Penrose Darts and Kites Dynamic Inflation

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2018-04-09 03:36

This example demonstrates the dynamic inflation of Penrose darts and kites. Key mathematical concepts include geometric transformations and dynamic graphics. Using commands like kitegr1, kitegr3, kitegr4, dartgr1, and dartgr2 in GeoGebra, dynamic changes in the shapes are constructed. Suitable for teaching and learning geometric constructions and dynamic graphics.

GeoGebra Commands & Parameters

kitegr1(A, B) → poly1, a, F, G, H, I, b, c, d, e, f, C, D, E
kitegr1(A, G) → poly2, g, M, N, O, P, h, i, j, k, p, J, K, L
kitegr1(A, N) → poly3, l, T, U, V, W, m, n, q, r, s, Q, R, S
kitegr1(A, U) → poly4, t, C_1, D_1, E_1, F_1, a_1, b_1, c_1, d_1, e_1, Z, A_1, B_1
kitegr1(A, D_1) → poly5, f_1, J_1, K_1, L_1, M_1, g_1, h_1, i_1, k_1, p_1, G_1, H_1, I_1
kitegr3(I, E) → poly6, j_1, Q_1, R_1, S_1, T_1, l_1, m_1, n_1, q_1, r_1, N_1, O_1, P_1
kitegr3(P, L) → poly7, s_1, Z_1, A_2, B_2, C_2, t_1, a_2, b_2, c_2, d_2, U_1, V_1, W_1
kitegr3(W, S) → poly8, e_2, G_2, H_2, I_2, J_2, f_2, g_2, h_2, k_2, p_2, D_2, E_2, F_2
kitegr3(F_1, B_1) → poly9, i_2, N_2, O_2, P_2, Q_2, j_2, l_2, m_2, q_2, r_2, K_2, L_2, M_2
kitegr3(M_1, I_1) → poly10, n_2, U_2, V_2, W_2, Z_2, s_2, t_2, a_3, c_3, d_3, R_2, S_2, T_2
kitegr4(E, I) → poly11, b_3, D_3, E_3, F_3, G_3, e_3, f_3, g_3, h_3, k_3, A_3, B_3, C_3
kitegr4(L, P) → poly12, i_3, K_3, L_3, M_3, N_3, j_3, l_3, m_3, p_3, q_3, H_3, I_3, J_3
kitegr4(S, W) → poly13, n_3, R_3, S_3, T_3, U_3, r_3, s_3, t_3, c_4, d_4, O_3, P_3, Q_3
kitegr4(B_1, F_1) → poly14, a_4, A_4, B_4, C_4, D_4, b_4, e_4, f_4, g_4, h_4, V_3, W_3, Z_3
kitegr4(I_1, M_1) → poly15, i_4, H_4, I_4, J_4, K_4, j_4, k_4, l_4, p_4, q_4, E_4, F_4, G_4
dartgr1(A, I) → poly16, m_4, O_4, P_4, Q_4, R_4, n_4, r_4, s_4, t_4, c_5, L_4, M_4, N_4
dartgr1(A, W) → poly17, a_5, V_4, W_4, Z_4, A_5, b_5, d_5, e_5, f_5, g_5, S_4, T_4, U_4
dartgr1(A, P) → poly18, h_5, E_5, F_5, G_5, H_5, i_5, j_5, k_5, p_5, q_5, B_5, C_5, D_5
dartgr1(A, F_1) → poly19, l_5, L_5, M_5, N_5, O_5, m_5, n_5, r_5, s_5, t_5, I_5, J_5, K_5
dartgr1(A, M_1) → poly20, a_6, S_5, T_5, U_5, V_5, b_6, c_6, d_6, e_6, f_6, P_5, Q_5, R_5
kitegr3(T_1, I) → poly21, g_6, B_6, C_6, D_6, E_6, h_6, i_6, j_6, k_6, p_6, W_5, Z_5, A_6
kitegr3(G_3, I) → poly22, l_6, I_6, J_6, K_6, L_6, m_6, n_6, q_6, r_6, s_6, F_6, G_6, H_6
kitegr3(Z_2, M_1) → poly23, t_6, P_6, Q_6, R_6, S_6, a_7, b_7, c_7, d_7, e_7, M_6, N_6, O_6
kitegr3(K_4, M_1) → poly24, f_7, W_6, Z_6, A_7, B_7, g_7, h_7, i_7, k_7, p_7, T_6, U_6, V_6
kitegr3(Q_2, F_1) → poly25, j_7, F_7, G_7, H_7, I_7, l_7, m_7, n_7, q_7, r_7, C_7, D_7, E_7
kitegr3(D_4, F_1) → poly26, s_7, M_7, N_7, O_7, P_7, t_7, a_8, b_8, c_8, d_8, J_7, K_7, L_7
kitegr3(J_2, W) → poly27, e_8, T_7, U_7, V_7, W_7, f_8, g_8, h_8, k_8, p_8, Q_7, R_7, S_7
kitegr3(U_3, W) → poly28, i_8, C_8, D_8, E_8, F_8, j_8, l_8, m_8, q_8, r_8, Z_7, A_8, B_8
kitegr3(C_2, P) → poly29, n_8, J_8, K_8, L_8, M_8, s_8, t_8, a_9, c_9, d_9, G_8, H_8, I_8
kitegr3(N_3, P) → poly30, b_9, Q_8, R_8, S_8, T_8, e_9, f_9, g_9, h_9, k_9, N_8, O_8, P_8
kitegr4(I, T_1) → poly31, i_9, Z_8, A_9, B_9, C_9, j_9, l_9, m_9, p_9, q_9, U_8, V_8, W_8
kitegr4(I, G_3) → poly32, n_9, G_9, H_9, I_9, J_9, r_9, s_9, t_9, c_{10}, d_{10}, D_9, E_9, F_9
kitegr4(M_1, Z_2) → poly33, a_{10}, N_9, O_9, P_9, Q_9, b_{10}, e_{10}, f_{10}, g_{10}, h_{10}, K_9, L_9, M_9
