Escher Style Unicorn

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2023-03-22 22:44

Polygon Vector Transformation

In collections geometriadinamica.es

This example demonstrates an Escher-style unicorn. Key mathematical concepts include geometric transformations, vectors, and polygons. Using GeoGebra commands such as If, Line, Vector, and Translate, symmetrical and repetitive patterns can be constructed. Suitable for high school mathematics, particularly in coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

If(a < 2.3, 0, If[a < 3.3, a - 2.3, 1]) → d3
If(a < 1.2, 0, If[a < 2.2, a - 1.2, 1]) → d2
If(a < 1, a, 1) → d1
If(a < 3.4, 0, If[a < 4.4, a - 3.4, 1]) → d4
If(a < 4.5, 0, If[a < 5.5, a - 4.5, 1]) → d5
If(a < 5.6, 0, If[a < 6.6, a - 5.6, 1]) → d6
If(a < 6.7, 0, If[a < 7.7, a - 6.7, 1]) → d7
If(a < 7.8, 0, If[a < 8.8, a - 7.8, 1]) → d8
Line(C, D) → b
OrthogonalLine(E, b) → d
Point(b) → F
OrthogonalLine(F, b) → e
Point(d) → G
OrthogonalLine(G, d) → f
Point(f) → H
Point(f) → Q
Mirror(H, f) → H'
Mirror(I, f) → I'
Mirror(Q, f) → Q'
Vector(Q - (0.5, 0), G - (0.5, 0)) → u
Translate(Q', u) → Q''
Intersect(e, f) → R
Point(e) → S
Point(e) → Z
Point(e) → A_1
Intersect(b, d) → D_1
Vector(F, D_1) → g
Translate(A_1, g) → E_1
Translate(Z, g) → Z'
Translate(S, g) → S'
Point(g) → U_1
Polygon(G, E_1, Z', S', N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, F_1, F, S, T, U, V, W, Z, A_1, B_1, C_1, G_1, L, M, N, O, P, Q, H_1, I_1, J_1, K_1, L_1, M_1) → poly4, g_2, m_2, z'_1, s'_1, n_2, o_2, p_2, q_2, r_2, s_2, t_2, e_2, u_3, f_3, s_3, t_3, u_4, v_2, w_1, z_1, a_2, b_2, f_2, c_2, l_4, m_3, n_3, o_3, p_3, q_3, g_3, h_3, i_3, j_3, k_3, l_3
Dilate(Q, 1 - d1, Q) → Q'_1
Translate(L, h) → L'_2
Translate(K, h) → K'_2
Translate(J, h) → J'_2
Translate(I, h) → I'_2
Translate(H, h) → H'_2
Translate(R, h) → R'
Translate(S, h) → S'_1
Translate(T, h) → T'
Translate(U, h) → U'
Translate(V, h) → V'
Translate(W, h) → W'
Translate(Z, h) → Z'_1
Translate(A_1, h) → V_1
Translate(B_1, h) → W_1
Translate(C_1, h) → Z_1
Polygon(L'_2, K'_2, W', Z'_1, V_1, W_1, Z_1, J'_2, I'_2, H'_2, R', S'_1, T', U', V') → poly2', l'_2, v', w', z'_2, v_3, w_2, z_2, k'_2, j'_2, i'_2, h'_2, r', s'_2, t', u'
Translate(E_1, w) → A_2
Translate(F_1, w) → B_2
Translate(G_1, w) → C_2
Translate(H_1, w) → D_2
Translate(I_1, w) → E_2
Translate(J_1, w) → F_2
Translate(K_1, w) → G_2
Translate(L_1, w) → H_2
Translate(M_1, w) → I_2
Translate(Z', w) → Z''
Translate(S', w) → S''
Translate(N_1, w) → J_2
