Conformal Mapping and Cosmatesque
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This example demonstrates the integration of Cosmatesque tiling with conformal mapping. It involves core mathematical concepts like complex numbers, geometry, and vectors. Constructed using commands such as Line, OrthogonalLine, Midpoint, Rotate, Ray, Intersect, Circle, Segment, Polygon, Zip, Point, Distance, Vector, Translate. Suitable for high school and above students to understand the application of conformal mapping in geometric patterns.
GeoGebra Commands & Parameters
Line(A, B) → fOrthogonalLine(A, f) → gOrthogonalLine(B, f) → hMidpoint(A, B) → CMidpoint(C, B) → DMidpoint(A, C) → EOrthogonalLine(E, f) → iOrthogonalLine(C, f) → jOrthogonalLine(D, f) → kRotate(A, (-(30°)), B) → A'Ray(B, A') → lIntersect(l, g) → FCircle(A, F) → cSegment(B, F) → mCircle(F, Radius[c]) → dIntersect(d, g, 2) → GCircle(G, Radius[d]) → eCircle(B, Radius[e]) → qIntersect(q, h, 2) → ICircle(I, Radius[q]) → tIntersect(t, h, 2) → JCircle(J, Radius[t]) → c_1Segment(I, G) → nSegment(J, F) → bSegment(I, A) → g_1Intersect(m, i) → LIntersect(b, n) → MIntersect(n, k) → NIntersect(k, g_1) → OIntersect(g_1, m) → PIntersect(b, i) → QMidpoint(G, F) → RMidpoint(F, A) → SMidpoint(I, B) → TMidpoint(I, J) → USegment(R, T) → h_1Segment(U, S) → i_1Intersect(n, i) → ZIntersect(b, k) → A_1Polygon(Q, M, N, O, P, L) → poly1, q_1, m_1, n_1, o, p_1, l_1Polygon(F, Q, Z, R) → q1, f_2, q_2, z_1, r_1Polygon(N, A_1, U, I) → q2, n_2, a_1, u, i_2Intersect(k, m) → B_1Polygon(I, O, B_1, T) → q3, i_3, o_1, b_1, t_1Intersect(i, g_1) → C_1Segment(L, C_1) → j_1Polygon(L, F, S, C_1) → q4, l_2, f_3, s_1, c_2Polygon(C_1, P, B_1, C) → q5, c_3, p_2, b_2, c_4Zip(((exp(x(MM)) * cos(y(MM))), (exp(x(MM)) * sin(y(MM)))), MM, List) → L_1Point(L_1) → KPoint(L_1) → VPoint(L_1) → WPoint(L_1) → D_1Point(L_1) → E_1Point(L_1) → F_1Point(L_1) → G_1Point(L_1) → H_1Polygon(W, D_1, E_1, F_1, G_1, H_1) → poly2, w, d_2, e_1, f_1, g_2, h_2Point(L_1) → I_1Point(L_1) → J_1Point(L_1) → K_1Point(L_1) → M_1Point(L_1) → P_1Point(L_1) → O_1Polygon(I_1, G_1, J_1, K_1) → q6, i_4, g_3, j_2, k_1Point(L_1) → N_1Polygon(N_1, W, M_1, O_1) → q7, n_3, w_1, m_2, o_2Polygon(N_1, H_1, I_1, K) → q8, n_4, h_3, i_5, k_2Point(L_1) → Q_1Polygon(P_1, Q_1, V, E_1) → q9, p_3, q_3, v, e_2Point(L_1) → R_1Polygon(F_1, V, R_1, J_1) → q10, f_4, v_1, r_2, j_3Distance(C, M) → distanceCMRotate(L_1, α, H) → L_2Rotate(L_1, α°, H) → L_3Rotate(W, α°, H) → W'_2Rotate(D_1, α°, H) → R_2Rotate(E_1, α°, H) → S_2Rotate(F_1, α°, H) → T_2Rotate(G_1, α°, H) → U_2Rotate(H_1, α°, H) → V_2Polygon(W'_2, R_2, S_2, T_2, U_2, V_2) → poly2'_1, w'_2, r_3, s_2, t_3, u_2, v_3Rotate(I_1, α°, H) → W_2Rotate(G_1, α°, H) → Z_2Rotate(J_1, α°, H) → A_3Rotate(K_1, α°, H) → B_3Polygon(W_2, Z_2, A_3, B_3) → q6'_1, w_3, z_3, a_3, b_4Rotate(N_1, α°, H) → C_3Rotate(W, α°, H) → W'_3Rotate(M_1, α°, H) → D_3Rotate(O_1, α°, H) → E_3Polygon(C_3, W'_3, D_3, E_3) → q7'_1, c_6, w'_3, d_3, e_4Rotate(N_1, α°, H) → F_3Rotate(H_1, α°, H) → G_3Rotate(I_1, α°, H) → H_3Rotate(K, α°, H) → K'_1Polygon(F_3, G_3, H_3, K'_1) → q8'_1, f_6, g_5, h_5, k'_1Rotate(P_1, α°, H) → I_3Rotate(Q_1, α°, H) → J_3Rotate(V, α°, H) → V'_2Rotate(E_1, α°, H) → K_3Polygon(I_3, J_3, V'_2, K_3) → q9'_1, i_7, j_5, v'_2, k_4Rotate(F_1, α°, H) → M_3Rotate(V, α°, H) → V'_3Rotate(R_1, α°, H) → N_3Rotate(J_1, α°, H) → O_3Polygon(M_3, V'_3, N_3, O_3) → q10'_1, m_4, v'_3, n_6, o_4Rotate(L_1, ((2 * α))°, H) → L_4Rotate(L_3, ((2 * α))°, H) → L_5Rotate(W, ((2 * α))°, H) → W'_4Rotate(D_1, ((2 * α))°, H) → P_3Rotate(E_1, ((2 * α))°, H) → Q_3Rotate(F_1, ((2 * α))°, H) → R_3Rotate(G_1, ((2 * α))°, H) → S_3Rotate(H_1, ((2 * α))°, H) → T_3Polygon(W'_4, P_3, Q_3, R_3, S_3, T_3) → poly2'_2, w'_4, p_5, q_5, r_4, s_3, t_4Rotate(I_1, ((2 * α))°, H) → U_3Rotate(G_1, ((2 * α))°, H) → V_3Rotate(J_1, ((2 * α))°, H) → W_3Rotate(K_1, ((2 * α))°, H) → Z_3Polygon(U_3, V_3, W_3, Z_3) → q6'_2, u_3, v_4, w_4, z_4Rotate(N_1, ((2 * α))°, H) → A_4Rotate(W, ((2 * α))°, H) → W'_5Rotate(M_1, ((2 * α))°, H) → B_4Rotate(O_1, ((2 * α))°, H) → C_4Polygon(A_4, W'_5, B_4, C_4) → q7'_2, a_4, w'_5, b_5, c_7Rotate(N_1, ((2 * α))°, H) → D_4Rotate(H_1, ((2 * α))°, H) → E_4Rotate(I_1, ((2 * α))°, H) → F_4Rotate(K, ((2 * α))°, H) → K'_2Polygon(D_4, E_4, F_4, K'_2) → q8'_2, d_4, e_5, f_7, k'_2Rotate(P_1, ((2 * α))°, H) → G_4Rotate(Q_1, ((2 * α))°, H) → H_4Rotate(V, ((2 * α))°, H) → V'_4Rotate(E_1, ((2 * α))°, H) → I_4Polygon(G_4, H_4, V'_4, I_4) → q9'_2, g_6, h_6, v'_4, i_8Rotate(F_1, ((2 * α))°, H) → J_4Rotate(V, ((2 * α))°, H) → V'_5Rotate(R_1, ((2 * α))°, H) → K_4Rotate(J_1, ((2 * α))°, H) → M_4Polygon(J_4, V'_5, K_4, M_4) → q10'_2, j_6, v'_5, k_5, m_5Rotate(W'_2, ((2 * α))°, H) → N_4Rotate(R_2, ((2 * α))°, H) → O_4Rotate(S_2, ((2 * α))°, H) → P_4Rotate(T_2, ((2 * α))°, H) → Q_4Rotate(U_2, ((2 * α))°, H) → R_4Rotate(V_2, ((2 * α))°, H) → S_4Polygon(N_4, O_4, P_4, Q_4, R_4, S_4) → poly3, n_7, o_5, p_6, q_6, r_5, s_4Rotate(W_2, ((2 * α))°, H) → T_4Rotate(Z_2, ((2 * α))°, H) → U_4Rotate(A_3, ((2 * α))°, H) → V_4Rotate(B_3, ((2 * α))°, H) → W_4Polygon(T_4, U_4, V_4, W_4) → q11, t_5, u_4, v_5, w_5Rotate(C_3, ((2 * α))°, H) → Z_4Rotate(W'_3, ((2 * α))°, H) → A_5Rotate(D_3, ((2 * α))°, H) → B_5Rotate(E_3, ((2 * α))°, H) → C_5Polygon(Z_4, A_5, B_5, C_5) → q12, z_5, a_5, b_6, c_8Rotate(F_3, ((2 * α))°, H) → D_5Rotate(G_3, ((2 * α))°, H) → E_5Rotate(H_3, ((2 * α))°, H) → F_5Rotate(K'_1, ((2 * α))°, H) → G_5Polygon(D_5, E_5, F_5, G_5) → q13, d_5, e_6, f_8, g_7Rotate(I_3, ((2 * α))°, H) → H_5Rotate(J_3, ((2 * α))°, H) → I_5Rotate(V'_2, ((2 * α))°, H) → J_5Rotate(K_3, ((2 * α))°, H) → K_5Polygon(H_5, I_5, J_5, K_5) → q14, h_7, i_9, j_7, k_6Rotate(M_3, ((2 * α))°, H) → M_5Rotate(V'_3, ((2 * α))°, H) → N_5Rotate(N_3, ((2 * α))°, H) → O_5Rotate(O_3, ((2 * α))°, H) → P_5Polygon(M_5, N_5, O_5, P_5) → q15, m_6, n_8, o_6, p_7Rotate(L_1, ((4 * α))°, H) → L_6Rotate(L_3, ((4 * α))°, H) → L_7Rotate(L_4, ((4 * α))°, H) → L_8Rotate(L_5, ((4 * α))°, H) → L_9Rotate(W, ((4 * α))°, H) → W'_6Rotate(D_1, ((4 * α))°, H) → Q_5Rotate(E_1, ((4 * α))°, H) → R_5Rotate(F_1, ((4 * α))°, H) → S_5Rotate(G_1, ((4 * α))°, H) → T_5Rotate(H_1, ((4 * α))°, H) → U_5Polygon(W'_6, Q_5, R_5, S_5, T_5, U_5) → poly2'_3, w'_6, q_7, r_6, s_5, t_6, u_5Rotate(I_1, ((4 * α))°, H) → V_5Rotate(G_1, ((4 * α))°, H) → W_5Rotate(J_1, ((4 * α))°, H) → Z_5Rotate(K_1, ((4 * α))°, H) → A_6Polygon(V_5, W_5, Z_5, A_6) → q6'_3, v_6, w_6, z_6, a_6Rotate(N_1, ((4 * α))°, H) → B_6Rotate(W, ((4 * α))°, H) → W'_7Rotate(M_1, ((4 * α))°, H) → C_6Rotate(O_1, ((4 * α))°, H) → D_6Polygon(B_6, W'_7, C_6, D_6) → q7'_3, b_7, w'_7, c_9, d_6Rotate(N_1, ((4 * α))°, H) → E_6Rotate(H_1, ((4 * α))°, H) → F_6Rotate(I_1, ((4 * α))°, H) → G_6Rotate(K, ((4 * α))°, H) → K'_3Polygon(E_6, F_6, G_6, K'_3) → q8'_3, e_7, f_9, g_8, k'_3Rotate(P_1, ((4 * α))°, H) → H_6Rotate(Q_1, ((4 * α))°, H) → I_6Rotate(V, ((4 * α))°, H) → V'_6Rotate(E_1, ((4 * α))°, H) → J_6Polygon(H_6, I_6, V'_6, J_6) → q9'_3, h_8, i_{10}, v'_6, j_8Rotate(F_1, ((4 * α))°, H) → K_6Rotate(V, ((4 * α))°, H) → V'_7Rotate(R_1, ((4 * α))°, H) → M_6Rotate(J_1, ((4 * α))°, H) → N_6Polygon(K_6, V'_7, M_6, N_6) → q10'_3, k_7, v'_7, m_7, n_9Rotate(W'_2, ((4 * α))°, H) → O_6Rotate(R_2, ((4 * α))°, H) → P_6Rotate(S_2, ((4 * α))°, H) → Q_6Rotate(T_2, ((4 * α))°, H) → R_6Rotate(U_2, ((4 * α))°, H) → S_6Rotate(V_2, ((4 * α))°, H) → T_6Polygon(O_6, P_6, Q_6, R_6, S_6, T_6) → poly4, o_7, p_8, q_8, r_7, s_6, t_7Rotate(W_2, ((4 * α))°, H) → U_6Rotate(Z_2, ((4 * α))°, H) → V_6Rotate(A_3, ((4 * α))°, H) → W_6Rotate(B_3, ((4 * α))°, H) → Z_6Polygon(U_6, V_6, W_6, Z_6) → q16, u_6, v_7, w_7, z_7Rotate(C_3, ((4 * α))°, H) → A_7Rotate(W'_3, ((4 * α))°, H) → B_7Rotate(D_3, ((4 * α))°, H) → C_7Rotate(E_3, ((4 * α))°, H) → D_7Polygon(A_7, B_7, C_7, D_7) → q17, a_7, b_8, c_{10}, d_7Rotate(F_3, ((4 * α))°, H) → E_7Rotate(G_3, ((4 * α))°, H) → F_7Rotate(H_3, ((4 * α))°, H) → G_7Rotate(K'_1, ((4 * α))°, H) → H_7Polygon(E_7, F_7, G_7, H_7) → q18, e_8, f_{10}, g_9, h_9Rotate(I_3, ((4 * α))°, H) → I_7Rotate(J_3, ((4 * α))°, H) → J_7Rotate(V'_2, ((4 * α))°, H) → K_7Rotate(K_3, ((4 * α))°, H) → M_7Polygon(I_7, J_7, K_7, M_7) → q19, i_{11}, j_9, k_8, m_8Rotate(M_3, ((4 * α))°, H) → N_7Rotate(V'_3, ((4 * α))°, H) → O_7Rotate(N_3, ((4 * α))°, H) → P_7Rotate(O_3, ((4 * α))°, H) → Q_7Polygon(N_7, O_7, P_7, Q_7) → q20, n_{10}, o_8, p_9, q_9Rotate(W'_4, ((4 * α))°, H) → R_7Rotate(P_3, ((4 * α))°, H) → S_7Rotate(Q_3, ((4 * α))°, H) → T_7Rotate(R_3, ((4 * α))°, H) → U_7Rotate(S_3, ((4 * α))°, H) → V_7Rotate(T_3, ((4 * α))°, H) → W_7Polygon(R_7, S_7, T_7, U_7, V_7, W_7) → poly5, r_8, s_7, t_8, u_7, v_8, w_8Rotate(U_3, ((4 * α))°, H) → Z_7Rotate(V_3, ((4 * α))°, H) → A_8Rotate(W_3, ((4 * α))°, H) → B_8Rotate(Z_3, ((4 * α))°, H) → C_8Polygon(Z_7, A_8, B_8, C_8) → q21, z_8, a_8, b_9, c_{11}Rotate(A_4, ((4 * α))°, H) → D_8Rotate(W'_5, ((4 * α))°, H) → E_8Rotate(B_4, ((4 * α))°, H) → F_8Rotate(C_4, ((4 * α))°, H) → G_8Polygon(D_8, E_8, F_8, G_8) → q22, d_8, e_9, f_{11}, g_{10}Rotate(D_4, ((4 * α))°, H) → H_8Rotate(E_4, ((4 * α))°, H) → I_8Rotate(F_4, ((4 * α))°, H) → J_8Rotate(K'_2, ((4 * α))°, H) → K_8Polygon(H_8, I_8, J_8, K_8) → q23, h_{10}, i_{12}, j_{10}, k_9Rotate(G_4, ((4 * α))°, H) → M_8Rotate(H_4, ((4 * α))°, H) → N_8Rotate(V'_4, ((4 * α))°, H) → O_8Rotate(I_4, ((4 * α))°, H) → P_8Polygon(M_8, N_8, O_8, P_8) → q24, m_9, n_{11}, o_9, p_{10}Rotate(J_4, ((4 * α))°, H) → Q_8Rotate(V'_5, ((4 * α))°, H) → R_8Rotate(K_4, ((4 * α))°, H) → S_8Rotate(M_4, ((4 * α))°, H) → T_8Polygon(Q_8, R_8, S_8, T_8) → q25, q_{10}, r_9, s_8, t_9Rotate(N_4, ((4 * α))°, H) → U_8Rotate(O_4, ((4 * α))°, H) → V_8Rotate(P_4, ((4 * α))°, H) → W_8Rotate(Q_4, ((4 * α))°, H) → Z_8Rotate(R_4, ((4 * α))°, H) → A_9Rotate(S_4, ((4 * α))°, H) → B_9Polygon(U_8, V_8, W_8, Z_8, A_9, B_9) → poly3', u_8, v_9, w_9, z_9, a_9, b_{10}Rotate(T_4, ((4 * α))°, H) → C_9Rotate(U_4, ((4 * α))°, H) → D_9Rotate(V_4, ((4 * α))°, H) → E_9Rotate(W_4, ((4 * α))°, H) → F_9Polygon(C_9, D_9, E_9, F_9) → q11', c_{12}, d_9, e_{10}, f_{12}Rotate(Z_4, ((4 * α))°, H) → G_9Rotate(A_5, ((4 * α))°, H) → H_9Rotate(B_5, ((4 * α))°, H) → I_9Rotate(C_5, ((4 * α))°, H) → J_9Polygon(G_9, H_9, I_9, J_9) → q12', g_{11}, h_{11}, i_{13}, j_{11}Rotate(D_5, ((4 * α))°, H) → K_9Rotate(E_5, ((4 * α))°, H) → M_9Rotate(F_5, ((4 * α))°, H) → N_9Rotate(G_5, ((4 * α))°, H) → O_9Polygon(K_9, M_9, N_9, O_9) → q13', k_{10}, m_{10}, n_{12}, o_{10}Rotate(H_5, ((4 * α))°, H) → P_9Rotate(I_5, ((4 * α))°, H) → Q_9Rotate(J_5, ((4 * α))°, H) → R_9Rotate(K_5, ((4 * α))°, H) → S_9Polygon(P_9, Q_9, R_9, S_9) → q14', p_{11}, q_{11}, r_{10}, s_9Rotate(M_5, ((4 * α))°, H) → T_9Rotate(N_5, ((4 * α))°, H) → U_9Rotate(O_5, ((4 * α))°, H) → V_9Rotate(P_5, ((4 * α))°, H) → W_9Polygon(T_9, U_9, V_9, W_9) → q15', t_{10}, u_9, v_{10}, w_{10}Rotate(L_1, (-(((4 * α))°)), H) → L_{10}Rotate(L_3, (-(((4 * α))°)), H) → L_{11}Rotate(L_4, (-(((4 * α))°)), H) → L_{12}Rotate(L_5, (-(((4 * α))°)), H) → L_{13}Rotate(L_6, (-(((4 * α))°)), H) → L_{14}Rotate(W, (-(((4 * α))°)), H) → W'_8Rotate(D_1, (-(((4 * α))°)), H) → A_{10}Rotate(E_1, (-(((4 * α))°)), H) → B_{10}Rotate(F_1, (-(((4 * α))°)), H) → C_{10}Rotate(G_1, (-(((4 * α))°)), H) → D_{10}Rotate(H_1, (-(((4 * α))°)), H) → E_{10}Polygon(W'_8, A_{10}, B_{10}, C_{10}, D_{10}, E_{10}) → poly2'_4, w'_8, a_{10}, b_{11}, c_{13}, d_{10}, e_{11}Rotate(I_1, (-(((4 * α))°)), H) → F_{10}Rotate(G_1, (-(((4 * α))°)), H) → G_{10}Rotate(J_1, (-(((4 * α))°)), H) → H_{10}Rotate(K_1, (-(((4 * α))°)), H) → I_{10}Polygon(F_{10}, G_{10}, H_{10}, I_{10}) → q6'_4, f_{13}, g_{12}, h_{12}, i_{14}Rotate(N_1, (-(((4 * α))°)), H) → J_{10}Rotate(W, (-(((4 * α))°)), H) → W'_9Rotate(M_1, (-(((4 * α))°)), H) → K_{10}Rotate(O_1, (-(((4 * α))°)), H) → M_{10}Polygon(J_{10}, W'_9, K_{10}, M_{10}) → q7'_4, j_{12}, w'_9, k_{11}, m_{11}Rotate(N_1, (-(((4 * α))°)), H) → N_{10}Rotate(H_1, (-(((4 * α))°)), H) → O_{10}Rotate(I_1, (-(((4 * α))°)), H) → P_{10}Rotate(K, (-(((4 * α))°)), H) → K'_4Polygon(N_{10}, O_{10}, P_{10}, K'_4) → q8'_4, n_{13}, o_{11}, p_{12}, k'_4Rotate(P_1, (-(((4 * α))°)), H) → Q_{10}Rotate(Q_1, (-(((4 * α))°)), H) → R_{10}Rotate(V, (-(((4 * α))°)), H) → V'_8Rotate(E_1, (-(((4 * α))°)), H) → S_{10}Polygon(Q_{10}, R_{10}, V'_8, S_{10}) → q9'_4, q_{12}, r_{11}, v'_8, s_{10}Rotate(F_1, (-(((4 * α))°)), H) → T_{10}Rotate(V, (-(((4 * α))°)), H) → V'_9Rotate(R_1, (-(((4 * α))°)), H) → U_{10}Rotate(J_1, (-(((4 * α))°)), H) → V_{10}Polygon(T_{10}, V'_9, U_{10}, V_{10}) → q10'_4, t_{11}, v'_9, u_{10}, v_{11}Rotate(W'_2, (-(((4 * α))°)), H) → W_{10}Rotate(R_2, (-(((4 * α))°)), H) → Z_{10}Rotate(S_2, (-(((4 * α))°)), H) → A_{11}Rotate(T_2, (-(((4 * α))°)), H) → B_{11}Rotate(U_2, (-(((4 * α))°)), H) → C_{11}Rotate(V_2, (-(((4 * α))°)), H) → D_{11}Polygon(W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}) → poly6, w_{11}, z_{10}, a_{11}, b_{12}, c_{14}, d_{11}Rotate(W_2, (-(((4 * α))°)), H) → E_{11}Rotate(Z_2, (-(((4 * α))°)), H) → F_{11}Rotate(A_3, (-(((4 * α))°)), H) → G_{11}Rotate(B_3, (-(((4 * α))°)), H) → H_{11}Polygon(E_{11}, F_{11}, G_{11}, H_{11}) → q26, e_{12}, f_{14}, g_{13}, h_{13}Rotate(C_3, (-(((4 * α))°)), H) → I_{11}Rotate(W'_3, (-(((4 * α))°)), H) → J_{11}Rotate(D_3, (-(((4 * α))°)), H) → K_{11}Rotate(E_3, (-(((4 * α))°)), H) → M_{11}Polygon(I_{11}, J_{11}, K_{11}, M_{11}) → q27, i_{15}, j_{13}, k_{12}, m_{12}Rotate(F_3, (-(((4 * α))°)), H) → N_{11}Rotate(G_3, (-(((4 * α))°)), H) → O_{11}Rotate(H_3, (-(((4 * α))°)), H) → P_{11}Rotate(K'_1, (-(((4 * α))°)), H) → Q_{11}Polygon(N_{11}, O_{11}, P_{11}, Q_{11}) → q28, n_{14}, o_{12}, p_{13}, q_{13}Rotate(I_3, (-(((4 * α))°)), H) → R_{11}Rotate(J_3, (-(((4 * α))°)), H) → S_{11}Rotate(V'_2, (-(((4 * α))°)), H) → T_{11}Rotate(K_3, (-(((4 * α))°)), H) → U_{11}Polygon(R_{11}, S_{11}, T_{11}, U_{11}) → q29, r_{12}, s_{11}, t_{12}, u_{11}Rotate(M_3, (-(((4 * α))°)), H) → V_{11}Rotate(V'_3, (-(((4 * α))°)), H) → W_{11}Rotate(N_3, (-(((4 * α))°)), H) → Z_{11}Rotate(O_3, (-(((4 * α))°)), H) → A_{12}Polygon(V_{11}, W_{11}, Z_{11}, A_{12}) → q30, v_{12}, w_{12}, z_{11}, a_{12}Rotate(W'_4, (-(((4 * α))°)), H) → B_{12}Rotate(P_3, (-(((4 * α))°)), H) → C_{12}Rotate(Q_3, (-(((4 * α))°)), H) → D_{12}Rotate(R_3, (-(((4 * α))°)), H) → E_{12}Rotate(S_3, (-(((4 * α))°)), H) → F_{12}Rotate(T_3, (-(((4 * α))°)), H) → G_{12}Polygon(B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}) → poly7, b_{13}, c_{15}, d_{12}, e_{13}, f_{15}, g_{14}Rotate(U_3, (-(((4 * α))°)), H) → H_{12}Rotate(V_3, (-(((4 * α))°)), H) → I_{12}Rotate(W_3, (-(((4 * α))°)), H) → J_{12}Rotate(Z_3, (-(((4 * α))°)), H) → K_{12}Polygon(H_{12}, I_{12}, J_{12}, K_{12}) → q31, h_{14}, i_{16}, j_{14}, k_{13}Rotate(A_4, (-(((4 * α))°)), H) → M_{12}Rotate(W'_5, (-(((4 * α))°)), H) → N_{12}Rotate(B_4, (-(((4 * α))°)), H) → O_{12}Rotate(C_4, (-(((4 * α))°)), H) → P_{12}Polygon(M_{12}, N_{12}, O_{12}, P_{12}) → q32, m_{13}, n_{15}, o_{13}, p_{14}Rotate(D_4, (-(((4 * α))°)), H) → Q_{12}Rotate(E_4, (-(((4 * α))°)), H) → R_{12}Rotate(F_4, (-(((4 * α))°)), H) → S_{12}Rotate(K'_2, (-(((4 * α))°)), H) → T_{12}Polygon(Q_{12}, R_{12}, S_{12}, T_{12}) → q33, q_{14}, r_{13}, s_{12}, t_{13}Rotate(G_4, (-(((4 * α))°)), H) → U_{12}Rotate(H_4, (-(((4 * α))°)), H) → V_{12}Rotate(V'_4, (-(((4 * α))°)), H) → W_{12}Rotate(I_4, (-(((4 * α))°)), H) → Z_{12}Polygon(U_{12}, V_{12}, W_{12}, Z_{12}) → q34, u_{12}, v_{13}, w_{13}, z_{12}Rotate(J_4, (-(((4 * α))°)), H) → A_{13}Rotate(V'_5, (-(((4 * α))°)), H) → B_{13}Rotate(K_4, (-(((4 * α))°)), H) → C_{13}Rotate(M_4, (-(((4 * α))°)), H) → D_{13}Polygon(A_{13}, B_{13}, C_{13}, D_{13}) → q35, a_{13}, b_{14}, c_{16}, d_{13}Rotate(N_4, (-(((4 * α))°)), H) → E_{13}Rotate(O_4, (-(((4 * α))°)), H) → F_{13}Rotate(P_4, (-(((4 * α))°)), H) → G_{13}Rotate(Q_4, (-(((4 * α))°)), H) → H_{13}Rotate(R_4, (-(((4 * α))°)), H) → I_{13}Rotate(S_4, (-(((4 * α))°)), H) → J_{13}Polygon(E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}) → poly3'_1, e_{14}, f_{16}, g_{15}, h_{15}, i_{17}, j_{15}Rotate(T_4, (-(((4 * α))°)), H) → K_{13}Rotate(U_4, (-(((4 * α))°)), H) → M_{13}Rotate(V_4, (-(((4 * α))°)), H) → N_{13}Rotate(W_4, (-(((4 * α))°)), H) → O_{13}Polygon(K_{13}, M_{13}, N_{13}, O_{13}) → q11'_1, k_{14}, m_{14}, n_{16}, o_{14}Rotate(Z_4, (-(((4 * α))°)), H) → P_{13}Rotate(A_5, (-(((4 * α))°)), H) → Q_{13}Rotate(B_5, (-(((4 * α))°)), H) → R_{13}Rotate(C_5, (-(((4 * α))°)), H) → S_{13}Polygon(P_{13}, Q_{13}, R_{13}, S_{13}) → q12'_1, p_{15}, q_{15}, r_{14}, s_{13}Rotate(D_5, (-(((4 * α))°)), H) → T_{13}Rotate(E_5, (-(((4 * α))°)), H) → U_{13}Rotate(F_5, (-(((4 * α))°)), H) → V_{13}Rotate(G_5, (-(((4 * α))°)), H) → W_{13}Polygon(T_{13}, U_{13}, V_{13}, W_{13}) → q13'_1, t_{14}, u_{13}, v_{14}, w_{14}Rotate(H_5, (-(((4 * α))°)), H) → Z_{13}Rotate(I_5, (-(((4 * α))°)), H) → A_{14}Rotate(J_5, (-(((4 * α))°)), H) → B_{14}Rotate(K_5, (-(((4 * α))°)), H) → C_{14}Polygon(Z_{13}, A_{14}, B_{14}, C_{14}) → q14'_1, z_{13}, a_{14}, b_{15}, c_{17}Rotate(M_5, (-(((4 * α))°)), H) → D_{14}Rotate(N_5, (-(((4 * α))°)), H) → E_{14}Rotate(O_5, (-(((4 * α))°)), H) → F_{14}Rotate(P_5, (-(((4 * α))°)), H) → G_{14}Polygon(D_{14}, E_{14}, F_{14}, G_{14}) → q15'_1, d_{14}, e_{15}, f_{17}, g_{16}Rotate(W'_6, (-(((4 * α))°)), H) → H_{14}Rotate(Q_5, (-(((4 * α))°)), H) → I_{14}Rotate(R_5, (-(((4 * α))°)), H) → J_{14}Rotate(S_5, (-(((4 * α))°)), H) → K_{14}Rotate(T_5, (-(((4 * α))°)), H) → M_{14}Rotate(U_5, (-(((4 * α))°)), H) → N_{14}Polygon(H_{14}, I_{14}, J_{14}, K_{14}, M_{14}, N_{14}) → poly8, h_{16}, i_{18}, j_{16}, k_{15}, m_{15}, n_{17}Rotate(V_5, (-(((4 * α))°)), H) → O_{14}Rotate(W_5, (-(((4 * α))°)), H) → P_{14}Rotate(Z_5, (-(((4 * α))°)), H) → Q_{14}Rotate(A_6, (-(((4 * α))°)), H) → R_{14}Polygon(O_{14}, P_{14}, Q_{14}, R_{14}) → q36, o_{15}, p_{16}, q_{16}, r_{15}Rotate(B_6, (-(((4 * α))°)), H) → S_{14}Rotate(W'_7, (-(((4 * α))°)), H) → T_{14}Rotate(C_6, (-(((4 * α))°)), H) → U_{14}Rotate(D_6, (-(((4 * α))°)), H) → V_{14}Polygon(S_{14}, T_{14}, U_{14}, V_{14}) → q37, s_{14}, t_{15}, u_{14}, v_{15}Rotate(E_6, (-(((4 * α))°)), H) → W_{14}Rotate(F_6, (-(((4 * α))°)), H) → Z_{14}Rotate(G_6, (-(((4 * α))°)), H) → A_{15}Rotate(K'_3, (-(((4 * α))°)), H) → B_{15}Polygon(W_{14}, Z_{14}, A_{15}, B_{15}) → q38, w_{15}, z_{14}, a_{15}, b_{16}Rotate(H_6, (-(((4 * α))°)), H) → C_{15}Rotate(I_6, (-(((4 * α))°)), H) → D_{15}Rotate(V'_6, (-(((4 * α))°)), H) → E_{15}Rotate(J_6, (-(((4 * α))°)), H) → F_{15}Polygon(C_{15}, D_{15}, E_{15}, F_{15}) → q39, c_{18}, d_{15}, e_{16}, f_{18}Rotate(K_6, (-(((4 * α))°)), H) → G_{15}Rotate(V'_7, (-(((4 * α))°)), H) → H_{15}Rotate(M_6, (-(((4 * α))°)), H) → I_{15}Rotate(N_6, (-(((4 * α))°)), H) → J_{15}Polygon(G_{15}, H_{15}, I_{15}, J_{15}) → q40, g_{17}, h_{17}, i_{19}, j_{17}Rotate(U_6, (-(((4 * α))°)), H) → K_{15}Rotate(V_6, (-(((4 * α))°)), H) → L_{15}Rotate(W_6, (-(((4 * α))°)), H) → M_{15}Rotate(Z_6, (-(((4 * α))°)), H) → N_{15}Polygon(K_{15}, L_{15}, M_{15}, N_{15}) → q16', k_{16}, l_{15}, m_{16}, n_{18}Rotate(N_7, (-(((4 * α))°)), H) → O_{15}Rotate(O_7, (-(((4 * α))°)), H) → P_{15}Rotate(P_7, (-(((4 * α))°)), H) → Q_{15}Rotate(Q_7, (-(((4 * α))°)), H) → R_{15}Polygon(O_{15}, P_{15}, Q_{15}, R_{15}) → q20', o_{16}, p_{17}, q_{17}, r_{16}Rotate(Q_6, (-(((4 * α))°)), H) → S_{15}Rotate(R_6, (-(((4 * α))°)), H) → T_{15}Segment(S_{15}, T_{15}) → pRotate(R_6, (-(((4 * α))°)), H) → U_{15}Rotate(S_6, (-(((4 * α))°)), H) → V_{15}Segment(U_{15}, V_{15}) → aRotate(S_6, (-(((4 * α))°)), H) → W_{15}Rotate(T_6, (-(((4 * α))°)), H) → Z_{15}Segment(W_{15}, Z_{15}) → l_3Rotate(F_7, (-(((4 * α))°)), H) → A_{16}Rotate(G_7, (-(((4 * α))°)), H) → B_{16}Segment(A_{16}, B_{16}) → l_4Rotate(G_7, (-(((4 * α))°)), H) → C_{16}Rotate(H_7, (-(((4 * α))°)), H) → D_{16}Segment(C_{16}, D_{16}) → l_5Rotate(J_7, (-(((4 * α))°)), H) → E_{16}Rotate(K_7, (-(((4 * α))°)), H) → F_{16}Segment(E_{16}, F_{16}) → l_6Rotate(K_7, (-(((4 * α))°)), H) → G_{16}Rotate(M_7, (-(((4 * α))°)), H) → H_{16}Segment(G_{16}, H_{16}) → l_7Polygon(K'_3, C_5, B_5) → t1, b_{17}, k'_5, c_{19}Polygon(U_5, B_5, T_5) → t2, t_{16}, u_{15}, b_{18}Polygon(S_5, T_5, H_5) → t3, h_{18}, s_{15}, t_{17}Polygon(S_5, R_5, V'_6) → t4, v'_{10}, s_{16}, r_{17}Polygon(R_5, H_6, Q_5) → t5, q_{18}, r_{18}, h_{19}Polygon(Q_5, W'_6, C_6) → t6, c_{20}, q_{19}, w'_{10}Polygon(W'_6, U_5, B_6) → t7, b_{19}, w'_{11}, u_{16}Polygon(H_5, I_5, M_6) → t8, m_{17}, h_{20}, i_{20}Polygon(D_6, H_7, C_6) → t9, c_{21}, d_{16}, h_{21}Polygon(H_6, I_6, P_7) → t10, p_{18}, h_{22}, i_{21}Polygon(O_5, H_4, G_4) → t11, g_{18}, o_{17}, h_{23}Polygon(B_4, C_4, G_5) → t12, g_{19}, b_{20}, c_{22}Polygon(P_4, Q_4, J_5) → t13, j_{18}, p_{19}, q_{20}Polygon(P_4, H_5, O_4) → t14, o_{18}, p_{20}, h_{24}Polygon(Q_4, G_4, R_4) → t15, r_{19}, q_{21}, g_{20}Polygon(R_4, B_4, S_4) → t16, s_{17}, r_{20}, b_{21}Polygon(O_4, N_4, B_5) → t17, b_{22}, o_{19}, n_{19}Polygon(Z_4, S_4, N_4) → t18, n_{20}, z_{15}, s_{18}Polygon(R_6, H_6, S_6) → t19, s_{19}, r_{21}, h_{25}Polygon(R_6, Q_6, K_7) → t20, k_{17}, r_{22}, q_{22}Polygon(S_6, C_6, T_6) → t21, t_{18}, s_{20}, c_{23}Polygon(T_6, A_7, O_6) → t22, o_{20}, t_{19}, a_{16}Polygon(O_6, C_7, P_6) → t23, p_{21}, o_{21}, c_{24}Polygon(P_6, Q_6, I_7) → t24, i_{22}, p_{22}, q_{23}Vector(C, M) → u_1Translate(C_1, u_1) → S_1Translate(P, u_1) → P'Translate(B_1, u_1) → U_1Translate(C, u_1) → C'Polygon(S_1, P', U_1, C') → q5', s_{21}, p', u_{17}, c'Rotate(W, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W'Rotate(D_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_1Rotate(E_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_1Rotate(F_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_1Rotate(G_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_1Rotate(H_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_2Polygon(W', T_1, V_1, W_1, Z_1, A_2) → poly2', w', t_2, v_2, w_2, z_2, a_2Rotate(I_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_2Rotate(G_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_2Rotate(J_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_2Rotate(K_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_2Polygon(B_2, C_2, D_2, E_2) → q6