Tessellation from Rectangle by abbey (2)
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Tessellation from Rectangle using Translation
This example demonstrates how to generate a tessellation pattern using a rectangle. Key mathematical concepts include geometric transformations and vectors. Using GeoGebra commands such as Segment, OrthogonalLine, Point, Intersect, Vector, Translate, and Polygon, complex tessellation patterns can be constructed. Suitable for middle school and above students to learn about geometric transformations and the construction of tessellation patterns.
GeoGebra Commands & Parameters
Segment(A, B) → aOrthogonalLine(A, a) → bOrthogonalLine(B, a) → cPoint(b) → COrthogonalLine(C, b) → dIntersect(c, d) → DSegment(C, A) → eSegment(D, B) → fSegment(C, D) → gSegment(A, E) → hSegment(E, F) → iSegment(F, G) → jSegment(G, H) → kSegment(H, C) → lVector(C, D) → uTranslate(C, u) → C'Translate(A, u) → A'Segment(C', A') → e'Translate(A, u) → A'_1Translate(E, u) → E'Segment(A'_1, E') → h'Translate(E, u) → E'_1Translate(F, u) → F'Segment(E'_1, F') → i'Translate(F, u) → F'_1Translate(G, u) → G'Segment(F'_1, G') → j'Translate(G, u) → G'_1Translate(H, u) → H'Segment(G'_1, H') → k'Translate(H, u) → H'_1Translate(C, u) → C'_1Segment(H'_1, C'_1) → l'Segment(A, I) → mSegment(I, J) → nSegment(J, K) → pSegment(K, L) → qSegment(L, M) → rSegment(M, B) → sVector(A, C) → vTranslate(A, v) → A'_2Translate(B, v) → B'Segment(A'_2, B') → a'Translate(A, v) → A'_3Translate(I, v) → I'Segment(A'_3, I') → m'Translate(I, v) → I'_1Translate(J, v) → J'Segment(I'_1, J') → n'Translate(J, v) → J'_1Translate(K, v) → K'Segment(J'_1, K') → p'Translate(K, v) → K'_1Translate(L, v) → L'Segment(K'_1, L') → q'Translate(L, v) → L'_1Translate(M, v) → M'Segment(L'_1, M') → r'Translate(M, v) → M'_1Translate(B, v) → B'_1Segment(M'_1, B'_1) → s'Translate(A', v) → A''Translate(A'_1, v) → OPolygon(C, H, M, B, E', F', G', H', D, M', L', K', G, J', I', F, E, A, I, J, K, L) → poly1, c_1, l_1, m_1, b_1, e'_1, f', g', h'_1, d_1, m'_1, l'_1, h_1, k'_1, j'_1, i'_1, g_1, f_1, e_1, a_1, i_1, j_1, k_1Point(i) → PCircle(N, P) → tPoint(j) → RCircle(Q, R) → p_1Vector(A, A'_1) → wTranslate(C, w) → C'_2Translate(H, w) → H'_2Translate(G, w) → G'_2Translate(F, w) → F'_2Translate(E, w) → E'_2Translate(A, w) → A'_4Translate(I, w) → I'_2Translate(K, w) → K'_2Translate(L, w) → L'_2Translate(M, w) → M'_2Translate(B, w) → B'_2Translate(E', w) → E''Translate(F', w) → F''Translate(G', w) → G''Translate(H', w) → H''Translate(D, w) → D'Translate(M', w) → M''Translate(L', w) → L''Translate(K', w) → K''Translate(J', w) → J''Translate(I', w) → I''Translate(A, w) → A'_5Translate(E, w) → E'_3Segment(A'_5, E'_3) → h'_3Translate(E, w) → E'_4Translate(F, w) → F'_3Segment(E'_4, F'_3) → i'_3Translate(F, w) → F'_4Translate(G, w) → G'_3Segment(F'_4, G'_3) → j'_3Translate(G, w) → G'_4Translate(H, w) → H'_3Segment(G'_4, H'_3) → k'_3Translate(H, w) → H'_4Translate(C, w) → C'_3Segment(H'_4, C'_3) → l'_3Translate(A'_1, w) → TTranslate(E', w) → E''_1Segment(T, E''_1) → h''_1Translate(E'_1, w) → UTranslate(F', w) → F''_1Segment(U, F''_1) → i''_1Translate(F'_1, w) → VTranslate(G', w) → G''_1Segment(V, G''_1) → j''_1Translate(G'_1, w) → WTranslate(H', w) → H''_1Segment(W, H''_1) → k''_1Translate(H'_1, w) → ZTranslate(C'_1, w) → A_1Segment(Z, A_1) → l''_1Translate(A, w) → A'_6Translate(I, w) → I'_3Segment(A'_6, I'_3) → m'_3Translate(I, w) → I'_4Translate(J, w) → J'_3Segment(I'_4, J'_3) → n'_1Translate(J, w) → J'_4Translate(K, w) → K'_3Segment(J'_4, K'_3) → p'_1Translate(K, w) → K'_4Translate(L, w) → L'_3Segment(K'_4, L'_3) → q'_1Translate(L, w) → L'_4Translate(M, w) → M'_3Segment(L'_4, M'_3) → r'_1Translate(M, w) → M'_4Translate(B, w) → B'_3Segment(M'_4, B'_3) → s'_1Translate(A'_3, w) → B_1Translate(I', w) → I''_1Segment(B_1, I''_1) → m''_1Translate(I'_1, w) → C_1Translate(J', w) → J''_1Segment(C_1, J''_1) → n''Translate(J'_1, w) → D_1Translate(K', w) → K''_1Segment(D_1, K''_1) → p''Translate(K'_1, w) → E_1Translate(L', w) → L''_1Segment(E_1, L''_1) → q''Translate(L'_1, w) → F_1Translate(M', w) → M''_1Segment(F_1, M''_1) → r''Translate(M'_1, w) → G_1Translate(B'_1, w) → H_1Segment(G_1, H_1) → s''Translate(C', w) → C''Translate(A', w) → A''_1Translate(A'_2, w) → I_1Translate(B', w) → B''Translate(A'', w) → A'''Translate(O, w) → O'Translate(N, w) → N'Translate(P, w) → P'Translate(Q, w) → Q'Translate(R, w) → R'Vector(A, A''_1) → zTranslate(C, z) → C'_4Translate(H, z) → H'_5Translate(G, z) → G'_5Translate(F, z) → F'_5Translate(E, z) → E'_5Translate(A, z) → A'_7Translate(I, z) → I'_5Translate(J, z) → J'_5Translate(K, z) → K'_5Translate(L, z) → L'_5Translate(M, z) → M'_5Translate(B, z) → B'_4Translate(E', z) → E''_2Translate(F', z) → F''_2Translate(G', z) → G''_2Translate(H', z) → H''_2Translate(D, z) → D'_1Translate(M', z) → M''_2Translate(L', z) → L''_2Translate(K', z) → K''_2Translate(J', z) → J''_2Translate(I', z) → I''_2Polygon(C'_4, H'_5, M'_5, B'_4, E''_2, F''_2, G''_2, H''_2, D'_1, M''_2, L''_2, K''_2, G'_5, J''_2, I''_2, F'_5, E'_5, A'_7, I'_5, J'_5, K'_5, L'_5) → poly1'_1, c'_4, l'_5, m'_5, b'_4, e''_2, f''_2, g''_2, h''_2, d'_1, m''_2, l''_2, h'_5, k''_2, j''_2, i''_2, g'_5, f'_5, e'_5, a'_7, i'_5, j'_5, k'_5Translate(C'_2, z) → STranslate(H'_2, z) → J_1Translate(G'_2, z) → K_1Translate(F'_2, z) → L_1Translate(E'_2, z) → M_1Translate(A'_4, z) → N_1Translate(I'_2, z) → O_1Translate(K'_2, z) → Q_1Translate(L'_2, z) → R_1Translate(M'_2, z) → S_1Translate(B'_2, z) → T_1Translate(E'', z) → E'''Translate(F'', z) → F'''Translate(G'', z) → G'''Translate(H'', z) → H'''Translate(D', z) → D''Translate(M'', z) → M'''Translate(L'', z) → L'''Translate(