Translate(O_1, w) → K_2
Translate(P_1, w) → L_2
Translate(Q_1, w) → M_2
Translate(R_1, w) → N_2
Translate(S_1, w) → O_2
Translate(T_1, w) → P_2
Translate(U_1, w) → Q_2
Translate(D_1, w) → R_2
Polygon(A_2, B_2, S'', J_2, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, Z'') → poly3', a_1, z'', s'', j_1, k_1, l_1, m_4, n_4, o_4, p_4, q_4, b_1, r_3, c_1, d_2, e_3, f_4, g_4, h_1, i_1
Point(b) → U_2
Mirror(U_2, b) → Z_2
Translate(Z_2, u) → C_3
Polygon(G, E_1, Z', S', N_1, O_1, P_1, Q_1, R_1, S_1, T_1, D_1, F_1, U_2, T_2, S_2, F, S, T, U, V, W, Z, G_1, A_1, B_1, C_1, L, M, N, O, P, Q, H_1, I_1, J_1, K_1, L_1, M_1) → poly3, g_1, m_1, z', s', n_1, o_1, p_1, q_1, r_1, s_4, t_4, e_1, d_1, u_1, t_5, s_5, f_6, s, t, u_5, v_4, w_4, f_5, z, a_4, b_4, c_4, l, m, n, o, p, q, g_5, h_2, i_2, j_2, k_2, l_2
Polygon(P_2, R_2, I_2, Z'', S'', J_2, K_2, L_2, M_2, N_2, O_2, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2) → poly5, p_5, h_4, i_4, z''_1, s''_1, j_4, k_4, l_5, m_5, n_5, o_5, r_4, a_5, b_5, c_5, d_3, e_4, f_7, g_6
Dilate(U_2, 1 - d1, U_2) → F_3
Dilate(G, 1 - d5, G) → G'
Mirror(f, b) → f'_3
Line(G, R) → r
Line(F, D_1) → b_7
Vector(Q, G) → zz
Polygon(J, K, L, M, N, O, P, Q) → poly1, j, k, l_6, m_6, n_6, o_6, p_6, q_5
Mirror(J, r) → J'
Mirror(K, r) → K'
Mirror(L, r) → L'
Mirror(M, r) → M'
Mirror(N, r) → N'
Mirror(O, r) → O'
Mirror(P, r) → P'
Mirror(Q, r) → Q'_2
Polygon(J', K', L', M', N', O', P', Q'_2) → poly1', j', k', l', m', n', o', p', q'_2
Length(zz) → z1
Min(z1, ((a - 1) * z1)) → z2
Circle(V_2, z2) → f_1
Line(V_2, b_7) → s_1
Intersect(f_1, s_1, 2) → W_2
Vector(V_2, W_2) → v_1
Translate(J', v_1) → J''
Translate(K', v_1) → K''
Translate(L', v_1) → L''
Translate(M', v_1) → M''
Translate(N', v_1) → N''
Translate(O', v_1) → O''
Translate(P', v_1) → P''
Translate(Q'_2, v_1) → A_3
Polygon(J'', K'', L'', M'', N'', O'', P'', A_3) → poly1'', j'', k'', l'', m'', n'', o'', p'', a_3
Mirror(J', f) → J''_1
Mirror(K', f) → K''_1
Mirror(L', f) → L''_1
Mirror(M', f) → M''_1
Mirror(N', f) → N''_1
Mirror(O', f) → O''_1
Mirror(P', f) → P''_1
Mirror(Q'_2, f) → B_3
Polygon(J''_1, K''_1, L''_1, M''_1, N''_1, O''_1, P''_1, B_3) → poly1''_1, j''_1, k''_1, l''_1, m''_1, n''_1, o''_1, p''_1, b_3
Mirror(L'_2, f) → D_3
Mirror(K'_2, f) → E_3
Mirror(J'_2, f) → G_3
Mirror(I'_2, f) → H_3
Mirror(H'_2, f) → I_3
Mirror(R', f) → R''
Mirror(S'_1, f) → J_3
Mirror(T', f) → T''
Mirror(U', f) → U''
Mirror(V', f) → V''
Mirror(W', f) → W''
Mirror(Z'_1, f) → K_3
Mirror(V_1, f) → L_3
Mirror(W_1, f) → M_3