', b_3, c_5, d_1, e_3Rotate(N_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_2Rotate(W, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W'_1Rotate(M_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_2Rotate(O_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_2Polygon(F_2, W'_1, G_2, H_2) → q7', f_5, w'_1, g_4, h_4Rotate(N_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_2Rotate(H_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_2Rotate(I_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_2Rotate(K, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K'Polygon(I_2, J_2, K_2, K') → q8', i_6, j_4, k_3, k'Rotate(P_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_2Rotate(Q_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_2Rotate(V, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V'Rotate(E_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_2Polygon(M_2, N_2, V', O_2) → q9', m_3, n_5, v', o_3Rotate(F_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_2Rotate(V, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V'_1Rotate(R_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_2Rotate(J_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_9Polygon(P_2, V'_1, Q_2, Z_9) → q10', p_4, v'_1, q_4, z_{16}Rotate(W'_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{16}Rotate(R_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{16}Rotate(S_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{16}Rotate(T_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{16}Rotate(U_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{16}Rotate(V_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{16}Polygon(I_{16}, J_{16}, K_{16}, L_{16}, M_{16}, N_{16}) → poly9, i_{23}, j_{19}, k_{18}, l_{16}, m_{18}, n_{21}Rotate(W_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{16}Rotate(Z_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{16}Rotate(A_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{16}Rotate(B_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{16}Polygon(O_{16}, P_{16}, Q_{16}, R_{16}) → q41, o_{22}, p_{23}, q_{24}, r_{23}Rotate(C_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{16}Rotate(W'_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{16}Rotate(D_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{16}Rotate(E_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{16}Polygon(S_{16}, T_{16}, U_{16}, V_{16}) → q42, s_{22}, t_{20}, u_{18}, v_{16}Rotate(F_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{16}Rotate(G_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{16}Rotate(H_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{17}Rotate(K'_1, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{17}Polygon(W_{16}, Z_{16}, A_{17}, B_{17}) → q43, w_{16}, z_{17}, a_{17}, b_{23}Rotate(I_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{17}Rotate(J_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{17}Rotate(V'_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{17}Rotate(K_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{17}Polygon(C_{17}, D_{17}, E_{17}, F_{17}) → q44, c_{25}, d_{17}, e_{17}, f_{19}Rotate(M_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{17}Rotate(V'_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{17}Rotate(N_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{17}Rotate(O_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{17}Polygon(G_{17}, H_{17}, I_{17}, J_{17}) → q45, g_{21}, h_{26}, i_{24}, j_{20}Rotate(W'_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{17}Rotate(P_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{17}Rotate(Q_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{17}Rotate(R_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{17}Rotate(S_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{17}Rotate(T_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{17}Polygon(K_{17}, L_{17}, M_{17}, N_{17}, O_{17}, P_{17}) → poly10, k_{19}, l_{17}, m_{19}, n_{22}, o_{23}, p_{24}Rotate(U_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{17}Rotate(V_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{17}Rotate(W_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{17}Rotate(Z_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{17}Polygon(Q_{17}, R_{17}, S_{17}, T_{17}) → q46, q_{25}, r_{24}, s_{23}, t_{21}Rotate(A_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{17}Rotate(W'_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{17}Rotate(B_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{17}Rotate(C_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{17}Polygon(U_{17}, V_{17}, W_{17}, Z_{17}) → q47, u_{19}, v_{17}, w_{17}, z_{18}Rotate(D_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{18}Rotate(E_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{18}Rotate(F_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{18}Rotate(K'_2, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{18}Polygon(A_{18}, B_{18}, C_{18}, D_{18}) → q48, a_{18}, b_{24}, c_{26}, d_{18}Rotate(G_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{18}Rotate(H_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{18}Rotate(V'_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{18}Rotate(I_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{18}Polygon(E_{18}, F_{18}, G_{18}, H_{18}) → q49, e_{18}, f_{20}, g_{22}, h_{27}Rotate(J_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{18}Rotate(V'_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{18}Rotate(K_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{18}Rotate(M_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{18}Polygon(I_{18}, J_{18}, K_{18}, L_{18}) → q50, i_{25}, j_{21}, k_{20}, l_{18}Rotate(N_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{18}Rotate(O_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{18}Rotate(P_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{18}Rotate(Q_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{18}Rotate(R_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{18}Rotate(S_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{18}Polygon(M_{18}, N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}) → poly3'_2, m_{20}, n_{23}, o_{24}, p_{25}, q_{26}, r_{25}Rotate(T_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{18}Rotate(U_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{18}Rotate(V_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{18}Rotate(W_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{18}Polygon(S_{18}, T_{18}, U_{18}, V_{18}) → q11'_2, s_{24}, t_{22}, u_{20}, v_{18}Rotate(Z_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{18}Rotate(A_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{18}Rotate(B_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{19}Rotate(C_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{19}Polygon(W_{18}, Z_{18}, A_{19}, B_{19}) → q12'_2, w_{18}, z_{19}, a_{19}, b_{25}Rotate(D_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{19}Rotate(E_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{19}Rotate(F_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{19}Rotate(G_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{19}Polygon(C_{19}, D_{19}, E_{19}, F_{19}) → q13'_2, c_{27}, d_{19}, e_{19}, f_{21}Rotate(H_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{19}Rotate(I_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