kitegr4(M_1, K_4) → poly34, i_{10}, U_9, V_9, W_9, Z_9, j_{10}, k_{10}, l_{10}, p_{10}, q_{10}, R_9, S_9, T_9
kitegr4(F_1, Q_2) → poly35, m_{10}, D_{10}, E_{10}, F_{10}, G_{10}, n_{10}, r_{10}, s_{10}, t_{10}, c_{11}, A_{10}, B_{10}, C_{10}
kitegr4(F_1, D_4) → poly36, a_{11}, K_{10}, L_{10}, M_{10}, N_{10}, b_{11}, d_{11}, e_{11}, f_{11}, g_{11}, H_{10}, I_{10}, J_{10}
kitegr4(W, J_2) → poly37, h_{11}, R_{10}, S_{10}, T_{10}, U_{10}, i_{11}, j_{11}, k_{11}, p_{11}, q_{11}, O_{10}, P_{10}, Q_{10}
kitegr4(W, U_3) → poly38, l_{11}, A_{11}, B_{11}, C_{11}, D_{11}, m_{11}, n_{11}, r_{11}, s_{11}, t_{11}, V_{10}, W_{10}, Z_{10}
kitegr4(P, C_2) → poly39, a_{12}, H_{11}, I_{11}, J_{11}, K_{11}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, E_{11}, F_{11}, G_{11}
kitegr4(P, N_3) → poly40, g_{12}, O_{11}, P_{11}, Q_{11}, R_{11}, h_{12}, i_{12}, j_{12}, k_{12}, p_{12}, L_{11}, M_{11}, N_{11}
dartgr1(G, T_1) → poly41, l_{12}, V_{11}, W_{11}, Z_{11}, A_{12}, m_{12}, n_{12}, q_{12}, r_{12}, s_{12}, S_{11}, T_{11}, U_{11}
dartgr1(B, Z_2) → poly42, t_{12}, E_{12}, F_{12}, G_{12}, H_{12}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, B_{12}, C_{12}, D_{12}
dartgr1(D_1, Q_2) → poly43, f_{13}, L_{12}, M_{12}, N_{12}, O_{12}, g_{13}, h_{13}, i_{13}, k_{13}, p_{13}, I_{12}, J_{12}, K_{12}
dartgr1(U, J_2) → poly44, j_{13}, S_{12}, T_{12}, U_{12}, V_{12}, l_{13}, m_{13}, n_{13}, q_{13}, r_{13}, P_{12}, Q_{12}, R_{12}
dartgr1(N, C_2) → poly45, s_{13}, B_{13}, C_{13}, D_{13}, E_{13}, t_{13}, a_{14}, b_{14}, c_{14}, d_{14}, W_{12}, Z_{12}, A_{13}
dartgr2(G_3, B) → poly46, e_{14}, I_{13}, J_{13}, K_{13}, L_{13}, f_{14}, g_{14}, h_{14}, k_{14}, p_{14}, F_{13}, G_{13}, H_{13}
dartgr2(K_4, D_1) → poly47, i_{14}, P_{13}, Q_{13}, R_{13}, S_{13}, j_{14}, l_{14}, m_{14}, q_{14}, r_{14}, M_{13}, N_{13}, O_{13}
dartgr2(D_4, U) → poly48, n_{14}, W_{13}, Z_{13}, A_{14}, B_{14}, s_{14}, t_{14}, a_{15}, c_{15}, d_{15}, T_{13}, U_{13}, V_{13}
dartgr2(U_3, N) → poly49, b_{15}, F_{14}, G_{14}, H_{14}, I_{14}, e_{15}, f_{15}, g_{15}, h_{15}, k_{15}, C_{14}, D_{14}, E_{14}
dartgr2(N_3, G) → poly50, i_{15}, M_{14}, N_{14}, O_{14}, P_{14}, j_{15}, l_{15}, m_{15}, p_{15}, q_{15}, J_{14}, K_{14}, L_{14}
dartgr2(T_1, G) → poly51, n_{15}, T_{14}, U_{14}, V_{14}, W_{14}, r_{15}, s_{15}, t_{15}, c_{16}, d_{16}, Q_{14}, R_{14}, S_{14}
dartgr2(Z_2, B) → poly52, a_{16}, C_{15}, D_{15}, E_{15}, F_{15}, b_{16}, e_{16}, f_{16}, g_{16}, h_{16}, Z_{14}, A_{15}, B_{15}
dartgr2(Q_2, D_1) → poly53, i_{16}, J_{15}, K_{15}, L_{15}, M_{15}, j_{16}, k_{16}, l_{16}, p_{16}, q_{16}, G_{15}, H_{15}, I_{15}
dartgr2(J_2, U) → poly54, m_{16}, Q_{15}, R_{15}, S_{15}, T_{15}, n_{16}, r_{16}, s_{16}, t_{16}, c_{17}, N_{15}, O_{15}, P_{15}
dartgr2(C_2, N) → poly55, a_{17}, Z_{15}, A_{16}, B_{16}, C_{16}, b_{17}, d_{17}, e_{17}, f_{17}, g_{17}, U_{15}, V_{15}, W_{15}
dartgr1(I, R_1) → poly56, h_{17}, G_{16}, H_{16}, I_{16}, J_{16}, i_{17}, j_{17}, k_{17}, p_{17}, q_{17}, D_{16}, E_{16}, F_{16}
dartgr1(M_1, V_2) → poly57, l_{17}, N_{16}, O_{16}, P_{16}, Q_{16}, m_{17}, n_{17}, r_{17}, s_{17}, t_{17}, K_{16}, L_{16}, M_{16}
dartgr1(F_1, O_2) → poly58, a_{18}, U_{16}, V_{16}, W_{16}, Z_{16}, b_{18}, c_{18}, d_{18}, e_{18}, f_{18}, R_{16}, S_{16}, T_{16}
dartgr1(W, H_2) → poly59, g_{18}, D_{17}, E_{17}, F_{17}, G_{17}, h_{18}, i_{18}, j_{18}, k_{18}, p_{18}, A_{17}, B_{17}, C_{17}