K'', z) → K'''Translate(J'', z) → J'''Translate(I'', z) → I'''Translate(A, z) → A'_8Translate(E, z) → E'_6Segment(A'_8, E'_6) → h'_4Translate(E, z) → E'_7Translate(F, z) → F'_6Segment(E'_7, F'_6) → i'_4Translate(F, z) → F'_7Translate(G, z) → G'_6Segment(F'_7, G'_6) → j'_4Translate(G, z) → G'_7Translate(H, z) → H'_6Segment(G'_7, H'_6) → k'_4Translate(H, z) → H'_7Translate(C, z) → C'_5Segment(H'_7, C'_5) → l'_4Translate(A'_1, z) → U_1Translate(E', z) → E''_3Segment(U_1, E''_3) → h''_3Translate(E'_1, z) → V_1Translate(F', z) → F''_3Segment(V_1, F''_3) → i''_3Translate(F'_1, z) → W_1Translate(G', z) → G''_3Segment(W_1, G''_3) → j''_3Translate(G'_1, z) → Z_1Translate(H', z) → H''_3Segment(Z_1, H''_3) → k''_3Translate(H'_1, z) → A_2Translate(C'_1, z) → B_2Segment(A_2, B_2) → l''_3Translate(A, z) → A'_9Translate(I, z) → I'_6Segment(A'_9, I'_6) → m'_4Translate(I, z) → I'_7Translate(J, z) → J'_6Segment(I'_7, J'_6) → n'_2Translate(J, z) → J'_7Translate(K, z) → K'_6Segment(J'_7, K'_6) → p'_2Translate(K, z) → K'_7Translate(L, z) → L'_6Segment(K'_7, L'_6) → q'_2Translate(L, z) → L'_7Translate(M, z) → M'_6Segment(L'_7, M'_6) → r'_2Translate(M, z) → M'_7Translate(B, z) → B'_5Segment(M'_7, B'_5) → s'_2Translate(A'_3, z) → C_2Translate(I', z) → I''_3Segment(C_2, I''_3) → m''_3Translate(I'_1, z) → D_2Translate(J', z) → J''_3Segment(D_2, J''_3) → n''_1Translate(J'_1, z) → E_2Translate(K', z) → K''_3Segment(E_2, K''_3) → p''_1Translate(K'_1, z) → F_2Translate(L', z) → L''_3Segment(F_2, L''_3) → q''_1Translate(L'_1, z) → G_2Translate(M', z) → M''_3Segment(G_2, M''_3) → r''_1Translate(M'_1, z) → H_2Translate(B'_1, z) → I_2Segment(H_2, I_2) → s''_1Translate(A'_5, z) → J_2Translate(E'_3, z) → K_2Segment(J_2, K_2) → a_2Translate(E'_4, z) → L_2Translate(F'_3, z) → M_2Segment(L_2, M_2) → b_2Translate(F'_4, z) → N_2Translate(G'_3, z) → O_2Segment(N_2, O_2) → c_2Translate(G'_4, z) → P_2Translate(H'_3, z) → Q_2Segment(P_2, Q_2) → d_2Translate(H'_4, z) → R_2Translate(C'_3, z) → S_2Segment(R_2, S_2) → e_2Translate(T, z) → T'Translate(E''_1, z) → T_2Segment(T', T_2) → f_2Translate(U, z) → U'Translate(F''_1, z) → U_2Segment(U', U_2) → g_2Translate(V, z) → V'Translate(G''_1, z) → V_2Segment(V', V_2) → h_2Translate(W, z) → W'Translate(H''_1, z) → W_2Segment(W', W_2) → i_2Translate(Z, z) → Z'Translate(A_1, z) → Z_2Segment(Z', Z_2) → n_2Translate(A'_6, z) → A_3Translate(I'_3, z) → B_3Segment(A_3, B_3) → q_2Translate(I'_4, z) → C_3Translate(J'_3, z) → D_3Segment(C_3, D_3) → r_2Translate(J'_4, z) → E_3Translate(K'_3, z) → F_3Segment(E_3, F_3) → t_2Translate(K'_4, z) → G_3Translate(L'_3, z) → H_3Segment(G_3, H_3) → a_3Translate(L'_4, z) → I_3Translate(M'_3, z) → J_3Segment(I_3, J_3) → b_3Translate(M'_4, z) → K_3Translate(B'_3, z) → L_3Segment(K_3, L_3) → c_3Translate(B_1, z) → M_3Translate(I''_1, z) → N_3Segment(M_3, N_3) → d_3Translate(C_1, z) → O_3Translate(J''_1, z) → P_3Segment(O_3, P_3) → n'''Translate(D_1, z) → Q_3Translate(K''_1, z) → R_3Segment(Q_3, R_3) → p'''Translate(E_1, z) → S_3Translate(L''_1, z) → T_3Segment(S_3, T_3) → q'''Translate(F_1, z) → U_3Translate(M''_1, z) → V_3Segment(U_3, V_3) → r'''Translate(G_1, z) → W_3Translate(H_1, z) → Z_3Segment(W_3, Z_3) → s'''Translate(w, z) → w'Translate(C', z) → C''_1Translate(A', z) → A''_2Translate(A'_2, z) → A_4Translate(B', z) → B''_1Translate(A'', z) → A'''_1Translate(O, z) → O'_1Translate(N, z) → N'_1Translate(P, z) → P'_1Translate(Q, z) → Q'_1Translate(R, z) → R'_1Translate(C'', z) → C'''Translate(I_1, z) → B_4Translate(B'', z) → B'''Translate(A''', z) → C_4Translate(O', z) → O''Translate(N', z) → N''Translate(P', z) → P''Translate(Q', z) → Q''Translate(R', z) → R''Vector(J'_3, J'') → u_1Translate(C, u_1) → C'_6Translate(H, u_1) → H'_8Translate(G, u_1) → G'_8Translate(F, u_1) → F'_8Translate(E, u_1) → E'_8Translate(A, u_1) → A'_{10}Translate(I, u_1) → I'_8Translate(J, u_1) → J'_2Translate(K, u_1) → K'_8Translate(L, u_1) → L'_8Translate(M, u_1) → M'_8Translate(B, u_1) → B'_6Translate(E', u_1) → E''_4Translate(F', u_1) → F''_4Translate(G', u_1) → G''_4Translate(H', u_1) → H''_4Translate(D, u_1) → D'_2Translate(M', u_1) → M''_4Translate(L', u_1) → L''_4Translate(K', u_1) → K''_4Translate(J', u_1) → J''_4Translate(I', u_1) → I''_4Polygon(C'_6, H'_8, M'_8, B'_6, E''_4, F''_4, G''_4, H''_4, D'_2, M''_4, L''_4, K''_4, G'_8, J''_4, I''_4, F'_8, E'_8, A'_{10}, I'_8, J'_2, K'_8, L'_8) → poly1', c'_6, l'_8, m'_8, b'_6, e''_4, f''_4, g''_4, h''_4, d'_2, m''_4, l''_4, h'_8, k''_4, j''_4, i''_4, g'_8, f'_8, e'_8, a'_{10}, i'_8, j'_2, k'_8Translate(C'_4, u_1) → P_1Translate(H'_5, u_1) → D_4Translate(G'_5, u_1) → E_4Translate(F'_5, u_1) → F_4Translate(E'_5, u_1) → G_4Translate(A'_7, u_1) → H_4Translate(I'_5, u_1) → I_4Translate(J'_5, u_1) → J_4Translate(K'_5, u_1) → K_4Translate(L'_5, u_1) → L_4Translate(M'_5, u_1) → M_4Translate(B'_4, u_1) → N_4Translate(E''_2, u_1) → O_4Translate(F''_2, u_1) → P_4Translate(G''_2, u_1) → Q_4Translate(H''_2, u_1) → R_4Translate(D'_1, u_1) → S_4Translate(M''_2, u_1) → T_4Translate(L''_2, u_1) → U_4Translate(K''_2, u_1) → V_4Translate(J''_2, u_1) → W_4Translate(I''_2, u_1) → Z_4Polygon(P_1, D_4, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, E_4, W_4, Z_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4) → poly2, p_2, l_4, m_4, n_4, o_4, p_4, q_4, r_4, s_4, t_4, u_4, d_4, v_4, w_4, z_4, e_4, f_4, g_4, h_4, i_4, j_4, k_4Translate(A, u_1) → A'_{11}Translate(E, u_1) → E'_9Segment(A'_{11}, E'_9) → h'_2Translate(E, u_1) → E'_{10}Translate(F, u_1) → F'_9Segment(E'_{10}, F'_9) → i'_2Translate(F, u_1) → F'_{10}Translate(G, u_1) → G'_9Segment(F'_{10}, G'_9) → j'_6Translate(G, u_1) → G'_{10}Translate(H, u_1) → H'_9Segment(G