{19}Rotate(J_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{19}Rotate(K_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{19}Polygon(G_{19}, H_{19}, I_{19}, J_{19}) → q14'_2, g_{23}, h_{28}, i_{26}, j_{22}Rotate(M_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{19}Rotate(N_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{19}Rotate(O_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{19}Rotate(P_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{19}Polygon(K_{19}, L_{19}, M_{19}, N_{19}) → q15'_2, k_{21}, l_{19}, m_{21}, n_{24}Rotate(W'_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{19}Rotate(Q_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{19}Rotate(R_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{19}Rotate(S_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{19}Rotate(T_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{19}Rotate(U_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{19}Polygon(O_{19}, P_{19}, Q_{19}, R_{19}, S_{19}, T_{19}) → poly11, o_{25}, p_{26}, q_{27}, r_{26}, s_{25}, t_{23}Rotate(V_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{19}Rotate(W_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{19}Rotate(Z_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{19}Rotate(A_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{19}Polygon(U_{19}, V_{19}, W_{19}, Z_{19}) → q51, u_{21}, v_{19}, w_{19}, z_{20}Rotate(B_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{20}Rotate(W'_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{20}Rotate(C_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{20}Rotate(D_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{20}Polygon(A_{20}, B_{20}, C_{20}, D_{20}) → q52, a_{20}, b_{26}, c_{28}, d_{20}Rotate(E_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{20}Rotate(F_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{20}Rotate(G_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{20}Rotate(K'_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{20}Polygon(E_{20}, F_{20}, G_{20}, H_{20}) → q53, e_{20}, f_{22}, g_{24}, h_{29}Rotate(H_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{20}Rotate(I_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{20}Rotate(V'_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{20}Rotate(J_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{20}Polygon(I_{20}, J_{20}, K_{20}, L_{20}) → q54, i_{27}, j_{23}, k_{22}, l_{20}Rotate(K_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{20}Rotate(V'_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{20}Rotate(M_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{20}Rotate(N_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{20}Polygon(M_{20}, N_{20}, O_{20}, P_{20}) → q55, m_{22}, n_{25}, o_{26}, p_{27}Rotate(O_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{20}Rotate(P_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{20}Rotate(Q_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{20}Rotate(R_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{20}Rotate(S_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{20}Rotate(T_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{20}Polygon(Q_{20}, R_{20}, S_{20}, T_{20}, U_{20}, V_{20}) → poly4', q_{28}, r_{27}, s_{26}, t_{24}, u_{22}, v_{20}Rotate(U_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{20}Rotate(V_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{20}Rotate(W_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{21}Rotate(Z_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{21}Polygon(W_{20}, Z_{20}, A_{21}, B_{21}) → q16'_1, w_{20}, z_{21}, a_{21}, b_{27}Rotate(A_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{21}Rotate(B_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{21}Rotate(C_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{21}Rotate(D_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{21}Polygon(C_{21}, D_{21}, E_{21}, F_{21}) → q17', c_{29}, d_{21}, e_{21}, f_{23}Rotate(E_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{21}Rotate(F_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{21}Rotate(G_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{21}Rotate(H_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{21}Polygon(G_{21}, H_{21}, I_{21}, J_{21}) → q18', g_{25}, h_{30}, i_{28}, j_{24}Rotate(I_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{21}Rotate(J_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{21}Rotate(K_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{21}Rotate(M_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{21}Polygon(K_{21}, L_{21}, M_{21}, N_{21}) → q19', k_{23}, l_{21}, m_{23}, n_{26}Rotate(N_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{21}Rotate(O_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{21}Rotate(P_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{21}Rotate(Q_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{21}Polygon(O_{21}, P_{21}, Q_{21}, R_{21}) → q20'_1, o_{27}, p_{28}, q_{29}, r_{28}Rotate(R_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{21}Rotate(S_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{21}Rotate(T_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{21}Rotate(U_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{21}Rotate(V_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{21}Rotate(W_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{21}Polygon(S_{21}, T_{21}, U_{21}, V_{21}, W_{21}, Z_{21}) → poly5', s_{27}, t_{25}, u_{23}, v_{21}, w_{21}, z_{22}Rotate(Z_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{22}Rotate(A_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{22}Rotate(B_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{22}Rotate(C_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{22}Polygon(A_{22}, B_{22}, C_{22}, D_{22}) → q21', a_{22}, b_{28}, c_{30}, d_{22}Rotate(D_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{22}Rotate(E_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{22}Rotate(F_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{22}Rotate(G_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{22}Polygon(E_{22}, F_{22}, G_{22}, H_{22}) → q22', e_{22}, f_{24}, g_{26}, h_{31}Rotate(H_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{22}Rotate(I_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{22}Rotate(J_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{22}Rotate(K_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{22}Polygon(I_{22}, J_{22}, K_{22}, L_{22}) → q23', i_{29}, j_{25}, k_{24}, l_{22}Rotate(M_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{22}Rotate(N_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{22}Rotate(O_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{22}Rotate(P_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{22}Polygon(M_{22}, N_{22}, O_{22}, P_{22}) → q24', m_{24}, n_{27}, o_{28}, p_{29}Rotate(Q_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{22}Rotate(R_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{22}Rotate(S_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{22}Rotate(T_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{22}Polygon(Q_{22}, R_{22}, S_{22}, T_{22}) → q25', q_{30}, r_{29}, s_{28}, t_{26}Rotate(U_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{22}Rotate(V_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{22}Rotate(W_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{22}Rotate(Z_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{22}Rotate(A_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{23}Rotate(B_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{23}Polygon(U_{22}, V_{22}, W_{22}, Z_{22}, A_{23}, B_{23}) → poly3'', u_{24}, v_{22}, w_{22}, z_{23}, a_{23}, b_{29}Rotate(C_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{23}Rotate(D_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{23}Rotate(E_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{23}Rotate(F_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{23}Polygon(C_{23}, D_{23}, E_{23}, F_{23}) → q11'', c_{31}, d_{23}, e_{23}, f_{25}Rotate(G_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{23}Rotate(H_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{23}Rotate(I_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{23}Rotate(J_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{23}Polygon(G_{23}, H_{23}, I_{23}, J_{23}) → q12'', g_{27}, h_{32}, i_{30}, j_{26}Rotate(K_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{23}Rotate(M_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{23}Rotate(N_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{23}Rotate(O_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{23}Polygon(K_{23}, L_{23}, M_{23}, N_{23}) → q13'', k_{25}, l_{23}, m_{25}, n_{28}Rotate(P_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{23}Rotate(Q_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{23}Rotate(R_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{23}Rotate(S_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{23}Polygon(O_{23}, P_{23}, Q_{23}, R_{23}) → q14'', o_{29}, p_{30}, q_{31}, r_{30}Rotate(T_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{23}Rotate(U_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{23}Rotate(V_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{23}Rotate(W_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{23}Polygon(S_{23}, T_{23}, U_{23}, V_{23}) → q15'', s_{29}, t_{27}, u_{25}, v_{23}Rotate(W'_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{23}Rotate(A_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{23}Rotate(B_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{24}Rotate(C_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{24}Rotate(D_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{24}Rotate(E_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{24}Polygon(W_{23}, Z_{23}, A_{24}, B_{24}, C_{24}, D_{24}) → poly12, w_{23}, z_{24}, a_{24}, b_{30}, c_{32}, d_{24}Rotate(F_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{24}Rotate(G_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{24}Rotate(H_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{24}Rotate(I_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{24}Polygon(E_{24}, F_{24}, G_{24}, H_{24}) → q56, e_{24}, f_{26}, g_{28}, h_{33}Rotate(J_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{24}Rotate(W'_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{24}Rotate(K_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{24}Rotate(M_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{24}Polygon(I_{24}, J_{24}, K_{24}, L_{24}) → q57, i_{31}, j_{27}, k_{26}, l_{24}Rotate(N_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{24}Rotate(O_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{24}Rotate(P_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{24}Rotate(K'_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{24}Polygon(M_{24}, N_{24}, O_{24}, P_{24}) → q58, m_{26}, n_{29}, o_{30}, p_{31}Rotate(Q_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{24}Rotate(R_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{24}Rotate(V'_8, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{24}Rotate(S_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{24}Polygon(Q_{24}, R_{24}, S_{24}, T_{24}) → q59, q_{32}, r_{31}, s_{30}, t_{28}Rotate(T_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{24}Rotate(V'_9, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{24}Rotate(U_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{24}Rotate(V_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{24}Polygon(U_{24}, V_{24}, W_{24}, Z_{24}) → q60, u_{26}, v_{24}, w_{24}, z_{25}Rotate(W_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{25}Rotate(Z_{10}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{25}Rotate(A_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{25}Rotate(B_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{25}Rotate(C_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{25}Rotate(D_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{25}Polygon(A_{25}, B_{25}, C_{25}, D_{25}, E_{25}, F_{25}) → poly6', a_{25}, b_{31}, c_{33}, d_{25}, e_{25}, f_{27}Rotate(E_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{25}Rotate(F_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{25}Rotate(G_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{25}Rotate(H_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{25}Polygon(G_{25}, H_{25}, I_{25}, J_{25}) → q26', g_{29}, h_{34}, i_{32}, j_{28}Rotate(I_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{25}Rotate(J_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{25}Rotate(K_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{25}Rotate(M_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{25}Polygon(K_{25}, L_{25}, M_{25}, N_{25}) → q27', k_{27}, l_{25}, m_{27}, n_{30}Rotate(N_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{25}Rotate(O_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{25}Rotate(P_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{25}Rotate(Q_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{25}Polygon(O_{25}, P_{25}, Q_{25}, R_{25}) → q28', o_{31}, p_{32}, q_{33}, r_{32}Rotate(R_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{25}Rotate(S_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{25}Rotate(T_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{25}Rotate(U_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{25}Polygon(S_{25}, T_{25}, U_{25}, V_{25}) → q29', s_{31}, t_{29}, u_{27}, v_{25}Rotate(V_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{25}Rotate(W_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{25}Rotate(Z_{11}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{26}Rotate(A_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{26}Polygon(W_{25}, Z_{25}, A_{26}, B_{26}) → q30', w_{25}, z_{26}, a_{26}, b_{32}Rotate(B_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{26}Rotate(C_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{26}Rotate(D_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{26}Rotate(E_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{26}Rotate(F_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{26}Rotate(G_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{26}Polygon(C_{26}, D_{26}, E_{26}, F_{26}, G_{26}, H_{26}) → poly7', c_{34}, d_{26}, e_{26}, f_{28}, g_{30}, h_{35}Rotate(H_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{26}Rotate(I_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{26}Rotate(J_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{26}Rotate(K_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{26}Polygon(I_{26}, J_{26}, K_{26}, L_{26}) → q31', i_{33}, j_{29}