Mirror(Z_1, f) → N_3
Polygon(D_3, E_3, W'', K_3, L_3, M_3, N_3, G_3, H_3, I_3, R'', J_3, T'', U'', V'') → poly2'', d_4, v'', w'', k_5, l_7, m_7, n_7, e_5, g_7, h_5, i_5, r'', j_5, t'', u''
Mirror(G, f) → G'_1
Mirror(E_1, f) → O_3
Mirror(F_1, f) → P_3
Mirror(G_1, f) → Q_3
Mirror(H_1, f) → R_3
Mirror(I_1, f) → S_3
Mirror(J_1, f) → T_3
Mirror(K_1, f) → U_3
Mirror(L_1, f) → V_3
Mirror(M_1, f) → W_3
Mirror(Z', f) → Z''_1
Mirror(S', f) → S''_1
Mirror(N_1, f) → Z_3
Mirror(O_1, f) → A_4
Mirror(P_1, f) → B_4
Mirror(Q_1, f) → C_4
Mirror(R_1, f) → D_4
Mirror(S_1, f) → E_4
Mirror(T_1, f) → F_4
Mirror(D_1, f) → G_4
Mirror(U_2, f) → H_4
Mirror(T_2, f) → I_4
Mirror(S_2, f) → J_4
Mirror(F, f) → F'
Mirror(S, f) → S'_2
Mirror(T, f) → T'_1
Mirror(U, f) → U'_1
Mirror(V, f) → V'_1
Mirror(W, f) → W'_1
Mirror(Z, f) → Z'_2
Mirror(A_1, f) → K_4
Mirror(B_1, f) → L_4
Mirror(C_1, f) → M_4
Mirror(L, f) → L'_1
Mirror(M, f) → M'_1
Mirror(N, f) → N'_1
Mirror(O, f) → O'_1
Mirror(P, f) → P'_1
Mirror(Q, f) → Q'_3
Polygon(G'_1, O_3, Z''_1, S''_1, Z_3, A_4, B_4, C_4, D_4, E_4, F_4, G_4, P_3, H_4, I_4, J_4, F', S'_2, T'_1, U'_1, V'_1, W'_1, Z'_2, Q_3, K_4, L_4, M_4, L'_1, M'_1, N'_1, O'_1, P'_1, Q'_3, R_3, S_3, T_3, U_3, V_3, W_3) → poly3'_1, g'_1, w_3, z''_2, s''_2, z_3, a_6, b_6, c_3, d_5, e_6, f_8, o_7, g_8, h_6, i_6, j_6, f', s'_3, t'_1, u'_1, v'_1, w'_1, p_7, z'_3, k_6, l_8, m_8, l'_1, m'_1, n'_1, o'_1, p'_1, q'_3, q_6, r_5, s_6, t_1, u_2, v_5
Mirror(J'', f) → J'''
Mirror(K'', f) → K'''
Mirror(L'', f) → L'''
Mirror(M'', f) → M'''
Mirror(N'', f) → N'''
Mirror(O'', f) → O'''
Mirror(P'', f) → P'''
Mirror(A_3, f) → N_4
Polygon(J''', K''', L''', M''', N''', O''', P''', N_4) → poly1''', j''', k''', l''', m''', n''', o''', p''', n_8
Mirror(P_2, f) → O_4
Mirror(R_2, f) → P_4
Mirror(A_2, f) → Q_4
Mirror(B_2, f) → R_4
Mirror(C_2, f) → S_4
Mirror(D_2, f) → T_4
Mirror(E_2, f) → U_4
Mirror(F_2, f) → V_4
Mirror(G_2, f) → W_4
Mirror(H_2, f) → Z_4
Mirror(I_2, f) → A_5
Mirror(Z'', f) → Z'''
Mirror(S'', f) → S'''
Mirror(J_2, f) → B_5
Mirror(K_2, f) → C_5
Mirror(L_2, f) → D_5
Mirror(M_2, f) → E_5
Mirror(N_2, f) → F_5
Mirror(O_2, f) → G_5
Polygon(O_4, P_4, A_5, Z''', S''', B_5, C_5, D_5, E_5, F_5, G_5, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4) → poly5', o_8, z_4, a_7, z''', s''', b_8, c_6, d_6, e_7, f_9, g_9, p_8, q_7, r_6, s_7, t_6, u_6, v_6, w_5
Length(u) → z5
Min(z5, ((a - 5) * z5)) → z6
Line(H_5, f) → c_7
Circle(H_5, z6) → d_7
Intersect(d_7, c_7, 2) → I_5
Vector(H_5, I_5) → z_5
Translate(G'_1, z_5) → J_5