'_{10}, H'_9) → k'_2Translate(H, u_1) → H'_{10}Translate(C, u_1) → C'_7Segment(H'_{10}, C'_7) → l'_2Translate(A'_1, u_1) → A_5Translate(E', u_1) → E''_5Segment(A_5, E''_5) → h''Translate(E'_1, u_1) → B_5Translate(F', u_1) → F''_5Segment(B_5, F''_5) → i''Translate(F'_1, u_1) → C_5Translate(G', u_1) → G''_5Segment(C_5, G''_5) → j''Translate(G'_1, u_1) → D_5Translate(H', u_1) → H''_5Segment(D_5, H''_5) → k''Translate(H'_1, u_1) → E_5Translate(C'_1, u_1) → F_5Segment(E_5, F_5) → l''Translate(A, u_1) → A'_{12}Translate(I, u_1) → I'_9Segment(A'_{12}, I'_9) → m'_2Translate(I, u_1) → I'_{10}Translate(J, u_1) → J'_8Segment(I'_{10}, J'_8) → n'_3Translate(J, u_1) → J'_9Translate(K, u_1) → K'_9Segment(J'_9, K'_9) → p'_3Translate(K, u_1) → K'_{10}Translate(L, u_1) → L'_9Segment(K'_{10}, L'_9) → q'_3Translate(L, u_1) → L'_{10}Translate(M, u_1) → M'_9Segment(L'_{10}, M'_9) → r'_3Translate(M, u_1) → M'_{10}Translate(B, u_1) → B'_7Segment(M'_{10}, B'_7) → s'_3Translate(A'_3, u_1) → G_5Translate(I', u_1) → I''_5Segment(G_5, I''_5) → m''Translate(I'_1, u_1) → H_5Translate(J', u_1) → J''_5Segment(H_5, J''_5) → n''_2Translate(J'_1, u_1) → I_5Translate(K', u_1) → K''_5Segment(I_5, K''_5) → p''_2Translate(K'_1, u_1) → J_5Translate(L', u_1) → L''_5Segment(J_5, L''_5) → q''_2Translate(L'_1, u_1) → K_5Translate(M', u_1) → M''_5Segment(K_5, M''_5) → r''_2Translate(M'_1, u_1) → L_5Translate(B'_1, u_1) → M_5Segment(L_5, M_5) → s''_2Translate(A'_5, u_1) → N_5Translate(E'_3, u_1) → O_5Segment(N_5, O_5) → n_1Translate(E'_4, u_1) → P_5Translate(F'_3, u_1) → Q_5Segment(P_5, Q_5) → q_1Translate(F'_4, u_1) → R_5Translate(G'_3, u_1) → S_5Segment(R_5, S_5) → r_1Translate(G'_4, u_1) → T_5Translate(H'_3, u_1) → U_5Segment(T_5, U_5) → s_1Translate(H'_4, u_1) → V_5Translate(C'_3, u_1) → W_5Segment(V_5, W_5) → t_1Translate(T, u_1) → T'_1Translate(E''_1, u_1) → Z_5Segment(T'_1, Z_5) → j_2Translate(U, u_1) → U'_1Translate(F''_1, u_1) → A_6Segment(U'_1, A_6) → k_2Translate(V, u_1) → V'_1Translate(G''_1, u_1) → B_6Segment(V'_1, B_6) → l_2Translate(W, u_1) → W'_1Translate(H''_1, u_1) → C_6Segment(W'_1, C_6) → m_2Translate(Z, u_1) → Z'_1Translate(A_1, u_1) → D_6Segment(Z'_1, D_6) → s_2Translate(A'_6, u_1) → E_6Translate(I'_3, u_1) → F_6Segment(E_6, F_6) → e_3Translate(I'_4, u_1) → G_6Translate(J'_3, u_1) → H_6Segment(G_6, H_6) → f_3Translate(J'_4, u_1) → I_6Translate(K'_3, u_1) → J_6Segment(I_6, J_6) → g_3Translate(K'_4, u_1) → K_6Translate(L'_3, u_1) → L_6Segment(K_6, L_6) → h_3Translate(L'_4, u_1) → M_6Translate(M'_3, u_1) → N_6Segment(M_6, N_6) → i_3Translate(M'_4, u_1) → O_6Translate(B'_3, u_1) → P_6Segment(O_6, P_6) → j_3Translate(B_1, u_1) → Q_6Translate(I''_1, u_1) → R_6Segment(Q_6, R_6) → k_3Translate(C_1, u_1) → S_6Translate(J''_1, u_1) → T_6Segment(S_6, T_6) → n'''_1Translate(D_1, u_1) → U_6Translate(K''_1, u_1) → V_6Segment(U_6, V_6) → p'''_1Translate(E_1, u_1) → W_6Translate(L''_1, u_1) → Z_6Segment(W_6, Z_6) → q'''_1Translate(F_1, u_1) → A_7Translate(M''_1, u_1) → B_7Segment(A_7, B_7) → r'''_1Translate(G_1, u_1) → C_7Translate(H_1, u_1) → D_7Segment(C_7, D_7) → s'''_1Translate(A'_8, u_1) → E_7Translate(E'_6, u_1) → F_7Segment(E_7, F_7) → l_3Translate(E'_7, u_1) → G_7Translate(F'_6, u_1) → H_7Segment(G_7, H_7) → m_3Translate(F'_7, u_1) → I_7Translate(G'_6, u_1) → J_7Segment(I_7, J_7) → n_3Translate(G'_7, u_1) → K_7Translate(H'_6, u_1) → L_7Segment(K_7, L_7) → p_3Translate(H'_7, u_1) → M_7Translate(C'_5, u_1) → N_7Segment(M_7, N_7) → q_3Translate(U_1, u_1) → O_7Translate(E''_3, u_1) → P_7Segment(O_7, P_7) → r_3Translate(V_1, u_1) → Q_7Translate(F''_3, u_1) → R_7Segment(Q_7, R_7) → s_3Translate(W_1, u_1) → S_7Translate(G''_3, u_1) → T_7Segment(S_7, T_7) → t_3Translate(Z_1, u_1) → U_7Translate(H''_3, u_1) → V_7Segment(U_7, V_7) → a_4Translate(A_2, u_1) → W_7Translate(B_2, u_1) → Z_7Segment(W_7, Z_7) → b_4Translate(A'_9, u_1) → A_8Translate(I'_6, u_1) → B_8Segment(A_8, B_8) → c_4Translate(I'_7, u_1) → C_8Translate(J'_6, u_1) → D_8Segment(C_8, D_8) → a_5Translate(J'_7, u_1) → E_8Translate(K'_6, u_1) → F_8Segment(E_8, F_8) → b_5Translate(K'_7, u_1) → G_8Translate(L'_6, u_1) → H_8Segment(G_8, H_8) → c_5Translate(L'_7, u_1) → I_8Translate(M'_6, u_1) → J_8Segment(I_8, J_8) → d_5Translate(M'_7, u_1) → K_8Translate(B'_5, u_1) → L_8Segment(K_8, L_8) → e_5Translate(C_2, u_1) → M_8Translate(I''_3, u_1) → N_8Segment(M_8, N_8) → f_5Translate(D_2, u_1) → O_8Translate(J''_3, u_1) → P_8Segment(O_8, P_8) → g_5Translate(E_2, u_1) → Q_8Translate(K''_3, u_1) → R_8Segment(Q_8, R_8) → h_5Translate(F_2, u_1) → S_8Translate(L''_3, u_1) → T_8Segment(S_8, T_8) → i_5Translate(G_2, u_1) → U_8Translate(M''_3, u_1) → V_8Segment(U_8, V_8) → j_5Translate(H_2, u_1) → W_8Translate(I_2, u_1) → Z_8Segment(W_8, Z_8) → k_5Translate(J_2, u_1) → A_9Translate(K_2, u_1) → B_9Segment(A_9, B_9) → l_5Translate(L_2, u_1) → C_9Translate(M_2, u_1) → D_9Segment(C_9, D_9) → m_5Translate(N_2, u_1) → E_9Translate(O_2, u_1) → F_9Segment(E_9, F_9) → n_5Translate(P_2, u_1) → G_9Translate(Q_2, u_1) → H_9Segment(G_9, H_9) → p_5Translate(R_2, u_1) → I_9Translate(S_2, u_1) → J_9Segment(I_9, J_9) → q_5Translate(T', u_1) → T''Translate(T_2, u_1) → K_9Segment(T'', K_9) → r_5Translate(U', u_1) → U''Translate(U_2, u_1) → L_9Segment(U'', L_9) → s_5Translate(V', u_1) → V''Translate(V_2, u_1) → M_9Segment(V'', M_9) → t_5Translate(W', u_1) → W''Translate(W_2, u_1) → N_9Segment(W'', N_9) → a_6Translate(Z', u_1) → Z''Translate(Z_2, u_1) → O_9Segment(Z'', O_9) → b_6Translate(A_3, u_1) → P_9Translate(B_3, u_1) → Q_9Segment(P_9, Q_9) → c_6Translate(C_3, u_1) → R_9Translate(D_3, u_1) → S_9Segment(R_9, S_9) → d_6Translate(E_3, u_1) → T_9Translate(F_3, u_1) → U_9Segment(T_9, U_9) → e_6Translate(G_3, u_1) → V_9Translate(H_3, u_1) → W_9Segment(V_9, W_9) → f_6Translate(I_3, u_1) → Z_9Translate(J_3, u_1) → A_{10}Segment(Z_9, A_{10}) → g_6Translate(K_3, u_1) → B_{10}Translate(L_3, u_1) → C_{10}Segment(B_{10}, C_{10}) → h_6Translate(M_3, u_1) → D_{10}Translate(N_3, u_1) → E_{10}Segment(D_{10}, E_{10}) → i_6Translate(O_3, u_1) → F_{10}Translate(P_3, u_1) → G_{10}Segment(F_{10}, G_{10}) → j_6Translate(Q_3, u_1) → H_{10}Translate(R_3, u_1) → I_{10}Segment(H_{10}, I_{10}) → k_6Translate(S_3, u_1) → J_{10}Translate(T_3, u_1) → K_{10}Segment(J_{10}, K_{10}) → l_6Translate(U_3, u_1) → L_{10}Translate(V_3, u_1) → M_{10}Segment(L_{10}, M_{10}) → m_6Translate(W_3, u_1) → N_{10}Translate(Z_3, u_1) → O_{10}Segment(N_{10}, O_{10}) → n_6Translate(w, u_1) → w'_1Translate(z, u_1) → z'Translate(w', u_1) → w''Translate(C', u_1) → C''_2Translate(A', u_1) → A''_3Translate(A'_2, u_1) → P_{10}Translate(B', u_1) → B''_2Translate(A'', u_1) → A'''_2Translate(O, u_1) → O'_2Translate(N, u_1) → N'_2Translate(P, u_1) → P'_2Translate(Q, u_1) → Q'_2Translate(R, u_1) → R'_2Translate(C'_2, u_1) → Q_{10}Translate(H'_2, u_1) → R_{10}Translate(G'_2, u_1) → S_{10}Translate(F'_2, u_1) → T_{10}Translate(E'_2, u_1) → U_{10}Translate(A'_4, u_1) → V_{10}Translate(I'_2, u_1) → W_{10}Translate(K'_2, u_1) → Z_{10}Translate(L'_2, u_1) → A_{11}Translate(M'_2, u_1) → B_{11}Translate(B'_2, u_1) → C_{11}Translate(E'', u_1) → E'''_1Translate(F'', u_1) → F'''_1Translate(G'', u_1) → G'''_1Translate(H'', u_1) → H'''_1Translate(D', u_1) → D''_1Translate(M'', u_1) → M'''_1Translate(L'', u_1) → L'''_1Translate(K'', u_1) → K'''_1Translate(I'', u_1) → I'''_1Translate(C'', u_1) → C'''_1Translate(A''_1, u_1) → D_{11}Translate(I_1, u_1) → E_{11}Translate(B'', u_1) → B'''_1Translate(A''', u_1) → F_{11}Translate(O', u_1) → O''_1Translate(N', u_1) → N''_1Translate(P', u_1) → P''_1Translate(Q', u_1) → Q''_1Translate(R', u_1) → R''_1Translate(S, u_1) → S'Translate(J_1, u_1) → G_{11}Translate(K_1, u_1) → H_{11}Translate(L_1, u_1) → I_{11}Translate(M_1, u_1) → J_{11}Translate(N_1, u_1) → K_{11}Translate(O_1, u_1) → L_{11}Translate(Q_1, u_1) → M_{11}Translate(R_1, u_1) → N_{11}Translate(S_1, u_1) → O_{11}Translate(T_1, u_1) → P_{11}Translate(E''', u_1) → Q_{11}Translate(F''', u_1) → R_{11}Translate(G''', u_1) → S_{11}Translate(H''', u_1) → T_{11}Translate(D'', u_1) → D'''Translate(M''', u_1) → U_{11}Translate(L''', u_1) → V_{11}Translate(K''', u_1) → W_{11}Translate(J''', u_1) → Z_{11}Translate(I''', u_1) → A_{12}Translate(C''_1, u_1) → B_{12}Translate(A''_2, u_1) → C_{12}Translate(A_4, u_1) → D_{12}Translate(B''_1, u_1) → E_{12}Translate(A'''_1, u_1) → F_{12}Translate(O'_1, u_1) → G_{12}Translate(N'_1, u_1) → H_{12}Translate(P'_1, u_1) → I_{12}Translate(Q'_1, u_1) → J_{12}Translate(R'_1, u_1) → K_{12}Translate(C''', u_1) → L_{12}Translate(B_4, u_1) → M_{12}Translate(B''', u_1) → N_{12}Translate(C_4, u_1) → O_{12}Translate(O'', u_1) → O'''Translate(N'', u_1) → N'''Translate(P'', u_1) → P'''Translate(Q'', u_1) → Q'''Translate(R'', u_1) → R'''Vector(J'_5, W_4) → v_1Translate(C, v_1) → C'_8Translate(H, v_1) → H'_{11}Translate(G, v_1) → G'_{11}Translate(F, v_1) → F'_{11}Translate(E, v_1) → E'_{11}Translate(A, v_1) → A'_{13}Translate(I, v_1) → I'_{11}Translate(J, v_1) → J'_{10}Translate(K, v_1) → K'_{11}Translate(L, v_1) → L'_{11}Translate(M, v_1) → M'_{11}Translate(B, v_1) → B'_8Translate(E', v_1) → E''_6Translate(F', v_1) → F''_6Translate(G', v_1) → G''_6Translate(H', v_1) → H''_6Translate(D, v_1) → D'_3Translate(M', v_1) → M''_6Translate(L', v_1) → L''_6Translate(K', v_1) → K''_6Translate(J', v_1) → J''_6Translate(I', v_1) → I''_6Polygon(C'_8, H'_{11}, M'_{11}, B'_8, E''_6, F''_6, G''_6, H''_6, D'_3, M''_6, L''_6, K''_6, G'_{11}, J''_6, I''_6, F'_{11}, E'_{11}, A'_{13}, I'_{11}, J'_{10}, K'_{11}, L'_{11}) → poly1'_2, c'_8, l'_{11}, m'_{11}, b'_8, e''_6, f''_6, g''_6, h''_6, d'_3, m''_6, l''_6, h'_{11}, k''_6, j''_6, i''_6, g'_{11}, f'_{11}, e'_{11}, a'_{13}, i'_{11}, j'_{10}, k'_{11}Translate(C'_4, v_1) → V_{12}Translate(H'_5, v_1) → W_{12}Translate(G'_5, v_1) → Z_{12}Translate(F'_5, v_1) → A_{13}Translate(E'_5, v_1) → B_{13}Translate(A'_7, v_1) → C_{13}Translate(I'_5, v_1) → D_{13}Translate(J'_5, v_1) → E_{13}Translate(K'_5, v_1) → F_{13}Translate(L'_5, v_1) → G_{13}Translate(M'_5, v_1) → H_{13}Translate(B'_4, v_1) → I_{13}Translate(E''_2, v_1) → J_{13}Translate(F''_2, v_1) → K_{13}Translate(G''_2, v_1) → L_{13}Translate(H''_2, v_1) → M_{13}Translate(D'_1, v_1) → N_{13}Translate(M''_2, v_1) → O_{13}Translate(L''_2, v_1) → P_{13}Translate(K''_2, v_1) → Q_{13}Translate(J''_2, v_1) → R_{13}Translate(I''_2, v_1) → S_{13}Polygon(V_{12}, W_{12}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, Z_{12}, R_{13}, S_{13}, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}) → poly3, v_{12}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, o_{13}, p_{13}, w_{12}, q_{13}, r_{13}, s_{13}, z_{12}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13}Translate(C'_6, v_1) → T_{13}Translate(H'_8, v_1) → U_{13}Translate(G'_8, v_1) → V_{13}Translate(F'_8, v_1) → W_{13}Translate(E'_8, v_1) → Z_{13}Translate(A'_{10}, v_1) → A_{14}Translate(I'_8, v_1) → B_{14}Translate(J'_2, v_1) → C_{14}Translate(K'_8, v_1) → D_{14}Translate(L'_8, v_1) → E_{14}Translate(M'_8, v_1) → F_{14}Translate(B'_6, v_1) → G_{14}Translate(E''_4, v_1) → H_{14}Translate(F''_4, v_1) → I_{14}Translate(G''_4, v_1) → J_{14}Translate(H''_4, v_1) → K_{14}Translate(D'_2, v_1) → L_{14}Translate(M''_4, v_1) → M_{14}Translate(L''_4, v_1) → N_{14}Translate(K''_4, v_1) → O_{14}Translate(J''_4, v_1) → P_{14}Translate(I''_4, v_1) → Q_{14}Polygon(T_{13}, U_{13}