dartgr1(P, A_2) → poly60, l_{18}, K_{17}, L_{17}, M_{17}, N_{17}, m_{18}, n_{18}, q_{18}, r_{18}, s_{18}, H_{17}, I_{17}, J_{17}
kitegr1(A, E_{16}) → poly61, t_{18}, R_{17}, S_{17}, T_{17}, U_{17}, a_{19}, b_{19}, c_{19}, d_{19}, e_{19}, O_{17}, P_{17}, Q_{17}
kitegr1(A, L_{16}) → poly62, f_{19}, A_{18}, B_{18}, C_{18}, D_{18}, g_{19}, h_{19}, i_{19}, k_{19}, p_{19}, V_{17}, W_{17}, Z_{17}
kitegr1(A, S_{16}) → poly63, j_{19}, H_{18}, I_{18}, J_{18}, K_{18}, l_{19}, m_{19}, n_{19}, q_{19}, r_{19}, E_{18}, F_{18}, G_{18}
kitegr1(A, B_{17}) → poly64, s_{19}, O_{18}, P_{18}, Q_{18}, R_{18}, t_{19}, a_{20}, b_{20}, c_{20}, d_{20}, L_{18}, M_{18}, N_{18}
kitegr1(A, I_{17}) → poly65, e_{20}, V_{18}, W_{18}, Z_{18}, A_{19}, f_{20}, g_{20}, h_{20}, k_{20}, p_{20}, S_{18}, T_{18}, U_{18}
kitegr3(V_5, V_2) → poly66, i_{20}, E_{19}, F_{19}, G_{19}, H_{19}, j_{20}, l_{20}, m_{20}, q_{20}, r_{20}, B_{19}, C_{19}, D_{19}
kitegr3(R_4, R_1) → poly67, n_{20}, L_{19}, M_{19}, N_{19}, O_{19}, s_{20}, t_{20}, a_{21}, c_{21}, d_{21}, I_{19}, J_{19}, K_{19}
kitegr3(H_5, A_2) → poly68, b_{21}, S_{19}, T_{19}, U_{19}, V_{19}, e_{21}, f_{21}, g_{21}, h_{21}, k_{21}, P_{19}, Q_{19}, R_{19}
kitegr3(A_5, H_2) → poly69, i_{21}, B_{20}, C_{20}, D_{20}, E_{20}, j_{21}, l_{21}, m_{21}, p_{21}, q_{21}, W_{19}, Z_{19}, A_{20}
kitegr3(O_5, O_2) → poly70, n_{21}, I_{20}, J_{20}, K_{20}, L_{20}, r_{21}, s_{21}, t_{21}, c_{22}, d_{22}, F_{20}, G_{20}, H_{20}
kitegr4(R_1, R_4) → poly71, a_{22}, P_{20}, Q_{20}, R_{20}, S_{20}, b_{22}, e_{22}, f_{22}, g_{22}, h_{22}, M_{20}, N_{20}, O_{20}
kitegr4(A_2, H_5) → poly72, i_{22}, W_{20}, Z_{20}, A_{21}, B_{21}, j_{22}, k_{22}, l_{22}, p_{22}, q_{22}, T_{20}, U_{20}, V_{20}
kitegr4(H_2, A_5) → poly73, m_{22}, F_{21}, G_{21}, H_{21}, I_{21}, n_{22}, r_{22}, s_{22}, t_{22}, c_{23}, C_{21}, D_{21}, E_{21}
kitegr4(O_2, O_5) → poly74, a_{23}, M_{21}, N_{21}, O_{21}, P_{21}, b_{23}, d_{23}, e_{23}, f_{23}, g_{23}, J_{21}, K_{21}, L_{21}
kitegr4(V_2, V_5) → poly75, h_{23}, T_{21}, U_{21}, V_{21}, W_{21}, i_{23}, j_{23}, k_{23}, p_{23}, q_{23}, Q_{21}, R_{21}, S_{21}
kitegr4(T_1, C_9) → poly76, l_{23}, C_{22}, D_{22}, E_{22}, F_{22}, m_{23}, n_{23}, r_{23}, s_{23}, t_{23}, Z_{21}, A_{22}, B_{22}
kitegr4(N_3, T_8) → poly77, a_{24}, J_{22}, K_{22}, L_{22}, M_{22}, b_{24}, c_{24}, d_{24}, e_{24}, f_{24}, G_{22}, H_{22}, I_{22}
kitegr4(C_2, K_{11}) → poly78, g_{24}, Q_{22}, R_{22}, S_{22}, T_{22}, h_{24}, i_{24}, j_{24}, k_{24}, p_{24}, N_{22}, O_{22}, P_{22}
kitegr4(U_3, F_8) → poly79, l_{24}, Z_{22}, A_{23}, B_{23}, C_{23}, m_{24}, n_{24}, q_{24}, r_{24}, s_{24}, U_{22}, V_{22}, W_{22}
kitegr4(J_2, U_{10}) → poly80, t_{24}, G_{23}, H_{23}, I_{23}, J_{23}, a_{25}, b_{25}, c_{25}, d_{25}, e_{25}, D_{23}, E_{23}, F_{23}
kitegr4(D_4, P_7) → poly81, f_{25}, N_{23}, O_{23}, P_{23}, Q_{23}, g_{25}, h_{25}, i_{25}, k_{25}, p_{25}, K_{23}, L_{23}, M_{23}
kitegr4(Q_2, G_{10}) → poly82, j_{25}, U_{23}, V_{23}, W_{23}, Z_{23}, l_{25}, m_{25}, n_{25}, q_{25}, r_{25}, R_{23}, S_{23}, T_{23}
kitegr4(K_4, B_7) → poly83, s_{25}, D_{24}, E_{24}, F_{24}, G_{24}, t_{25}, a_{26}, b_{26}, c_{26}, d_{26}, A_{24}, B_{24}, C_{24}
kitegr4(Z_2, Q_9) → poly84, e_{26}, K_{24}, L_{24}, M_{24}, N_{24}, f_{26}, g_{26}, h_{26}, k_{26}, p_{26}, H_{24}, I_{24}, J_{24}
kitegr4(G_3, L_6) → poly85, i_{26}, R_{24}, S_{24}, T_{24}, U_{24}, j_{26}, l_{26}, m_{26}, q_{26}, r_{26}, O_{24}, P_{24}, Q_{24}
