}, H_{70}, I_{70}, f_{95}, J_{70}, K_{70}, L_{70}, M_{70}, N_{70}, O_{70}, P_{70}, Q_{70}, R_{70}, S_{70}Polygon(F, G, 61) → Vieleck61, a_{97}, j_{98}, E_{73}, F_{73}, G_{73}, H_{73}, I_{73}, J_{73}, K_{73}, L_{73}, M_{73}, N_{73}, k_{98}, O_{73}, P_{73}, Q_{73}, R_{73}, S_{73}, T_{73}, U_{73}, V_{73}, W_{73}, Z_{73}, l_{98}, A_{74}, m_{98}, n_{98}, p_{98}, q_{98}, r_{98}, s_{98}, t_{98}, b_{97}, a_{98}, b_{98}, c_{98}, d_{98}, e_{98}, f_{99}, g_{99}, h_{99}, i_{99}, j_{99}, c_{97}, k_{99}, l_{99}, m_{99}, n_{99}, p_{99}, q_{99}, r_{99}, s_{99}, t_{99}, a_{99}, d_{97}, b_{99}, c_{99}, d_{99}, e_{99}, f_{100}, g_{100}, h_{100}, i_{100}, j_{100}, k_{100}, e_{97}, l_{100}, m_{100}, n_{100}, p_{100}, q_{100}, r_{100}, s_{100}, t_{100}, a_{100}, b_{100}, f_{98}, c_{100}, d_{100}, O_{71}, P_{71}, Q_{71}, R_{71}, S_{71}, T_{71}, U_{71}, V_{71}, g_{98}, W_{71}, Z_{71}, A_{72}, B_{72}, C_{72}, D_{72}, E_{72}, F_{72}, G_{72}, H_{72}, h_{98}, I_{72}, J_{72}, K_{72}, L_{72}, M_{72}, N_{72}, O_{72}, P_{72}, Q_{72}, R_{72}, i_{98}, S_{72}, T_{72}, U_{72}, V_{72}, W_{72}, Z_{72}, A_{73}, B_{73}, C_{73}, D_{73}Polygon(F, G, 62) → Vieleck62, e_{100}, n_{101}, O_{75}, P_{75}, Q_{75}, R_{75}, S_{75}, T_{75}, U_{75}, V_{75}, W_{75}, Z_{75}, p_{101}, A_{76}, B_{76}, C_{76}, D_{76}, E_{76}, F_{76}, G_{76}, H_{76}, I_{76}, J_{76}, q_{101}, K_{76}, L_{76}, M_{76}, r_{101}, s_{101}, t_{101}, a_{101}, b_{101}, c_{101}, d_{101}, f_{101}, e_{101}, f_{102}, g_{102}, h_{102}, i_{102}, j_{102}, k_{102}, l_{102}, m_{102}, n_{102}, g_{101}, p_{102}, q_{102}, r_{102}, s_{102}, t_{102}, a_{102}, b_{102}, c_{102}, d_{102}, e_{102}, h_{101}, f_{103}, g_{103}, h_{103}, i_{103}, j_{103}, k_{103}, l_{103}, m_{103}, n_{103}, p_{103}, i_{101}, q_{103}, r_{103}, s_{103}, t_{103}, a_{103}, b_{103}, c_{103}, d_{103}, e_{103}, f_{104}, j_{101}, g_{104}, h_{104}, i_{104}, B_{74}, C_{74}, D_{74}, E_{74}, F_{74}, G_{74}, H_{74}, k_{101}, I_{74}, J_{74}, K_{74}, L_{74}, M_{74}, N_{74}, O_{74}, P_{74}, Q_{74}, R_{74}, l_{101}, S_{74}, T_{74}, U_{74}, V_{74}, W_{74}, Z_{74}, A_{75}, B_{75}, C_{75}, D_{75}, m_{101}, E_{75}, F_{75}, G_{75}, H_{75}, I_{75}, J_{75}, K_{75}, L_{75}, M_{75}, N_{75}Polygon(F, G, 