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, V_{13}, P_{14}, Q_{14}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, E_{14}) → poly1'', t_{13}, e_{14}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, u_{13}, o_{14}, p_{14}, q_{14}, v_{13}, w_{13}, z_{13}, a_{14}, b_{14}, c_{14}, d_{14}Translate(P_1, v_1) → R_{14}Translate(D_4, v_1) → S_{14}Translate(E_4, v_1) → T_{14}Translate(F_4, v_1) → U_{14}Translate(G_4, v_1) → V_{14}Translate(H_4, v_1) → W_{14}Translate(I_4, v_1) → Z_{14}Translate(J_4, v_1) → A_{15}Translate(K_4, v_1) → B_{15}Translate(L_4, v_1) → C_{15}Translate(M_4, v_1) → D_{15}Translate(N_4, v_1) → E_{15}Translate(O_4, v_1) → F_{15}Translate(P_4, v_1) → G_{15}Translate(Q_4, v_1) → H_{15}Translate(R_4, v_1) → I_{15}Translate(S_4, v_1) → J_{15}Translate(T_4, v_1) → K_{15}Translate(U_4, v_1) → L_{15}Translate(V_4, v_1) → M_{15}Translate(W_4, v_1) → N_{15}Translate(Z_4, v_1) → O_{15}Polygon(R_{14}, S_{14}, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}, K_{15}, L_{15}, M_{15}, T_{14}, N_{15}, O_{15}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}, C_{15}) → poly2', r_{14}, c_{15}, d_{15}, e_{15}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}, k_{15}, l_{15}, s_{14}, m_{15}, n_{15}, o_{15}, t_{14}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}Translate(A, v_1) → A'_{14}Translate(E, v_1) → E'_{12}Segment(A'_{14}, E'_{12}) → h'_6Translate(E, v_1) → E'_{13}Translate(F, v_1) → F'_{12}Segment(E'_{13}, F'_{12}) → i'_6Translate(F, v_1) → F'_{13}Translate(G, v_1) → G'_{12}Segment(F'_{13}, G'_{12}) → j'_7Translate(G, v_1) → G'_{13}Translate(H, v_1) → H'_{12}Segment(G'_{13}, H'_{12}) → k'_6Translate(H, v_1) → H'_{13}Translate(C, v_1) → C'_9Segment(H'_{13}, C'_9) → l'_6Translate(A'_1, v_1) → P_{15}Translate(E', v_1) → E''_7Segment(P_{15}, E''_7) → h''_5Translate(E'_1, v_1) → Q_{15}Translate(F', v_1) → F''_7Segment(Q_{15}, F''_7) → i''_5Translate(F'_1, v_1) → R_{15}Translate(G', v_1) → G''_7Segment(R_{15}, G''_7) → j''_5Translate(G'_1, v_1) → S_{15}Translate(H', v_1) → H''_7Segment(S_{15}, H''_7) → k''_5Translate(H'_1, v_1) → T_{15}Translate(C'_1, v_1) → U_{15}Segment(T_{15}, U_{15}) → l''_5Translate(A, v_1) → A'_{15}Translate(I, v_1) → I'_{12}Segment(A'_{15}, I'_{12}) → m'_6Translate(I, v_1) → I'_{13}Translate(J, v_1) → J'_{11}Segment(I'_{13}, J'_{11}) → n'_4Translate(J, v_1) → J'_{12}Translate(K, v_1) → K'_{12}Segment(J'_{12}, K'_{12}) → p'_4Translate(K, v_1) → K'_{13}Translate(L, v_1) → L'_{12}Segment(K'_{13}, L'_{12}) → q'_4Translate(L, v_1) → L'_{13}Translate(M, v_1) → M'_{12}Segment(L'_{13}, M'_{12}) → r'_4Translate(M, v_1) → M'_{13}Translate(B, v_1) → B'_9Segment(M'_{13}, B'_9) → s'_4Translate(A'_3, v_1) → V_{15}Translate(I', v_1) → I''_7Segment(V_{15}, I''_7) → m''_5Translate(I'_1, v_1) → W_{15}Translate(J', v_1) → J''_7Segment(W_{15}, J''_7) → n''_3Translate(J'_1, v_1) → Z_{15}Translate(K', v_1) → K''_7Segment(Z_{15}, K''_7) → p''_3Translate(K'_1, v_1) → A_{16}Translate(L', v_1) → L''_7Segment(A_{16}, L''_7) → q''_3Translate(L'_1, v_1) → B_{16}Translate(M', v_1) → M''_7Segment(B_{16}, M''_7) → r''_3Translate(M'_1, v_1) → C_{16}Translate(B'_1, v_1) → D_{16}Segment(C_{16}, D_{16}) → s''_3Translate(A'_5, v_1) → E_{16}Translate(E'_3, v_1) → F_{16}Segment(E_{16}, F_{16}) → p_6Translate(E'_4, v_1) → G_{16}Translate(F'_3, v_1) → H_{16}Segment(G_{16}, H_{16}) → q_6Translate(F'_4, v_1) → I_{16}Translate(G'_3, v_1) → J_{16}Segment(I_{16}, J_{16}) → r_6Translate(G'_4, v_1) → K_{16}Translate(H'_3, v_1) → L_{16}Segment(K_{16}, L_{16}) → s_6Translate(H'_4, v_1) → M_{16}Translate(C'_3, v_1) → N_{16}Segment(M_{16}, N_{16}) → t_6Translate(T, v_1) → T'_2Translate(E''_1, v_1) → O_{16}Segment(T'_2, O_{16}) → a_7Translate(U, v_1) → U'_2Translate(F''_1, v_1) → P_{16}Segment(U'_2, P_{16}) → b_7Translate(V, v_1) → V'_2Translate(G''_1, v_1) → Q_{16}Segment(V'_2, Q_{16}) → c_7Translate(W, v_1) → W'_2Translate(H''_1, v_1) → R_{16}Segment(W'_2, R_{16}) → d_7Translate(Z, v_1) → Z'_2Translate(A_1, v_1) → S_{16}Segment(Z'_2, S_{16}) → e_7Translate(A'_6, v_1) → T_{16}Translate(I'_3, v_1) → U_{16}Segment(T_{16}, U_{16}) → f_7Translate(I'_4, v_1) → V_{16}Translate(J'_3, v_1) → W_{16}Segment(V_{16}, W_{16}) → g_7Translate(J'_4, v_1) → Z_{16}Translate(K'_3, v_1) → A_{17}Segment(Z_{16}, A_{17}) → h_7Translate(K'_4, v_1) → B_{17}Translate(L'_3, v_1) → C_{17}Segment(B_{17}, C_{17}) → i_7Translate(L'_4, v_1) → D_{17}Translate(M'_3, v_1) → E_{17}Segment(D_{17}, E_{17}) → j_7Translate(M'_4, v_1) → F_{17}Translate(B'_3, v_1) → G_{17}Segment(F_{17}, G_{17}) → k_7Translate(B_1, v_1) → H_{17}Translate(I''_1, v_1) → I_{17}Segment(H_{17}, I_{17}) → l_7Translate(C_1, v_1) → J_{17}Translate(J''_1, v_1) → K_{17}Segment(J_{17}, K_{17}) → n'''_2Translate(D_1, v_1) → L_{17}Translate(K''_1, v_1) → M_{17}Segment(L_{17}, M_{17}) → p'''_2Translate(E_1, v_1) → N_{17}Translate(L''_1, v_1) → O_{17}Segment(N_{17}, O_{17}) → q'''_2Translate(F_1, v_1) → P_{17}Translate(M''_1, v_1) → Q_{17}Segment(P_{17}, Q_{17}) → r'''_2Translate(G_1, v_1) → R_{17}Translate(H_1, v_1) → S_{17}Segment(R_{17}, S_{17}) → s'''_2Translate(A'_8, v_1) → T_{17}Translate(E'_6, v_1) → U_{17}Segment(T_{17}, U_{17}) → m_7Translate(E'_7, v_1) → V_{17}Translate(F'_6, v_1) → W_{17}Segment(V_{17}, W_{17}) → n_7Translate(F'_7, v_1) → Z_{17}Translate(G'_6, v_1) → A_{18}Segment(Z_{17}, A_{18}) → p_7Translate(G'_7, v_1) → B_{18}Translate(H'_6, v_1) → C_{18}Segment(B_{18}, C_{18}) → q_7Translate(H'_7, v_1) → D_{18}Translate(C'_5, v_1) → E_{18}Segment(D_{18}, E_{18}) → r_7Translate(U_1, v_1) → F_{18}Translate(E''_3, v_1) → G_{18}Segment(F_{18}, G_{18}) → s_7Translate(V_1, v_1) → H_{18}Translate(F''_3, v_1) → I_{18}Segment(H_{18}, I_{18}) → t_7Translate(W_1, v_1) → J_{18}Translate(G''_3, v_1) → K_{18}Segment(J_{18}, K_{18}) → a_8Translate(Z_1, v_1) → L_{18}Translate(H''_3, v_1) → M_{18}Segment(L_{18}, M_{18}) → b_8Translate(A_2, v_1) → N_{18}Translate(B_2, v_1) → O_{18}Segment(N_{18}, O_{18}) → c_8Translate(A'_9, v_1) → P_{18}Translate(I'_6, v_1) → Q_{18}Segment(P_{18}, Q_{18}) → d_8Translate(I'_7, v_1) → R_{18}Translate(J'_6, v_1) → S_{18}Segment(R_{18}, S_{18}) → e_8Translate(J'_7, v_1) → T_{18}Translate(K'_6, v_1) → U_{18}Segment(T_{18}, U_{18}) → f_8Translate(K'_7, v_1) → V_{18}Translate(L'_6, v_1) → W_{18}Segment(V_{18}, W_{18}) → g_8Translate(L'_7, v_1) → Z_{18}Translate(M'_6, v_1) → A_{19}Segment(Z_{18}, A_{19}) → h_8Translate(M'_7, v_1) → B_{19}Translate(B'_5, v_1) → C_{19}Segment(B_{19}, C_{19}) → i_8Translate(C_2, v_1) → D_{19}Translate(I''_3, v_1) → E_{19}Segment(D_{19}, E_{19}) → j_8Translate(D_2, v_1) → F_{19}Translate(J''_3, v_1) → G_{19}Segment(F_{19}, G_{19}) → k_8Translate(E_2, v_1) → H_{19}Translate(K''_3, v_1) → I_{19}Segment(H_{19}, I_{19}) → l_8Translate(F_2, v_1) → J_{19}Translate(L''_3, v_1) → K_{19}Segment(J_{19}, K_{19}) → m_8Translate(G_2, v_1) → L_{19}Translate(M''_3, v_1) → M_{19}Segment(L_{19}, M_{19}) → n_8Translate(H_2, v_1) → N_{19}Translate(I_2, v_1) → O_{19}Segment(N_{19}, O_{19}) → p_8Translate(J_2, v_1) → P_{19}Translate(K_2, v_1) → Q_{19}Segment(P_{19}, Q_{19}) → q_8Translate(L_2, v_1) → R_{19}Translate(M_2, v_1) → S_{19}Segment(R_{19}, S_{19}) → r_8Translate(N_2, v_1) → T_{19}Translate(O_2, v_1) → U_{19}Segment(T_{19}, U_{19}) → s_8Translate(P_2, v_1) → V_{19}Translate(Q_2, v_1) → W_{19}Segment(V_{19}, W_{19}) → t_8Translate(R_2, v_1) → Z_{19}Translate(S_2, v_1) → A_{20}Segment(Z_{19}, A_{20}) → a_9Translate(T', v_1) → T''_1Translate(T_2, v_1) → B_{20}Segment(T''_1, B_{20}) → b_9Translate(U', v_1) → U''_1Translate(U_2, v_1) → C_{20}Segment(U''_1, C_{20}) → c_9Translate(V', v_1) → V''_1Translate(V_2, v_1) → D_{20}Segment(V''_1, D_{20}) → d_9Translate(W', v_1) → W''_1Translate(W_2, v_1) → E_{20}Segment(W''_1, E_{20}) → e_9Translate(Z', v_1) → Z''_1Translate(Z_2, v_1) → F_{20}Segment(Z''_1, F_{20}) → f_9Translate(A_3, v_1) → G_{20}Translate(B_3, v_1) → H_{20}Segment(G_{20}, H_{20}) → g_9Translate(C_3, v_1) → I_{20}Translate(D_3, v_1) → J_{20}Segment(I_{20}, J_{20}) → h_9Translate(E_3, v_1) → K_{20}Translate(F_3, v_1) → L_{20}Segment(K_{20}, L_{20}) → i_9Translate(G_3, v_1) → M_{20}Translate(H_3, v_1) → N_{20}Segment(M_{20}, N_{20}) → j_9Translate(I_3, v_1) → O_{20}Translate(J_3, v_1) → P_{20}Segment(O_{20}, P_{20}) → k_9Translate(K_3, v_1) → Q_{20}Translate(L_3, v_1) → R_{20}Segment(Q_{20}, R_{20}) → l_9Translate(M_3, v_1) → S_{20}Translate(N_3, v_1) → T_{20}Segment(S_{20}, T_{20}) → m_9Translate(O_3, v_1) → U_{20}Translate(P_3, v_1) → V_{20}Segment(U_{20}, V_{20}) → n_9Translate(Q_3, v_1) → W_{20}Translate(R_3, v_1) → Z_{20}Segment(W_{20}, Z_{20}) → p_9Translate(S_3, v_1) → A_{21}Translate(T_3, v_1) → B_{21}Segment(A_{21}, B_{21}) → q_9Translate(U_3, v_1) → C_{21}Translate(V_3, v_1) → D_{21}Segment(C_{21}, D_{21}) → r_9Translate(W_3, v_1) → E_{21}Translate(Z_3, v_1) → F_{21}Segment(E_{21}, F_{21}) → s_9Translate(A'_{11}, v_1) → G_{21}Translate(E'_9, v_1) → H_{21}Segment(G_{21}, H_{21}) → t_9Translate(E'_{10}, v_1) → I_{21}Translate(F'_9, v_1) → J_{21}Segment(I_{21}, J_{21}) → a_{10}Translate(F'_{10}, v_1) → K_{21}Translate(G'_9, v_1) → L_{21}Segment(K_{21}, L_{21}) → b_{10}Translate(G'_{10}, v_1) → M_{21}Translate(H'_9, v_1) → N_{21}Segment(M_{21}, N_{21}) → c_{10}Translate(H'_{10}, v_1) → O_{21}Translate(C'_7, v_1) → P_{21}Segment(O_{21}, P_{21}) → d_{10}Translate(A_5, v_1) → Q_{21}Translate(E''_5, v_1) → R_{21}Segment(Q_{21}, R_{21}) → h'''Translate(B_5, v_1) → S_{21}Translate(F''_5, v_1) → T_{21}Segment(S_{21}, T_{21}) → i'''Translate(C_5, v_1) → U_{21}Translate(G''_5, v_1) → V_{21}Segment(U_{21}, V_{21}) → j'''Translate(D_5, v_1) → W_{21}Translate(H''_5, v_1) → Z_{21}Segment(W_{21}, Z_{21}) → k'''Translate(E_5, v_1) → A_{22}Translate(F_5, v_1) → B_{22}Segment(A_{22}, B_{22}) → l'''Translate(A'_{12}, v_1) → C_{22}Translate(I'_9, v_1) → D_{22}Segment(C_{22}, D_{22}) → e_{10}Translate(I'_{10}, v_1) → E_{22}Translate(J'_8, v_1) → F_{22}Segment(E_{22}, F_{22}) → f_{10}Translate(J'_9, v_1) → G_{22}Translate(K'_9, v_1) → H_{22}Segment(G_{22}, H_{22}) → g_{10}Translate(K'_{10}, v_1) → I_{22}Translate(L'_9, v_1) → J_{22}Segment(I_{22}, J_{22}) → h_{10}Translate(L'_{10}, v_1) → K_{22}Translate(M'_9, v_1) → L_{22}Segment(K_{22}, L_{22}) → i_{10}Translate(M'_{10}, v_1) → M_{22}Translate(B'_7, v_1) → N_{22}Segment(M_{22}, N_{22}) → j_{10}Translate(G_5, v_1) → O_{22}Translate(I''_5, v_1) → P_{22}Segment(O_{22}, P_{22}) → m'''Translate(H_5, v_1) → Q_{22}Translate(J''_5, v_1) → R_{22}Segment(Q_{22}, R_{22}) → k_{10}Translate(I_5, v_1) → S_{22}Translate(K''_5, v_1) → T_{22}Segment(S_{22}, T_{22}) → l_{10}Translate(J_5, v_1) → U_{22}Translate(L''_5, v_1) → V_{22}Segment(U_{22}, V_{22}) → m_{10}Translate(K_5, v_1) → W_{22}Translate(M''_5, v_1) → Z_{22}Segment(W_{22}, Z_{22}) → n_{10}Translate(L_5, v_1) → A_{23}Translate(M_5, v_1) → B_{23}Segment(A_{23}, B_{23}) → p_{10}Translate(N_5, v_1) → C_{23}Translate(O_5, v_1) → D_{23}Segment(C_{23}, D_{23}) → q_{10}Translate(P_5, v_1) → E_{23}Translate(Q_5, v_1) → F_{23}Segment(E_{23}, F_{23}) → r_{10}Translate(R_5, v_1) → G_{23}Translate(S_5, v_1) → H_{23}Segment(G_{23}, H_{23}) → s_{10}Translate(T_5, v_1) → I_{23}Translate(U_5, v_1) → J_{23}Segment(I_{23}, J_{23}) → t_{10}Translate(V_5, v_1) → K_{23}Translate(W_5, v_1) → L_{23}Segment(K_{23}, L_{23}) → a_{11}Translate(T'_1, v_1) → M_{23}Translate(Z_5, v_1) → N_{23}Segment(M_{23}, N_{23}) → b_{11}Translate(U'_1, v_1) → O_{23}Translate(A_6, v_1) → P_{23}Segment(O_{23}, P_{23}) → c_{11}Translate(V'_1, v_1) → Q_{23}Translate(B_6, v_1) → R_{23}Segment(Q_{23}, R_{23}) → d_{11}Translate(W'_1, v_1) → S_{23}Translate(C_6, v_1) → T_{23}Segment(S_{23}, T_{23}) → e_{11}Translate(Z'_1, v_1) → U_{23}Translate(D_6, v_1) → V_{23}Segment(U_{23}, V_{23}) → f_{11}Translate(E_6, v_1) → W_{23}Translate(F_6, v_1) → Z_{23}Segment(W_{23}, Z_{23}) → g_{11}Translate(G_6, v_1) → A_{24}Translate(H_6, v_1) → B_{24}Segment(A_{24}, B_{24}) → h_{11}Translate(I_6, v_1) → C_{24}Translate(J_6, v_1) → D_{24}Segment(C_{24}, D_{24}) → i_{11}Translate(K_6, v_1) → E_{24}Translate(L_6, v_1) → F_{24}Segment(E_{24}, F_{24}) → j_{11}Translate(M_6, v_1) → G_{24}Translate(N_6, v_1) → H_{24}Segment(G_{24}, H_{24}) → k_{11}Translate(O_6, v_1) → I_{24}Translate(P_6, v_1) → J_{24}Segment(I_{24}, J_{24}) → l_{11}Translate(Q_6, v_1) → K_{24}Translate(R_6, v_1) → L_{24}Segment(K_{24}, L_{24}) → m_{11}Translate(S_6, v_1) → M_{24}Translate(T_6, v_1) → N_{24}Segment(M_{24}, N_{24}) → n_{11}Translate(U_6, v_1) → O_{24}Translate(V_6, v_1) → P_{24}Segment(O_{24}, P_{24}) → p_{11}Translate(W_6, v_1) → Q_{24}Translate(Z_6, v_1) → R_{24}Segment(Q_{24}, R_{24}) → q_{11}Translate(A_7, v_1) → S_{24}Translate(B_7, v_1) → T_{24}Segment(S_{24}, T_{24}) → r_{11}Translate(C_7, v_1) → U_{24}Translate(D_7, v_1) → V_{24}Segment(U_{24}, V_{24}) → s_{11}Translate(E_7, v_1) → W_{24}Translate(F_7, v_1) → Z_{24}Segment(W_{24}, Z_{24}) → t_{11}Translate(G_7, v_1) → A_{25}Translate(H_7, v_1) → B_{25}Segment(A_{25}, B_{25}) → a_{12}Translate(I_7, v_1) → C_{25}Translate(J_7, v_1) → D_{25}Segment(C_{25}, D_{25}) → b_{12}Translate(K_7, v_1) → E_{25}Translate(L_7, v_1) → F_{25}Segment(E_{25}, F_{25}) → c_{12}Translate(M_7, v_1) → G_{25}Translate(N_7, v_1) → H_{25}Segment(G_{25}, H_{25}) → d_{12}Translate(O_7, v_1) → I_{25}Translate(P_7, v_1) → J_{25}Segment(I_{25}, J_{25}) → e_{12}Translate(Q_7, v_1) → K_{25}Translate(R_7, v_1) → L_{25}Segment(K_{25}, L_{25}) → f_{12}Translate(S_7, v_1) → M_{25}Translate(T_7, v_1) → N_{25}Segment(M_{25}, N_{25}) → g_{12}Translate(U_7, v_1) → O_{25}Translate(V_7, v_1) → P_{25}Segment(O_{25}, P_{25}) → h_{12}Translate(W_7, v_1) → Q_{25}Translate(Z_7, v_1) → R_{25}Segment(Q_{25}, R_{25}) → i_{12}Translate(A_8, v_1) → S_{25}Translate(B_8, v_1) → T_{25}Segment(S_{25}, T_{25}) → j_{12}Translate(C_8, v_1) → U_{25}Translate(D_8, v_1) → V_{25}Segment(U_{25}, V_{25}) → k_{12}Translate(E_8, v_1) → W_{25}Translate(F_8, v_1) → Z_{25}Segment(W_{25}, Z_{25}) → l_{12}Translate(G_8, v_1) → A_{26}Translate(H_8, v_1) → B_{26}Segment(A_{26}, B_{26}) → m_{12}Translate(I_8, v_1) → C_{26}Translate(J_8, v_1) → D_{26}Segment(C_{26}, D_{26}) → n_{12}Translate(K_8, v_1) → E_{26}Translate(L_8, v_1) → F_{26}Segment(E_{26}, F_{26}) → p_{12}Translate(M_8, v_1) → G_{26}Translate(N_8, v_1) → H_{26}Segment(G_{26}, H_{26}) → q_{12}Translate(O_8, v_1) → I_{26}Translate(P_8, v_1) → J_{26}Segment(I_{26}, J_{26}) → r_{12}Translate(Q_8, v_1) → K_{26}Translate(R_8, v_1) → L_{26}Segment(K_{26}, L_{26}) → s_{12}Translate(S_8, v_1) → M_{26}Translate(T_8, v_1) → N_{26}Segment(M_{26}, N_{26}) → t_{12}Translate(U_8, v_1) → O_{26}Translate(V_8, v_1) → P_{26}Segment(O_{26}, P_{26}) → p_{15}Translate(W_8, v_1) → Q_{26}Translate(Z_8, v_1) → R_{26}Segment(Q_{26}, R_{26}) → q_{15}Translate(A_9, v_1) → S_{26}Translate(B_9, v_1) → T_{26}Segment(S_{26}, T_{26}) → r_{15}Translate(C_9, v_1) → U_{26}Translate(D_9, v_1) → V_{26}Segment(U_{26}, V_{26}) → s_{15}Translate(E_9, v_1) → W_{26}Translate(F_9, v_1) → Z_{26}Segment(W_{26}, Z_{26}) → t_{15}Translate(G_9, v_1) → A_{27}Translate(H_9, v_1) → B_{27}Segment(A_{27}, B_{27}) → a_{16}Translate(I_9, v_1) → C_{27}Translate(J_9, v_1) → D_{27}Segment(C_{27}, D_{27}) → b_{16}Translate(T'', v_1) → T'''Translate(K_9, v_1) → E_{27}Segment(T''', E_{27}) → c_{16}Translate(U'', v_1) → U'''Translate(L_9, v_1) → F_{27}Segment(U''', F_{27}) → d_{16}Translate(V'', v_1) → V'''Translate(M_9, v_1) → G_{27}Segment(V''', G_{27}) → e_{16}Translate(W'', v_1) → W'''Translate(N_9, v_1) → H_{27}Segment(W''', H_{27}) → f_{16}Translate(Z'', v_1) → Z'''Translate(O_9, v_1) → I_{27}Segment(Z''', I_{27}) → g_{16}Translate(P_9, v_1) → J_{27}Translate(Q_9, v_1) → K_{27}Segment(J_{27}, K_{27}) → h_{16}Translate(R_9, v_1) → L_{27}Translate(S_9, v_1) → M_{27}Segment(L_{27}, M_{27}) → i_{16}Translate(T_9, v_1) → N_{27}Translate(U_9, v_1) → O_{27}Segment(N_{27}, O_{27}) → j_{16}Translate(V_9, v_1) → P_{27}Translate(W_9, v_1) → Q_{27}Segment(P_{27}, Q_{27}) → k_{16}Translate(Z_9, v_1) → R_{27}Translate(A_{10}, v_1) → S_{27}Segment(R_{27}, S_{27}) → l_{16}Translate(B_{10}, v_1) → T_{27}Translate(C_{10}, v_1) → U_{27}Segment(T_{27}, U_{27}) → m_{16}Translate(D_{10}, v_1) → V_{27}Translate(E_{10}, v_1) → W_{27}Segment(V_{27}, W_{27}) → n_{16}Translate(F_{10}, v_1) → Z_{27}Translate(G_{10}, v_1) → A_{28}Segment(Z_{27}, A_{28}) → p_{16}Translate(H_{10}, v_1) → B_{28}Translate(I_{10}, v_1) → C_{28}Segment(B_{28}, C_{28}) → q_{16}Translate(J_{10}, v_1) → D_{28}Translate(K_{10}, v_1) → E_{28}Segment(D_{28}, E_{28}) → r_{16}Translate(L_{10}, v_1) → F_{28}Translate(M_{10}, v_1) → G_{28}Segment(F_{28}, G_{28}) → s_{16}Translate(N_{10}, v_1) → H_{28}Translate(O_{10}, v_1) → I_{28}Segment(H_{28}, I_{28}) → t_{16}Translate(w, v_1) → w'_2Translate(z, v_1) → z'_1Translate(w', v_1) → w''_1Translate(u_1, v_1) → w_1Translate(w'_1, v_1) → z_1Translate(z', v_1) → z''Translate(w'', v_1) → w'''Translate(C', v_1) → C''_3Translate(A', v_1) → A''_4Translate(A'_2, v_1) → J_{28}Translate(B', v_1) → B''_3Translate(A'', v_1) → A'''_3Translate(O, v