kitegr3(T_8, N_3) → poly86, n_{26}, A_{25}, B_{25}, C_{25}, D_{25}, s_{26}, t_{26}, a_{27}, c_{27}, d_{27}, V_{24}, W_{24}, Z_{24}
kitegr3(K_{11}, C_2) → poly87, b_{27}, H_{25}, I_{25}, J_{25}, K_{25}, e_{27}, f_{27}, g_{27}, h_{27}, k_{27}, E_{25}, F_{25}, G_{25}
kitegr3(F_8, U_3) → poly88, i_{27}, O_{25}, P_{25}, Q_{25}, R_{25}, j_{27}, l_{27}, m_{27}, p_{27}, q_{27}, L_{25}, M_{25}, N_{25}
kitegr3(U_{10}, J_2) → poly89, n_{27}, V_{25}, W_{25}, Z_{25}, A_{26}, r_{27}, s_{27}, t_{27}, c_{28}, d_{28}, S_{25}, T_{25}, U_{25}
kitegr3(P_7, D_4) → poly90, a_{28}, E_{26}, F_{26}, G_{26}, H_{26}, b_{28}, e_{28}, f_{28}, g_{28}, h_{28}, B_{26}, C_{26}, D_{26}
kitegr3(G_{10}, Q_2) → poly91, i_{28}, L_{26}, M_{26}, N_{26}, O_{26}, j_{28}, k_{28}, l_{28}, p_{28}, q_{28}, I_{26}, J_{26}, K_{26}
kitegr3(B_7, K_4) → poly92, m_{28}, S_{26}, T_{26}, U_{26}, V_{26}, n_{28}, r_{28}, s_{28}, t_{28}, c_{29}, P_{26}, Q_{26}, R_{26}
kitegr3(Q_9, Z_2) → poly93, a_{29}, B_{27}, C_{27}, D_{27}, E_{27}, b_{29}, d_{29}, e_{29}, f_{29}, g_{29}, W_{26}, Z_{26}, A_{27}
kitegr3(L_6, G_3) → poly94, h_{29}, I_{27}, J_{27}, K_{27}, L_{27}, i_{29}, j_{29}, k_{29}, p_{29}, q_{29}, F_{27}, G_{27}, H_{27}
kitegr3(C_9, T_1) → poly95, l_{29}, P_{27}, Q_{27}, R_{27}, S_{27}, m_{29}, n_{29}, r_{29}, s_{29}, t_{29}, M_{27}, N_{27}, O_{27}
kitegr3(E_6, T_1) → poly96, a_{30}, W_{27}, Z_{27}, A_{28}, B_{28}, b_{30}, c_{30}, d_{30}, e_{30}, f_{30}, T_{27}, U_{27}, V_{27}
kitegr3(R_{11}, N_3) → poly97, g_{30}, F_{28}, G_{28}, H_{28}, I_{28}, h_{30}, i_{30}, j_{30}, k_{30}, p_{30}, C_{28}, D_{28}, E_{28}
kitegr3(M_8, C_2) → poly98, l_{30}, M_{28}, N_{28}, O_{28}, P_{28}, m_{30}, n_{30}, q_{30}, r_{30}, s_{30}, J_{28}, K_{28}, L_{28}
kitegr3(D_{11}, U_3) → poly99, t_{30}, T_{28}, U_{28}, V_{28}, W_{28}, a_{31}, b_{31}, c_{31}, d_{31}, e_{31}, Q_{28}, R_{28}, S_{28}
kitegr3(W_7, J_2) → poly100, f_{31}, C_{29}, D_{29}, E_{29}, F_{29}, g_{31}, h_{31}, i_{31}, k_{31}, p_{31}, Z_{28}, A_{29}, B_{29}
kitegr3(N_{10}, D_4) → poly101, j_{31}, J_{29}, K_{29}, L_{29}, M_{29}, l_{31}, m_{31}, n_{31}, q_{31}, r_{31}, G_{29}, H_{29}, I_{29}
kitegr3(I_7, Q_2) → poly102, s_{31}, Q_{29}, R_{29}, S_{29}, T_{29}, t_{31}, a_{32}, b_{32}, c_{32}, d_{32}, N_{29}, O_{29}, P_{29}
kitegr3(Z_9, K_4) → poly103, e_{32}, Z_{29}, A_{30}, B_{30}, C_{30}, f_{32}, g_{32}, h_{32}, k_{32}, p_{32}, U_{29}, V_{29}, W_{29}
kitegr3(S_6, Z_2) → poly104, i_{32}, G_{30}, H_{30}, I_{30}, J_{30}, j_{32}, l_{32}, m_{32}, q_{32}, r_{32}, D_{30}, E_{30}, F_{30}
kitegr3(J_9, G_3) → poly105, n_{32}, N_{30}, O_{30}, P_{30}, Q_{30}, s_{32}, t_{32}, a_{33}, c_{33}, d_{33}, K_{30}, L_{30}, M_{30}
kitegr4(G_3, J_9) → poly106, b_{33}, U_{30}, V_{30}, W_{30}, Z_{30}, e_{33}, f_{33}, g_{33}, h_{33}, k_{33}, R_{30}, S_{30}, T_{30}
kitegr4(N_3, R_{11}) → poly107, i_{33}, D_{31}, E_{31}, F_{31}, G_{31}, j_{33}, l_{33}, m_{33}, p_{33}, q_{33}, A_{31}, B_{31}, C_{31}
kitegr4(U_3, D_{11}) → poly108, n_{33}, K_{31}, L_{31}, M_{31}, N_{31}, r_{33}, s_{33}, t_{33}, c_{34}, d_{34}, H_{31}, I_{31}, J_{31}
kitegr4(D_4, N_{10}) → poly109, a_{34}, R_{31}, S_{31}, T_{31}, U_{31}, b_{34}, e_{34}, f_{34}, g_{34}, h_{34}, O_{31}, P_{31}, Q_{31}
kitegr4(Q_2, I_7) → poly110, i_{34}, A_{32}, B_{32}, C_{32}, D_{32}, j_{34}, k_{34}, l_{34}, p_{34}, q_{34}, V_{31}, W_{31}, Z_{31}