63) → Vieleck63, r_1, q_{104}, B_{78}, C_{78}, D_{78}, E_{78}, F_{78}, G_{78}, H_{78}, I_{78}, J_{78}, K_{78}, r_{104}, L_{78}, M_{78}, N_{78}, O_{78}, P_{78}, Q_{78}, R_{78}, S_{78}, T_{78}, U_{78}, s_{104}, V_{78}, W_{78}, Z_{78}, A_{79}, B_{79}, t_{104}, a_{104}, b_{104}, c_{104}, d_{104}, e_{104}, f_{105}, s_1, g_{105}, h_{105}, i_{105}, j_{105}, k_{105}, l_{105}, m_{105}, n_{105}, p_{105}, q_{105}, t_1, r_{105}, s_{105}, t_{105}, a_{105}, b_{105}, c_{105}, d_{105}, e_{105}, f_{106}, g_{106}, j_{104}, h_{106}, i_{106}, j_{106}, k_{106}, l_{106}, m_{106}, n_{106}, p_{106}, q_{106}, r_{106}, k_{104}, s_{106}, t_{106}, a_{106}, b_{106}, c_{106}, d_{106}, e_{106}, f_{107}, g_{107}, h_{107}, l_{104}, i_{107}, j_{107}, k_{107}, l_{107}, N_{76}, O_{76}, P_{76}, Q_{76}, R_{76}, S_{76}, m_{104}, T_{76}, U_{76}, V_{76}, W_{76}, Z_{76}, A_{77}, B_{77}, C_{77}, D_{77}, E_{77}, n_{104}, F_{77}, G_{77}, H_{77}, I_{77}, J_{77}, K_{77}, L_{77}, M_{77}, N_{77}, O_{77}, p_{104}, P_{77}, Q_{77}, R_{77}, S_{77}, T_{77}, U_{77}, V_{77}, W_{77}, Z_{77}, A_{78}Polygon(F, G, 64) → Vieleck64, m_{107}, c_{107}, N_{80}, O_{80}, P_{80}, Q_{80}, R_{80}, S_{80}, T_{80}, U_{80}, V_{80}, W_{80}, d_{107}, Z_{80}, A_{81}, B_{81}, C_{81}, D_{81}, E_{81}, F_{81}, G_{81}, H_{81}, I_{81}, e_{107}, J_{81}, K_{81}, L_{81}, M_{81}, N_{81}, O_{81}, P_{81}, f_{108}, g_{108}, h_{108}, i_{108}, j_{108}, k_{108}, l_{108}, n_{107}, m_{108}, n_{108}, p_{108}, q_{108}, r_{108}, s_{108}, t_{108}, a_{108}, b_{108}, c_{108}, p_{107}, d_{108}, e_{108}, f_{109}, g_{109}, h_{109}, i_{109}, j_{109}, k_{109}, l_{109}, m_{109}, q_{107}, n_{109}, p_{109}, q_{109}, r_{109}, s_{109}, t_{109}, a_{109}, b_{109}, c_{109}, d_{109}, r_{107}, e_{109}, f_{110}, g_{110}, h_{110}, i_{110}, j_{110}, k_{110}, l_{110}, m_{110}, n_{110}, s_{107}, p_{110}, q_{110}, r_{110}, s_{110}, t_{110}, C_{79}, D_{79}, E_{79}, F_{79}, G_{79}, t_{107}, H_{79}, I_{79}, J_{79}, K_{79}, L_{79}, M_{79}, N_{79}, O_{79}, P_{79}, Q_{79}, a_{107}, R_{79}, S_{79}, T_{79}, U_{79}, V_{79}, W_{79}, Z_{79}, A_{80}, B_{80}, C_{80}, b_{107}, D_{80}, E_{80}, F_{80}, G_{80}, H_{80}, I_{80}, J_{80}, K_{80}, L_{80}, M_{80}Polygon(F, G, 65) → Vieleck65, a_{110}, j_{111}, C_{83}, D_{83}, E_{83}, F_{83}, G_{83}, H_{83}, I_{83}, J_{83}, K_{83}, L_{83}, k_{111}, M_{83}, N_{83}, O_{83}, P_{83}, Q_{83}, R_{83}, S_{83}, T_{83}, U_{83}, V_{83}, l_{111}, W_{83}, Z_{83}, A_{84}, B_{84}, C_{84}, D_{84}, E_{84}, F_{84}, G_{84}, m_{111}, n_{111}, p_{111}, q_{111}, r_{111}, s_{111}, t_{111}, b_{110}, a_{111}, b_{111}, c_{111