, k_{28}, l_{26}Rotate(M_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{26}Rotate(N_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{26}Rotate(O_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{26}Rotate(P_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{26}Polygon(M_{26}, N_{26}, O_{26}, P_{26}) → q32', m_{28}, n_{31}, o_{32}, p_{33}Rotate(Q_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{26}Rotate(R_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{26}Rotate(S_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{26}Rotate(T_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{26}Polygon(Q_{26}, R_{26}, S_{26}, T_{26}) → q33', q_{34}, r_{33}, s_{32}, t_{30}Rotate(U_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{26}Rotate(V_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{26}Rotate(W_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{26}Rotate(Z_{12}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{26}Polygon(U_{26}, V_{26}, W_{26}, Z_{26}) → q34', u_{28}, v_{26}, w_{26}, z_{27}Rotate(A_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{27}Rotate(B_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{27}Rotate(C_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{27}Rotate(D_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{27}Polygon(A_{27}, B_{27}, C_{27}, D_{27}) → q35', a_{27}, b_{33}, c_{35}, d_{27}Rotate(E_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{27}Rotate(F_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{27}Rotate(G_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{27}Rotate(H_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{27}Rotate(I_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{27}Rotate(J_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{27}Polygon(E_{27}, F_{27}, G_{27}, H_{27}, I_{27}, J_{27}) → poly13, e_{27}, f_{29}, g_{31}, h_{36}, i_{34}, j_{30}Rotate(K_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{27}Rotate(M_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{27}Rotate(N_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{27}Rotate(O_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{27}Polygon(K_{27}, L_{27}, M_{27}, N_{27}) → q61, k_{29}, l_{27}, m_{29}, n_{32}Rotate(P_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{27}Rotate(Q_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{27}Rotate(R_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{27}Rotate(S_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{27}Polygon(O_{27}, P_{27}, Q_{27}, R_{27}) → q62, o_{33}, p_{34}, q_{35}, r_{34}Rotate(T_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{27}Rotate(U_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{27}Rotate(V_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{27}Rotate(W_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{27}Polygon(S_{27}, T_{27}, U_{27}, V_{27}) → q63, s_{33}, t_{31}, u_{29}, v_{27}Rotate(Z_{13}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{27}Rotate(A_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{27}Rotate(B_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{28}Rotate(C_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{28}Polygon(W_{27}, Z_{27}, A_{28}, B_{28}) → q64, w_{27}, z_{28}, a_{28}, b_{34}Rotate(D_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{28}Rotate(E_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{28}Rotate(F_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{28}Rotate(G_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{28}Polygon(C_{28}, D_{28}, E_{28}, F_{28}) → q65, c_{36}, d_{28}, e_{28}, f_{30}Rotate(H_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{28}Rotate(I_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{28}Rotate(J_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{28}Rotate(K_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{28}Rotate(M_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{28}Rotate(N_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{28}Polygon(G_{28}, H_{28}, I_{28}, J_{28}, K_{28}, L_{28}) → poly8', g_{32}, h_{37}, i_{35}, j_{31}, k_{30}, l_{28}Rotate(O_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{28}Rotate(P_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{28}Rotate(Q_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{28}Rotate(R_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{28}Polygon(M_{28}, N_{28}, O_{28}, P_{28}) → q36', m_{30}, n_{33}, o_{34}, p_{35}Rotate(S_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{28}Rotate(T_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{28}Rotate(U_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{28}Rotate(V_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{28}Polygon(Q_{28}, R_{28}, S_{28}, T_{28}) → q37', q_{36}, r_{35}, s_{34}, t_{32}Rotate(W_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{28}Rotate(Z_{14}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{28}Rotate(A_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{28}Rotate(B_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{28}Polygon(U_{28}, V_{28}, W_{28}, Z_{28}) → q38', u_{30}, v_{28}, w_{28}, z_{29}Rotate(C_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{29}Rotate(D_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{29}Rotate(E_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{29}Rotate(F_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{29}Polygon(A_{29}, B_{29}, C_{29}, D_{29}) → q39', a_{29}, b_{35}, c_{37}, d_{29}Rotate(G_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{29}Rotate(H_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{29}Rotate(I_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{29}Rotate(J_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{29}Polygon(E_{29}, F_{29}, G_{29}, H_{29}) → q40', e_{29}, f_{31}, g_{33}, h_{38}Rotate(K_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{29}Rotate(L_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{29}Rotate(M_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{29}Rotate(N_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{29}Polygon(I_{29}, J_{29}, K_{29}, L_{29}) → q16'', i_{36}, j_{32}, k_{31}, l_{29}Rotate(O_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{29}Rotate(P_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{29}Rotate(Q_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{29}Rotate(R_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{29}Polygon(M_{29}, N_{29}, O_{29}, P_{29}) → q20'', m_{31}, n_{34}, o_{35}, p_{36}Rotate(K'_3, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{29}Rotate(C_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{29}Rotate(B_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{29}Polygon(Q_{29}, R_{29}, S_{29}) → t1', s_{35}, q_{37}, r_{36}Rotate(U_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{29}Rotate(B_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{29}Rotate(T_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{29}Polygon(T_{29}, U_{29}, V_{29}) → t2', v_{29}, t_{33}, u_{31}Rotate(S_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{29}Rotate(T_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{29}Rotate(H_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{30}Polygon(W_{29}, Z_{29}, A_{30}) → t3', a_{30}, w_{29}, z_{30}Rotate(S_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{30}Rotate(R_