kitegr4(K_4, Z_9) → poly111, m_{34}, H_{32}, I_{32}, J_{32}, K_{32}, n_{34}, r_{34}, s_{34}, t_{34}, c_{35}, E_{32}, F_{32}, G_{32}
kitegr4(C_2, M_8) → poly112, a_{35}, O_{32}, P_{32}, Q_{32}, R_{32}, b_{35}, d_{35}, e_{35}, f_{35}, g_{35}, L_{32}, M_{32}, N_{32}
kitegr4(T_1, E_6) → poly113, h_{35}, V_{32}, W_{32}, Z_{32}, A_{33}, i_{35}, j_{35}, k_{35}, p_{35}, q_{35}, S_{32}, T_{32}, U_{32}
kitegr4(J_2, W_7) → poly114, l_{35}, E_{33}, F_{33}, G_{33}, H_{33}, m_{35}, n_{35}, r_{35}, s_{35}, t_{35}, B_{33}, C_{33}, D_{33}
kitegr4(Z_2, S_6) → poly115, a_{36}, L_{33}, M_{33}, N_{33}, O_{33}, b_{36}, c_{36}, d_{36}, e_{36}, f_{36}, I_{33}, J_{33}, K_{33}
dartgr1(A, V_5) → poly116, g_{36}, S_{33}, T_{33}, U_{33}, V_{33}, h_{36}, i_{36}, j_{36}, k_{36}, p_{36}, P_{33}, Q_{33}, R_{33}
dartgr1(A, H_5) → poly117, l_{36}, B_{34}, C_{34}, D_{34}, E_{34}, m_{36}, n_{36}, q_{36}, r_{36}, s_{36}, W_{33}, Z_{33}, A_{34}
dartgr1(A, R_4) → poly118, t_{36}, I_{34}, J_{34}, K_{34}, L_{34}, a_{37}, b_{37}, c_{37}, d_{37}, e_{37}, F_{34}, G_{34}, H_{34}
dartgr1(A, A_5) → poly119, f_{37}, P_{34}, Q_{34}, R_{34}, S_{34}, g_{37}, h_{37}, i_{37}, k_{37}, p_{37}, M_{34}, N_{34}, O_{34}
dartgr1(A, O_5) → poly120, j_{37}, W_{34}, Z_{34}, A_{35}, B_{35}, l_{37}, m_{37}, n_{37}, q_{37}, r_{37}, T_{34}, U_{34}, V_{34}
dartgr1(E, J_9) → poly121, s_{37}, F_{35}, G_{35}, H_{35}, I_{35}, t_{37}, a_{38}, b_{38}, c_{38}, d_{38}, C_{35}, D_{35}, E_{35}
dartgr1(E, E_6) → poly122, e_{38}, M_{35}, N_{35}, O_{35}, P_{35}, f_{38}, g_{38}, h_{38}, k_{38}, p_{38}, J_{35}, K_{35}, L_{35}
dartgr2(E_6, E) → poly123, i_{38}, T_{35}, U_{35}, V_{35}, W_{35}, j_{38}, l_{38}, m_{38}, q_{38}, r_{38}, Q_{35}, R_{35}, S_{35}
dartgr1(I_1, S_6) → poly124, n_{38}, C_{36}, D_{36}, E_{36}, F_{36}, s_{38}, t_{38}, a_{39}, c_{39}, d_{39}, Z_{35}, A_{36}, B_{36}
dartgr1(I_1, Z_9) → poly125, b_{39}, J_{36}, K_{36}, L_{36}, M_{36}, e_{39}, f_{39}, g_{39}, h_{39}, k_{39}, G_{36}, H_{36}, I_{36}
dartgr1(B_1, I_7) → poly126, i_{39}, Q_{36}, R_{36}, S_{36}, T_{36}, j_{39}, l_{39}, m_{39}, p_{39}, q_{39}, N_{36}, O_{36}, P_{36}
dartgr1(B_1, N_{10}) → poly127, n_{39}, Z_{36}, A_{37}, B_{37}, C_{37}, r_{39}, s_{39}, t_{39}, c_{40}, d_{40}, U_{36}, V_{36}, W_{36}
dartgr1(S, W_7) → poly128, a_{40}, G_{37}, H_{37}, I_{37}, J_{37}, b_{40}, e_{40}, f_{40}, g_{40}, h_{40}, D_{37}, E_{37}, F_{37}
dartgr1(S, D_{11}) → poly129, i_{40}, N_{37}, O_{37}, P_{37}, Q_{37}, j_{40}, k_{40}, l_{40}, p_{40}, q_{40}, K_{37}, L_{37}, M_{37}
dartgr1(L, M_8) → poly130, m_{40}, U_{37}, V_{37}, W_{37}, Z_{37}, n_{40}, r_{40}, s_{40}, t_{40}, c_{41}, R_{37}, S_{37}, T_{37}
dartgr1(L, R_{11}) → poly131, a_{41}, D_{38}, E_{38}, F_{38}, G_{38}, b_{41}, d_{41}, e_{41}, f_{41}, g_{41}, A_{38}, B_{38}, C_{38}
dartgr2(S_6, I_1) → poly132, h_{41}, K_{38}, L_{38}, M_{38}, N_{38}, i_{41}, j_{41}, k_{41}, p_{41}, q_{41}, H_{38}, I_{38}, J_{38}
dartgr2(I_7, B_1) → poly133, l_{41}, R_{38}, S_{38}, T_{38}, U_{38}, m_{41}, n_{41}, r_{41}, s_{41}, t_{41}, O_{38}, P_{38}, Q_{38}
dartgr2(W_7, S) → poly134, a_{42}, A_{39}, B_{39}, C_{39}, D_{39}, b_{42}, c_{42}, d_{42}, e_{42}, f_{42}, V_{38}, W_{38}, Z_{38}
dartgr2(M_8, L) → poly135, g_{42}, H_{39}, I_{39}, J_{39}, K_{39}, h_{42}, i_{42}, j_{42}, k_{42}, p_{42}, E_{39}, F_{39}, G_{39}
dartgr1(R_1, C_9) → poly136, l_{42}, O_{39}, P_{39}, Q_{39}, R_{39}, m_{42}, n_{42}, q_{42}, r_{42}, s_{42}, L_{39}, M_{39}, N_{39}