}, d_{111}, e_{111}, f_{112}, g_{112}, h_{112}, i_{112}, j_{112}, c_{110}, k_{112}, l_{112}, m_{112}, n_{112}, p_{112}, q_{112}, r_{112}, s_{112}, t_{112}, a_{112}, d_{110}, b_{112}, c_{112}, d_{112}, e_{112}, f_{113}, g_{113}, h_{113}, i_{113}, j_{113}, k_{113}, e_{110}, l_{113}, m_{113}, n_{113}, p_{113}, q_{113}, r_{113}, s_{113}, t_{113}, a_{113}, b_{113}, f_{111}, c_{113}, d_{113}, e_{113}, f_{114}, g_{114}, h_{114}, Q_{81}, R_{81}, S_{81}, T_{81}, g_{111}, U_{81}, V_{81}, W_{81}, Z_{81}, A_{82}, B_{82}, C_{82}, D_{82}, E_{82}, F_{82}, h_{111}, G_{82}, H_{82}, I_{82}, J_{82}, K_{82}, L_{82}, M_{82}, N_{82}, O_{82}, P_{82}, i_{111}, Q_{82}, R_{82}, S_{82}, T_{82}, U_{82}, V_{82}, W_{82}, Z_{82}, A_{83}, B_{83}Polygon(F, G, 66) → Vieleck66, i_{114}, s_{114}, Q_{85}, R_{85}, S_{85}, T_{85}, U_{85}, V_{85}, W_{85}, Z_{85}, A_{86}, B_{86}, t_{114}, C_{86}, D_{86}, E_{86}, F_{86}, G_{86}, H_{86}, I_{86}, J_{86}, K_{86}, L_{86}, a_{114}, M_{86}, N_{86}, O_{86}, P_{86}, Q_{86}, R_{86}, S_{86}, T_{86}, U_{86}, V_{86}, b_{114}, W_{86}, c_{114}, d_{114}, e_{114}, f_{115}, g_{115}, h_{115}, j_{114}, i_{115}, j_{115}, k_{115}, l_{115}, m_{115}, n_{115}, p_{115}, q_{115}, r_{115}, s_{115}, k_{114}, t_{115}, a_{115}, b_{115}, c_{115}, d_{115}, e_{115}, f_{116}, g_{116}, h_{116}, i_{116}, l_{114}, j_{116}, k_{116}, l_{116}, m_{116}, n_{116}, p_{116}, q_{116}, r_{116}, s_{116}, t_{116}, m_{114}, a_{116}, b_{116}, c_{116}, d_{116}, e_{116}, f_{117}, g_{117}, h_{117}, i_{117}, j_{117}, n_{114}, k_{117}, l_{117}, m_{117}, n_{117}, p_{117}, q_{117}, r_{117}, H_{84}, I_{84}, J_{84}, p_{114}, K_{84}, L_{84}, M_{84}, N_{84}, O_{84}, P_{84}, Q_{84}, R_{84}, S_{84}, T_{84}, q_{114}, U_{84}, V_{84}, W_{84}, Z_{84}, A_{85}, B_{85}, C_{85}, D_{85}, E_{85}, F_{85}, r_{114}, G_{85}, H_{85}, I_{85}, J_{85}, K_{85}, L_{85}, M_{85}, N_{85}, O_{85}, P_{85}Polygon(F, G, 67) → Vieleck67, s_{117}, h_{118}, H_{88}, I_{88}, J_{88}, K_{88}, L_{88}, M_{88}, N_{88}, O_{88}, P_{88}, Q_{88}, i_{118}, R_{88}, S_{88}, T_{88}, U_{88}, V_{88}, W_{88}, Z_{88}, A_{89}, B_{89}, C_{89}, j_{118}, D_{89}, E_{89}, F_{89}, G_{89}, H_{89}, I_{89}, J_{89}, K_{89}, L_{89}, M_{89}, k_{118}, N_{89}, O_{89}, P_{89}, l_{118}, m_{118}, n_{118}, p_{118}, q_{118}, r_{118}, t_{117}, s_{118}, t_{118}, a_{118}, b_{118}, c_{118}, d_{118}, e_{118}, f_{119}, g_{119}, h_{119}, a_{117}, i_{119}, j_{