_1) → O'_3Translate(N, v_1) → N'_3Translate(P, v_1) → P'_3Translate(Q, v_1) → Q'_3Translate(R, v_1) → R'_3Translate(C'_2, v_1) → K_{28}Translate(H'_2, v_1) → L_{28}Translate(G'_2, v_1) → M_{28}Translate(F'_2, v_1) → N_{28}Translate(E'_2, v_1) → O_{28}Translate(A'_4, v_1) → P_{28}Translate(I'_2, v_1) → Q_{28}Translate(K'_2, v_1) → R_{28}Translate(L'_2, v_1) → S_{28}Translate(M'_2, v_1) → T_{28}Translate(B'_2, v_1) → U_{28}Translate(E'', v_1) → E'''_2Translate(F'', v_1) → F'''_2Translate(G'', v_1) → G'''_2Translate(H'', v_1) → H'''_2Translate(D', v_1) → D''_2Translate(M'', v_1) → M'''_2Translate(L'', v_1) → L'''_2Translate(K'', v_1) → K'''_2Translate(J'', v_1) → J'''_1Translate(I'', v_1) → I'''_2Translate(C'', v_1) → C'''_2Translate(A''_1, v_1) → V_{28}Translate(I_1, v_1) → W_{28}Translate(B'', v_1) → B'''_2Translate(A''', v_1) → Z_{28}Translate(O', v_1) → O''_2Translate(N', v_1) → N''_2Translate(P', v_1) → P''_2Translate(Q', v_1) → Q''_2Translate(R', v_1) → R''_2Translate(S, v_1) → S'_1Translate(J_1, v_1) → A_{29}Translate(K_1, v_1) → B_{29}Translate(L_1, v_1) → C_{29}Translate(M_1, v_1) → D_{29}Translate(N_1, v_1) → E_{29}Translate(O_1, v_1) → F_{29}Translate(Q_1, v_1) → G_{29}Translate(R_1, v_1) → H_{29}Translate(S_1, v_1) → I_{29}Translate(T_1, v_1) → J_{29}Translate(E''', v_1) → K_{29}Translate(F''', v_1) → L_{29}Translate(G''', v_1) → M_{29}Translate(H''', v_1) → N_{29}Translate(D'', v_1) → D'''_1Translate(M''', v_1) → O_{29}Translate(L''', v_1) → P_{29}Translate(K''', v_1) → Q_{29}Translate(J''', v_1) → R_{29}Translate(I''', v_1) → S_{29}Translate(C''_1, v_1) → T_{29}Translate(A''_2, v_1) → U_{29}Translate(A_4, v_1) → V_{29}Translate(B''_1, v_1) → W_{29}Translate(A'''_1, v_1) → Z_{29}Translate(O'_1, v_1) → A_{30}Translate(N'_1, v_1) → B_{30}Translate(P'_1, v_1) → C_{30}Translate(Q'_1, v_1) → D_{30}Translate(R'_1, v_1) → E_{30}Translate(C''', v_1) → F_{30}Translate(B_4, v_1) → G_{30}Translate(B''', v_1) → H_{30}Translate(C_4, v_1) → I_{30}Translate(O'', v_1) → O'''_1Translate(N'', v_1) → N'''_1Translate(P'', v_1) → P'''_1Translate(Q'', v_1) → Q'''_1Translate(R'', v_1) → R'''_1Translate(C''_2, v_1) → J_{30}Translate(A''_3, v_1) → K_{30}Translate(P_{10}, v_1) → L_{30}Translate(B''_2, v_1) → M_{30}Translate(A'''_2, v_1) → N_{30}Translate(O'_2, v_1) → O_{30}Translate(N'_2, v_1) → P_{30}Translate(P'_2, v_1) → Q_{30}Translate(Q'_2, v_1) → R_{30}Translate(R'_2, v_1) → S_{30}Translate(Q_{10}, v_1) → T_{30}Translate(R_{10}, v_1) → U_{30}Translate(S_{10}, v_1) → V_{30}Translate(T_{10}, v_1) → W_{30}Translate(U_{10}, v_1) → Z_{30}Translate(V_{10}, v_1) → A_{31}Translate(W_{10}, v_1) → B_{31}Translate(Z_{10}, v_1) → C_{31}Translate(A_{11}, v_1) → D_{31}Translate(B_{11}, v_1) → E_{31}Translate(C_{11}, v_1) → F_{31}Translate(E'''_1, v_1) → G_{31}Translate(F'''_1, v_1) → H_{31}Translate(G'''_1, v_1) → I_{31}Translate(H'''_1, v_1) → J_{31}Translate(D''_1, v_1) → K_{31}Translate(M'''_1, v_1) → L_{31}Translate(L'''_1, v_1) → M_{31}Translate(K'''_1, v_1) → N_{31}Translate(I'''_1, v_1) → O_{31}Translate(C'''_1, v_1) → P_{31}Translate(D_{11}, v_1) → Q_{31}Translate(E_{11}, v_1) → R_{31}Translate(B'''_1, v_1) → S_{31}Translate(F_{11}, v_1) → T_{31}Translate(O''_1, v_1) → U_{31}Translate(N''_1, v_1) → V_{31}Translate(P''_1, v_1) → W_{31}Translate(Q''_1, v_1) → Z_{31}Translate(R''_1, v_1) → A_{32}Translate(S', v_1) → S''Translate(G_{11}, v_1) → B_{32}Translate(H_{11}, v_1) → C_{32}Translate(I_{11}, v_1) → D_{32}Translate(J_{11}, v_1) → E_{32}Translate(K_{11}, v_1) → F_{32}Translate(L_{11}, v_1) → G_{32}Translate(M_{11}, v_1) → H_{32}Translate(N_{11}, v_1) → I_{32}Translate(O_{11}, v_1) → J_{32}Translate(P_{11}, v_1) → K_{32}Translate(Q_{11}, v_1) → L_{32}Translate(R_{11}, v_1) → M_{32}Translate(S_{11}, v_1) → N_{32}Translate(T_{11}, v_1) → O_{32}Translate(D''', v_1) → P_{32}Translate(U_{11}, v_1) → Q_{32}Translate(V_{11}, v_1) → R_{32}Translate(W_{11}, v_1) → S_{32}Translate(Z_{11}, v_1) → T_{32}Translate(A_{12}, v_1) → U_{32}Translate(B_{12}, v_1) → V_{32}Translate(C_{12}, v_1) → W_{32}Translate(D_{12}, v_1) → Z_{32}Translate(E_{12}, v_1) → A_{33}Translate(F_{12}, v_1) → B_{33}Translate(G_{12}, v_1) → C_{33}Translate(H_{12}, v_1) → D_{33}Translate(I_{12}, v_1) → E_{33}Translate(J_{12}, v_1) → F_{33}Translate(K_{12}, v_1) → G_{33}Translate(L_{12}, v_1) → H_{33}Translate(M_{12}, v_1) → I_{33}Translate(N_{12}, v_1) → J_{33}Translate(O_{12}, v_1) → K_{33}Translate(O''', v_1) → L_{33}Translate(N''', v_1) → M_{33}Translate(P''', v_1) → N_{33}Translate(Q''', v_1) → O_{33}Translate(R''', v_1) → P_{33}
AI Drawing Prompt Reference
Draw a tessellation pattern generated from a rectangle. Start by drawing rectangle ABCD. Then, draw two perpendicular lines b and c through points A and B. Take point C on line b and point D on line c. Draw two perpendicular lines d and e through points C and D, and their intersection is point E. Connect points C and A, D and B, C and D, A and E, E and F, F and G, G and H, H and C. Translate point C and A using vector CD to get C' and A', and connect C' and A'. Continue by translating point A and E using vector CD to get A'1 and E', and connect A'1 and E'. Translate point E and F using vector CD to get E'1 and F', and connect E'1 and F'. Translate point F and G using vector CD to get F'1 and G', and connect F'1 and G'. Translate point G and H using vector CD to get G'1 and H', and connect G'1 and H'. Translate point H and C using vector CD to get H'1 and C', and connect H'1 and C'. Finally, translate point A and B using vector AC to get A'_2 and B', and connect A'_2 and B'.
The prompt above was compiled from the original drawing commands and is for reference only.