dartgr1(V_2, L_6) → poly137, t_{42}, V_{39}, W_{39}, Z_{39}, A_{40}, a_{43}, b_{43}, c_{43}, d_{43}, e_{43}, S_{39}, T_{39}, U_{39}
dartgr1(R_1, E_{16}) → poly138, f_{43}, E_{40}, F_{40}, G_{40}, H_{40}, g_{43}, h_{43}, i_{43}, k_{43}, p_{43}, B_{40}, C_{40}, D_{40}
dartgr1(V_2, Q_9) → poly139, j_{43}, L_{40}, M_{40}, N_{40}, O_{40}, l_{43}, m_{43}, n_{43}, q_{43}, r_{43}, I_{40}, J_{40}, K_{40}
dartgr1(O_2, B_7) → poly140, s_{43}, S_{40}, T_{40}, U_{40}, V_{40}, t_{43}, a_{44}, b_{44}, c_{44}, d_{44}, P_{40}, Q_{40}, R_{40}
dartgr1(O_2, G_{10}) → poly141, e_{44}, B_{41}, C_{41}, D_{41}, E_{41}, f_{44}, g_{44}, h_{44}, k_{44}, p_{44}, W_{40}, Z_{40}, A_{41}
dartgr1(O_2, S_{16}) → poly142, i_{44}, I_{41}, J_{41}, K_{41}, L_{41}, j_{44}, l_{44}, m_{44}, q_{44}, r_{44}, F_{41}, G_{41}, H_{41}
dartgr1(V_2, L_{16}) → poly143, n_{44}, P_{41}, Q_{41}, R_{41}, S_{41}, s_{44}, t_{44}, a_{45}, c_{45}, d_{45}, M_{41}, N_{41}, O_{41}
dartgr1(H_2, P_7) → poly144, b_{45}, W_{41}, Z_{41}, A_{42}, B_{42}, e_{45}, f_{45}, g_{45}, h_{45}, k_{45}, T_{41}, U_{41}, V_{41}
dartgr1(H_2, U_{10}) → poly145, i_{45}, F_{42}, G_{42}, H_{42}, I_{42}, j_{45}, l_{45}, m_{45}, p_{45}, q_{45}, C_{42}, D_{42}, E_{42}
dartgr1(H_2, B_{17}) → poly146, n_{45}, M_{42}, N_{42}, O_{42}, P_{42}, r_{45}, s_{45}, t_{45}, c_{46}, d_{46}, J_{42}, K_{42}, L_{42}
dartgr1(A_2, F_8) → poly147, a_{46}, T_{42}, U_{42}, V_{42}, W_{42}, b_{46}, e_{46}, f_{46}, g_{46}, h_{46}, Q_{42}, R_{42}, S_{42}
dartgr1(A_2, K_{11}) → poly148, i_{46}, C_{43}, D_{43}, E_{43}, F_{43}, j_{46}, k_{46}, l_{46}, p_{46}, q_{46}, Z_{42}, A_{43}, B_{43}
dartgr1(A_2, I_{17}) → poly149, m_{46}, J_{43}, K_{43}, L_{43}, M_{43}, n_{46}, r_{46}, s_{46}, t_{46}, c_{47}, G_{43}, H_{43}, I_{43}
dartgr2(I_{17}, R_1) → poly150, a_{47}, Q_{43}, R_{43}, S_{43}, T_{43}, b_{47}, d_{47}, e_{47}, f_{47}, g_{47}, N_{43}, O_{43}, P_{43}
kitegr1(I, S_1) → poly151, h_{47}, Z_{43}, A_{44}, B_{44}, C_{44}, i_{47}, j_{47}, k_{47}, p_{47}, q_{47}, U_{43}, V_{43}, W_{43}
kitegr1(M_1, W_2) → poly152, l_{47}, G_{44}, H_{44}, I_{44}, J_{44}, m_{47}, n_{47}, r_{47}, s_{47}, t_{47}, D_{44}, E_{44}, F_{44}
kitegr1(F_1, P_2) → poly153, a_{48}, N_{44}, O_{44}, P_{44}, Q_{44}, b_{48}, c_{48}, d_{48}, e_{48}, f_{48}, K_{44}, L_{44}, M_{44}
kitegr1(P, B_2) → poly154, g_{48}, U_{44}, V_{44}, W_{44}, Z_{44}, h_{48}, i_{48}, j_{48}, k_{48}, p_{48}, R_{44}, S_{44}, T_{44}
kitegr1(W, I_2) → poly155, l_{48}, D_{45}, E_{45}, F_{45}, G_{45}, m_{48}, n_{48}, q_{48}, r_{48}, s_{48}, A_{45}, B_{45}, C_{45}
kitegr1(F, T_{32}) → poly156, t_{48}, K_{45}, L_{45}, M_{45}, N_{45}, a_{49}, b_{49}, c_{49}, d_{49}, e_{49}, H_{45}, I_{45}, J_{45}
kitegr1(D, G_{13}) → poly157, f_{49}, R_{45}, S_{45}, T_{45}, U_{45}, g_{49}, h_{49}, i_{49}, k_{49}, p_{49}, O_{45}, P_{45}, Q_{45}
kitegr1(J_1, J_{33}) → poly158, j_{49}, A_{46}, B_{46}, C_{46}, D_{46}, l_{49}, m_{49}, n_{49}, q_{49}, r_{49}, V_{45}, W_{45}, Z_{45}
kitegr1(H_1, N_{13}) → poly159, s_{49}, H_{46}, I_{46}, J_{46}, K_{46}, t_{49}, a_{50}, b_{50}, c_{50}, d_{50}, E_{46}, F_{46}, G_{46}
kitegr1(K, K_{14}) → poly160, e_{50}, O_{46}, P_{46}, Q_{46}, R_{46}, f_{50}, g_{50}, h_{50}, k_{50}, p_{50}, L_{46}, M_{46}, N_{46}
kitegr1(M, M_{32}) → poly161, i_{50}, V_{46}, W_{46}, Z_{46}, A_{47}, j_{50}, l_{50}, m_{50}, q_{50}, r_{50}, S_{46}, T_{46}, U_{46}
kitegr1(R, D_{14}) → poly162, n_{50}, E_{47}, F_{47}, G_{47}, H_{47}, s_{50}, t_{50}, a_{51}, c_{51}, d_{51}, B_{47}, C_{47}, D_{47}