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{30}Rotate(V'_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{30}Polygon(B_{30}, C_{30}, D_{30}) → t4', d_{30}, b_{36}, c_{38}Rotate(R_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{30}Rotate(H_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{30}Rotate(Q_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{30}Polygon(E_{30}, F_{30}, G_{30}) → t5', g_{34}, e_{30}, f_{32}Rotate(Q_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{30}Rotate(W'_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{30}Rotate(C_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{30}Polygon(H_{30}, I_{30}, J_{30}) → t6', j_{33}, h_{39}, i_{37}Rotate(W'_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{30}Rotate(U_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{30}Rotate(B_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{30}Polygon(K_{30}, L_{30}, M_{30}) → t7', m_{32}, k_{32}, l_{30}Rotate(H_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{30}Rotate(I_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{30}Rotate(M_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{30}Polygon(N_{30}, O_{30}, P_{30}) → t8', p_{37}, n_{35}, o_{36}Rotate(D_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{30}Rotate(H_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{30}Rotate(C_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{30}Polygon(Q_{30}, R_{30}, S_{30}) → t9', s_{36}, q_{38}, r_{37}Rotate(H_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{30}Rotate(I_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{30}Rotate(P_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{30}Polygon(T_{30}, U_{30}, V_{30}) → t10', v_{30}, t_{34}, u_{32}Rotate(O_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{30}Rotate(H_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{30}Rotate(G_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{31}Polygon(W_{30}, Z_{30}, A_{31}) → t11', a_{31}, w_{30}, z_{31}Rotate(B_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{31}Rotate(C_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{31}Rotate(G_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{31}Polygon(B_{31}, C_{31}, D_{31}) → t12', d_{31}, b_{37}, c_{39}Rotate(P_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{31}Rotate(Q_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{31}Rotate(J_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{31}Polygon(E_{31}, F_{31}, G_{31}) → t13', g_{35}, e_{31}, f_{33}Rotate(P_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{31}Rotate(H_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{31}Rotate(O_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{31}Polygon(H_{31}, I_{31}, J_{31}) → t14', j_{34}, h_{40}, i_{38}Rotate(Q_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{31}Rotate(G_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{31}Rotate(R_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{31}Polygon(K_{31}, L_{31}, M_{31}) → t15', m_{33}, k_{33}, l_{31}Rotate(R_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{31}Rotate(B_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{31}Rotate(S_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{31}Polygon(N_{31}, O_{31}, P_{31}) → t16', p_{38}, n_{36}, o_{37}Rotate(O_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{31}Rotate(N_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{31}Rotate(B_5, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{31}Polygon(Q_{31}, R_{31}, S_{31}) → t17', s_{37}, q_{39}, r_{38}Rotate(Z_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{31}Rotate(S_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{31}Rotate(N_4, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{31}Polygon(T_{31}, U_{31}, V_{31}) → t18', v_{31}, t_{35}, u_{33}Rotate(R_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{31}Rotate(H_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{31}Rotate(S_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{32}Polygon(W_{31}, Z_{31}, A_{32}) → t19', a_{32}, w_{31}, z_{32}Rotate(R_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{32}Rotate(Q_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{32}Rotate(K_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{32}Polygon(B_{32}, C_{32}, D_{32}) → t20', d_{32}, b_{38}, c_{40}Rotate(S_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{32}Rotate(C_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{32}Rotate(T_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → G_{32}Polygon(E_{32}, F_{32}, G_{32}) → t21', g_{36}, e_{32}, f_{34}Rotate(T_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → H_{32}Rotate(A_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → I_{32}Rotate(O_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → J_{32}Polygon(H_{32}, I_{32}, J_{32}) → t22', j_{35}, h_{41}, i_{39}Rotate(O_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → K_{32}Rotate(C_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → L_{32}Rotate(P_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → M_{32}Polygon(K_{32}, L_{32}, M_{32}) → t23', m_{34}, k_{34}, l_{32}Rotate(P_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → N_{32}Rotate(Q_6, (((180 / 3.1415926 * distanceCM) * 10))°, H) → O_{32}Rotate(I_7, (((180 / 3.1415926 * distanceCM) * 10))°, H) → P_{32}Polygon(N_{32}, O_{32}, P_{32}) → t24', p_{39}, n_{37}, o_{38}Rotate(S_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Q_{32}Rotate(T_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → R_{32}Segment(Q_{32}, R_{32}) → p'_1Rotate(U_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → S_{32}Rotate(V_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → T_{32}Segment(S_{32}, T_{32}) → a'Rotate(W_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → U_{32}Rotate(Z_{15}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → V_{32}Segment(U_{32}, V_{32}) → l_8Rotate(A_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → W_{32}Rotate(B_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → Z_{32}Segment(W_{32}, Z_{32}) → l_9Rotate(C_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → A_{33}Rotate(D_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → B_{33}Segment(A_{33}, B_{33}) → l_{10}Rotate(E_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → C_{33}Rotate(F_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → D_{33}Segment(C_{33}, D_{33}) → l_{11}Rotate(G_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → E_{33}Rotate(H_{16}, (((180 / 3.1415926 * distanceCM) * 10))°, H) → F_{33}Segment(E_{33}, F_{33}) → l_{12}Circle(H, S_{13}) → d_{33}Circle(H, A_{14}) → e_{33}
AI Drawing Prompt Reference
Start with a horizontal segment and draw perpendicular lines at both ends. Mark midpoints and quarter points along the segment, and construct parallel auxiliary lines through them. Rotate one endpoint 30 degrees around the other, then draw a ray from the rotated point to intersect a perpendicular line. Use these intersection points as centers to draw a chain of tangent circles. Connect tangent points and key intersections to form multiple polygons, including a central hexagon and surrounding quadrilaterals. The result is a symmetric geometric tiling pattern illustrating conformal mapping.
The prompt above was compiled from the original drawing commands and is for reference only.