119}, k_{119}, l_{119}, m_{119}, n_{119}, p_{119}, q_{119}, r_{119}, s_{119}, b_{117}, t_{119}, a_{119}, b_{119}, c_{119}, d_{119}, e_{119}, f_{120}, g_{120}, h_{120}, i_{120}, c_{117}, j_{120}, k_{120}, l_{120}, m_{120}, n_{120}, p_{120}, q_{120}, r_{120}, s_{120}, t_{120}, d_{117}, a_{120}, b_{120}, c_{120}, d_{120}, e_{120}, f_{121}, g_{121}, h_{121}, Z_{86}, A_{87}, e_{117}, B_{87}, C_{87}, D_{87}, E_{87}, F_{87}, G_{87}, H_{87}, I_{87}, J_{87}, K_{87}, f_{118}, L_{87}, M_{87}, N_{87}, O_{87}, P_{87}, Q_{87}, R_{87}, S_{87}, T_{87}, U_{87}, g_{118}, V_{87}, W_{87}, Z_{87}, A_{88}, B_{88}, C_{88}, D_{88}, E_{88}, F_{88}, G_{88}Polygon(F, G, 68) → Vieleck68, i_{121}, s_{121}, Z_{90}, A_{91}, B_{91}, C_{91}, D_{91}, E_{91}, F_{91}, G_{91}, H_{91}, I_{91}, t_{121}, J_{91}, K_{91}, L_{91}, M_{91}, N_{91}, O_{91}, P_{91}, Q_{91}, R_{91}, S_{91}, a_{121}, T_{91}, U_{91}, V_{91}, W_{91}, Z_{91}, A_{92}, B_{92}, C_{92}, D_{92}, E_{92}, b_{121}, F_{92}, G_{92}, H_{92}, I_{92}, J_{92}, c_{121}, d_{121}, e_{121}, f_{122}, g_{122}, h_{122}, j_{121}, i_{122}, j_{122}, k_{122}, l_{122}, m_{122}, n_{122}, p_{122}, q_{122}, r_{122}, s_{122}, k_{121}, t_{122}, a_{122}, b_{122}, c_{122}, d_{122}, e_{122}, f_{123}, g_{123}, h_{123}, i_{123}, l_{121}, j_{123}, k_{123}, l_{123}, m_{123}, n_{123}, p_{123}, q_{123}, r_{123}, s_{123}, t_{123}, m_{121}, a_{123}, b_{123}, c_{123}, d_{123}, e_{123}, f_{124}, g_{124}, h_{124}, i_{124}, j_{124}, n_{121}, k_{124}, l_{124}, m_{124}, n_{124}, p_{124}, q_{124}, r_{124}, s_{124}, t_{124}, Q_{89}, p_{121}, R_{89}, S_{89}, T_{89}, U_{89}, V_{89}, W_{89}, Z_{89}, A_{90}, B_{90}, C_{90}, q_{121}, D_{90}, E_{90}, F_{90}, G_{90}, H_{90}, I_{90}, J_{90}, K_{90}, L_{90}, M_{90}, r_{121}, N_{90}, O_{90}, P_{90}, Q_{90}, R_{90}, S_{90}, T_{90}, U_{90}, V_{90}, W_{90}Polygon(F, G, 69) → Vieleck69, a_{124}, j_{125}, Q_{93}, R_{93}, S_{93}, T_{93}, U_{93}, V_{93}, W_{93}, Z_{93}, A_{94}, B_{94}, k_{125}, C_{94}, D_{94}, E_{94}, F_{94}, G_{94}, H_{94}, I_{94}, J_{94}, K_{94}, L_{94}, l_{125}, M_{94}, N_{94}, O_{94}, P_{94}, Q_{94}, R_{94}, S_{94}, T_{94}, U_{94}, V_{94}, m_{125}, W_{94}, Z_{94}, A_{95}, B_{95}, C_{95}, D_{95}, E_{95}, n_{125}, p_{125}, q_{125}, r_{125}, s_{125}, t_{125}, b_{124}, a_{125}, b_{125}, c_{125}, d_{125}, e_{125}, f_{126}, g_{126}, h_{126}, i_{126}, j_{126}, c_{124}, k_{126}, l_{126}, m_{126}, n_{126}, p_{126}, q_{126}, r_{126}, s_{126}, t_{126}, a_{126}, d_{124}, b_{126}, c_{126}, d_{126}, e_{126}, f_{127}, g_{127}, h_{127}, i_{127}, j_{127}, k_{127}, e_{124}, l_{127}, m_{127}, n_{127}, p_{127}, q_{127}, r_{127}, s_{127}, t_{127}, a_{127}, b_{127}, f_{125}, c_{127}, d_{127}, e_{127}, f_{128}, g_{128}, h_{128}, i_{128}, j_{128}, k_{128}, l_{128}, g_{125}, K_{92}, L_{92}, M_{92}, N_{92}, O_{92}, P_{92}, Q_{92}, R_{92}, S_{92}, T_{92}, h_{125}, U_{92}, V_{92}, W_{92}, Z_{92}, A_{93}, B_{93}, C_{93}, D_{93}, E_{93}, F_{93}, i_{125}, G_{93}, H_{93}, I_{93}, J_{93}, K_{93}, L_{93}, M_{93}, N_{93}, O_{93}, P_{93}Polygon(F, G, 70) → Vieleck70, m_{128}, c_{128}, K_{96}, L_{96}, M_{96}, N_{96}, O_{96}, P_{96}, Q_{96}, R_{96}, S_{96}, T_{96}, d_{128}, U_{96}, V_{96}, W_{96}, Z_{96}, A_{97}, B_{97}, C_{97}, D_{97}, E_{97}, F_{97}, e_{128}, G_{97}, H_{97}, I_{97}, J_{97}, K_{97}, L_{97}, M_{97}, N_{97}, O_{97}, P_{97}, f_{129}, Q_{97}, R_{97}, S_{97}, T_{97}, U_{97}, V_{97}, W_{97}, Z_{97}, A_{98}, g_{129}, h_{129}, i_{129}, j_{129}, k_{129}, l_{129}, n_{128}, m_{129}, n_{129}, p_{129}, q_{129}, r_{129}, s_{129}, t_{129}, a_{129}, b_{129}, c_{129}, p_{128}, d_{129}, e_{129}, f_{130}, g_{130}, h_{130}, i_{130}, j_{130}, k_{130}, l_{130}, m_{130}, q_{128}, n_{130}, p_{130}, q_{130}, r_{130}, s_{130}, t_{130}, a_{130}, b_{130}, c_{130}, d_{130}, r_{128}, e_{130}, f_{131}, g_{131}, h_{131}, i_{131}, j_{131}, k_{131}, l_{131}, m_{131}, n_{131}, s_{128}, p_{131}, q_{131}, r_{131}, s_{131}, t_{131}, a_{131}, b_{131}, c_{131}, d_{131}, e_{131}, t_{128}, f_{132}, F_{95}, G_{95}, H_{95}, I_{95}, J_{95}, K_{95}, L_{95}, M_{95}, N_{95}, a_{128}, O_{95}, P_{95}, Q_{95}, R_{95}, S_{95}, T_{95}, U_{95}, V_{95}, W_{95}, Z_{95}, b_{128}, A_{96}, B_{96}, C_{96}, D_{96}, E_{96}, F_{96}, G_{96}, H_{96}, I_{96}, J_{96}
AI Drawing Prompt Reference
Draw a square and draw concentric circles around its center with radii from 1 to 9 units. Starting with two opposite vertices of the square as vertices, draw multiple triangles with increasing number of sides from 2 to 28. Each triangle is surrounded by nested hexagons with increasing number of sides from 2 to 28. The final image is a complex shape composed of the square, concentric circles, and nested triangles and hexagons.
The prompt above was compiled from the original drawing commands and is for reference only.