kitegr1(T, C_{33}) → poly163, b_{51}, L_{47}, M_{47}, N_{47}, O_{47}, e_{51}, f_{51}, g_{51}, h_{51}, k_{51}, I_{47}, J_{47}, K_{47}
kitegr1(A_1, U_{13}) → poly164, i_{51}, S_{47}, T_{47}, U_{47}, V_{47}, j_{51}, l_{51}, m_{51}, p_{51}, q_{51}, P_{47}, Q_{47}, R_{47}
kitegr1(C_1, W_{31}) → poly165, n_{51}, B_{48}, C_{48}, D_{48}, E_{48}, r_{51}, s_{51}, t_{51}, c_{52}, d_{52}, W_{47}, Z_{47}, A_{48}
dartgr1(G_3, J_6) → poly166, a_{52}, I_{48}, J_{48}, K_{48}, L_{48}, b_{52}, e_{52}, f_{52}, g_{52}, h_{52}, F_{48}, G_{48}, H_{48}
dartgr2(J_6, Z_2) → poly167, i_{52}, P_{48}, Q_{48}, R_{48}, S_{48}, j_{52}, k_{52}, l_{52}, p_{52}, q_{52}, M_{48}, N_{48}, O_{48}
dartgr1(G_{13}, D) → poly168, m_{52}, W_{48}, Z_{48}, A_{49}, B_{49}, n_{52}, r_{52}, s_{52}, t_{52}, c_{53}, T_{48}, U_{48}, V_{48}
kitegr1(B, G_{48}) → poly169, a_{53}, F_{49}, G_{49}, H_{49}, I_{49}, b_{53}, d_{53}, e_{53}, f_{53}, g_{53}, C_{49}, D_{49}, E_{49}
kitegr1(B, U_{48}) → poly170, h_{53}, M_{49}, N_{49}, O_{49}, P_{49}, i_{53}, j_{53}, k_{53}, p_{53}, q_{53}, J_{49}, K_{49}, L_{49}
kitegr1(B, P_{48}) → poly171, l_{53}, T_{49}, U_{49}, V_{49}, W_{49}, m_{53}, n_{53}, r_{53}, s_{53}, t_{53}, Q_{49}, R_{49}, S_{49}
kitegr1(B, U_{49}) → poly172, a_{54}, C_{50}, D_{50}, E_{50}, F_{50}, b_{54}, c_{54}, d_{54}, e_{54}, f_{54}, Z_{49}, A_{50}, B_{50}
kitegr1(B, D_{50}) → poly173, g_{54}, J_{50}, K_{50}, L_{50}, M_{50}, h_{54}, i_{54}, j_{54}, k_{54}, p_{54}, G_{50}, H_{50}, I_{50}
dartgr2(J_1, E_{12}) → poly174, l_{54}, Q_{50}, R_{50}, S_{50}, T_{50}, m_{54}, n_{54}, q_{54}, r_{54}, s_{54}, N_{50}, O_{50}, P_{50}
dartgr2(H_1, K_4) → poly175, t_{54}, Z_{50}, A_{51}, B_{51}, C_{51}, a_{55}, b_{55}, c_{55}, d_{55}, e_{55}, U_{50}, V_{50}, W_{50}
dartgr2(Z_6, Q_2) → poly176, f_{55}, G_{51}, H_{51}, I_{51}, J_{51}, g_{55}, h_{55}, i_{55}, k_{55}, p_{55}, D_{51}, E_{51}, F_{51}
dartgr2(C_1, L_{12}) → poly177, j_{55}, N_{51}, O_{51}, P_{51}, Q_{51}, l_{55}, m_{55}, n_{55}, q_{55}, r_{55}, K_{51}, L_{51}, M_{51}
dartgr2(A_1, D_4) → poly178, s_{55}, U_{51}, V_{51}, W_{51}, Z_{51}, t_{55}, a_{56}, b_{56}, c_{56}, d_{56}, R_{51}, S_{51}, T_{51}
dartgr2(N_7, J_2) → poly179, e_{56}, D_{52}, E_{52}, F_{52}, G_{52}, f_{56}, g_{56}, h_{56}, k_{56}, p_{56}, A_{52}, B_{52}, C_{52}
dartgr2(T, S_{12}) → poly180, i_{56}, K_{52}, L_{52}, M_{52}, N_{52}, j_{56}, l_{56}, m_{56}, q_{56}, r_{56}, H_{52}, I_{52}, J_{52}
dartgr2(R, U_3) → poly181, n_{56}, R_{52}, S_{52}, T_{52}, U_{52}, s_{56}, t_{56}, a_{57}, c_{57}, d_{57}, O_{52}, P_{52}, Q_{52}
dartgr2(D_8, C_2) → poly182, b_{57}, A_{53}, B_{53}, C_{53}, D_{53}, e_{57}, f_{57}, g_{57}, h_{57}, k_{57}, V_{52}, W_{52}, Z_{52}
dartgr2(M, B_{13}) → poly183, i_{57}, H_{53}, I_{53}, J_{53}, K_{53}, j_{57}, l_{57}, m_{57}, p_{57}, q_{57}, E_{53}, F_{53}, G_{53}
dartgr2(K, N_3) → poly184, n_{57}, O_{53}, P_{53}, Q_{53}, R_{53}, r_{57}, s_{57}, t_{57}, c_{58}, d_{58}, L_{53}, M_{53}, N_{53}
dartgr2(R_8, T_1) → poly185, a_{58}, V_{53}, W_{53}, Z_{53}, A_{54}, b_{58}, e_{58}, f_{58}, g_{58}, h_{58}, S_{53}, T_{53}, U_{53}
dartgr2(F, V_{11}) → poly186, i_{58}, E_{54}, F_{54}, G_{54}, H_{54}, j_{58}, k_{58}, l_{58}, p_{58}, q_{58}, B_{54}, C_{54}, D_{54}
dartgr1(N_{13}, H_1) → poly187, m_{58}, L_{54}, M_{54}, N_{54}, O_{54}, n_{58}, r_{58}, s_{58}, t_{58}, c_{59}, I_{54}, J_{54}, K_{54}
dartgr1(U_{13}, A_1) → poly188, a_{59}, S_{54}, T_{54}, U_{54}, V_{54}, b_{59}, d_{59}, e_{59}, f_{59}, g_{59}, P_{54}, Q_{54}, R_{54}
dartgr1(D_{14}, R) → poly189, h_{59}, B_{55}, C_{55}, D_{55}, E_{55}, i_{59}, j_{59}, k_{59}, p_{59}, q_{59}, W_{54}, Z_{54}, A_{55}
dartgr1(K_{14}, K) → poly190, l_{59}, I_{55}, J_{55}, K_{55}, L_{55}, m_{59}, n_{59}, r_{59}, s_{59}, t_{59}, F_{55}, G_{55}, H_{55}
kitegr1(G, G_{55}) → poly191, a_{60}, P_{55}, Q_{55}, R_{55}, S_{55}, b_{60}, c_{60}, d_{60}, e_{60}, f_{60}, M_{55}, N_{55}, O_{55}
kitegr1(G, O_{53}) → poly192, g_{60}, W_{55}, Z_{55}, A_{56}, B_{56}, h_{60}, i_{60}, j_{60}, k_{60}, p_{60}, T_{55}, U_{55}, V_{55}
kitegr1(G, V_{53}) → poly193, l_{60}, F_{56}, G_{56}, H_{56}, I_{56}, m_{60}, n_{60}, q_{60}, r_{60}, s_{60}, C_{56}, D_{56}, E_{56}
kitegr1(D_1, Z_{50}) → poly194, t_{60}, M_{56}, N_{56}, O_{56}, P_{56}, a_{61}, b_{61}, c_{61}, d_{61}, e_{61}, J_{56}, K_{56}, L_{56}
kitegr1(D_1, J_{54}) → poly195, f_{61}, T_{56}, U_{56}, V_{56}, W_{56}, g_{61}, h_{61}, i_{61}, k_{61}, p_{61}, Q_{56}, R_{56}, S_{56}
kitegr1(D_1, G_{51}) → poly196, j_{61}, C_{57}, D_{57}, E_{57}, F_{57}, l_{61}, m_{61}, n_{61}, q_{61}, r_{61}, Z_{56}, A_{57}, B_{57}
kitegr1(U, Q_{54}) → poly197, s_{61}, J_{57}, K_{57}, L_{57}, M_{57}, t_{61}, a_{62}, b_{62}, c_{62}, d_{62}, G_{57}, H_{57}, I_{57}
kitegr1(U, U_{51}) → poly198, e_{62}, Q_{57}, R_{57}, S_{57}, T_{57}, f_{62}, g_{62}, h_{62}, k_{62}, p_{62}, N_{57}, O_{57}, P_{57}
kitegr1(U, D_{52}) → poly199, i_{62}, Z_{57}, A_{58}, B_{58}, C_{58}, j_{62}, l_{62}, m_{62}, q_{62}, r_{62}, U_{57}, V_{57}, W_{57}
kitegr1(N, Z_{54}) → poly200, n_{62}, G_{58}, H_{58}, I_{58}, J_{58}, s_{62}, t_{62}, a_{63}, c_{63}, d_{63}, D_{58}, E_{58}, F_{58}
kitegr1(N, R_{52}) → poly201, b_{63}, N_{58}, O_{58}, P_{58}, Q_{58}, e_{63}, f_{63}, g_{63}, h_{63}, k_{63}, K_{58}, L_{58}, M_{58}
kitegr1(N, A_{53}) → poly202, i_{63}, U_{58}, V_{58}, W_{58}, Z_{58}, j_{63}, l_{63}, m_{63}, p_{63}, q_{63}, R_{58}, S_{58}, T_{58}
kitegr1(G, E_{54}) → poly204, a_{64}, K_{59}, L_{59}, M_{59}, N_{59}, b_{64}, e_{64}, f_{64}, g_{64}, h_{64}, H_{59}, I_{59}, J_{59}
kitegr1(G, L_{59}) → poly205, i_{64}, R_{59}, S_{59}, T_{59}, U_{59}, j_{64}, k_{64}, l_{64}, p_{64}, q_{64}, O_{59}, P_{59}, Q_{59}
kitegr1(N, H_{53}) → poly206, m_{64}, A_{60}, B_{60}, C_{60}, D_{60}, n_{64}, r_{64}, s_{64}, t_{64}, c_{65}, V_{59}, W_{59}, Z_{59}
kitegr1(N, B_{60}) → poly207, a_{65}, H_{60}, I_{60}, J_{60}, K_{60}, b_{65}, d_{65}, e_{65}, f_{65}, g_{65}, E_{60}, F_{60}, G_{60}
kitegr1(U, K_{52}) → poly208, h_{65}, O_{60}, P_{60}, Q_{60}, R_{60}, i_{65}, j_{65}, k_{65}, p_{65}, q_{65}, L_{60}, M_{60}, N_{60}
kitegr1(U, P_{60}) → poly209, l_{65}, V_{60}, W_{60}, Z_{60}, A_{61}, m_{65}, n_{65}, r_{65}, s_{65}, t_{65}, S_{60}, T_{60}, U_{60}
kitegr1(D_1, N_{51}) → poly210, a_{66}, E_{61}, F_{61}, G_{61}, H_{61}, b_{66}, c_{66}, d_{66}, e_{66}, f_{66}, B_{61}, C_{61}, D_{61}
kitegr1(D_1, F_{61}) → poly211, g_{66}, L_{61}, M_{61}, N_{61}, O_{61}, h_{66}, i_{66}, j_{66}, k_{66}, p_{66}, I_{61}, J_{61}, K_{61}
If(AnimationStatePol ≟ 0, "Turn Polygon Animation On", "Turn Polygon Animation Off") → ControlTextPol
If(AnimationStateCon ≟ 0, "Turn Conic Animation On", "Turn Conic Animation Off") → ControlTextCon
If(AnimationStatePolCon ≟ 0, "Turn Polygon and Conic Animation On", "Turn Polygon and Conic Animation Off") → ControlTextPolCon