Translate(O_3, z_5) → K_5
Translate(P_3, z_5) → L_5
Translate(Q_3, z_5) → M_5
Translate(R_3, z_5) → N_5
Translate(S_3, z_5) → O_5
Translate(T_3, z_5) → P_5
Translate(U_3, z_5) → Q_5
Translate(V_3, z_5) → R_5
Translate(W_3, z_5) → S_5
Translate(Z''_1, z_5) → T_5
Translate(S''_1, z_5) → U_5
Translate(Z_3, z_5) → V_5
Translate(A_4, z_5) → W_5
Translate(B_4, z_5) → Z_5
Translate(C_4, z_5) → A_6
Translate(D_4, z_5) → B_6
Translate(E_4, z_5) → C_6
Translate(F_4, z_5) → D_6
Translate(G_4, z_5) → E_6
Translate(H_4, z_5) → F_6
Translate(I_4, z_5) → G_6
Translate(J_4, z_5) → H_6
Translate(F', z_5) → F''
Translate(S'_2, z_5) → I_6
Translate(T'_1, z_5) → J_6
Translate(U'_1, z_5) → K_6
Translate(V'_1, z_5) → L_6
Translate(W'_1, z_5) → M_6
Translate(Z'_2, z_5) → N_6
Translate(K_4, z_5) → O_6
Translate(L_4, z_5) → P_6
Translate(M_4, z_5) → Q_6
Translate(L'_1, z_5) → R_6
Translate(M'_1, z_5) → S_6
Translate(N'_1, z_5) → T_6
Translate(O'_1, z_5) → U_6
Translate(P'_1, z_5) → V_6
Translate(Q'_3, z_5) → W_6
Polygon(J_5, K_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, L_5, F_6, G_6, H_6, F'', I_6, J_6, K_6, L_6, M_6, N_6, M_5, O_6, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, N_5, O_5, P_5, Q_5, R_5, S_5) → poly2, j_7, s_8, t_7, u_7, v_7, w_6, z_6, a_8, b_9, c_8, d_8, k_7, e_8, f_{10}, g_{10}, h_7, f'', i_7, j_8, k_8, l_{10}, m_{10}, l_9, n_{10}, o_{10}, p_{10}, q_9, r_8, s_9, t_8, u_8, v_8, w_7, m_9, n_9, o_9, p_9, q_8, r_7
Translate(O_4, z_5) → Z_6
Translate(P_4, z_5) → A_7
Translate(Q_4, z_5) → B_7
Translate(R_4, z_5) → C_7
Translate(S_4, z_5) → D_7
Translate(T_4, z_5) → E_7
Translate(U_4, z_5) → F_7
Translate(V_4, z_5) → G_7
Translate(W_4, z_5) → H_7
Translate(Z_4, z_5) → I_7
Translate(A_5, z_5) → J_7
Translate(Z''', z_5) → K_7
Translate(S''', z_5) → L_7
Translate(B_5, z_5) → M_7
Translate(C_5, z_5) → N_7
Translate(D_5, z_5) → O_7
Translate(E_5, z_5) → P_7
Translate(F_5, z_5) → Q_7
Translate(G_5, z_5) → R_7
Polygon(Z_6, A_7, J_7, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, R_7, B_7, C_7, D_7, E_7, F_7, G_7, H_7, I_7) → poly5'', z_7, i_8, j_9, k_9, l_{11}, m_{11}, n_{11}, o_{11}, p_{11}, q_{10}, r_9, a_9, b_{10}, c_9, d_9, e_9, f_{11}, g_{11}, h_8
Translate(D_3, z_5) → S_7
Translate(E_3, z_5) → T_7
Translate(G_3, z_5) → U_7
Translate(H_3, z_5) → V_7
Translate(I_3, z_5) → W_7
Translate(R'', z_5) → R'''
Translate(J_3, z_5) → Z_7
Translate(T'', z_5) → T'''
Translate(U'', z_5) → U'''
Translate(V'', z_5) → V'''
Translate(W'', z_5) → W'''
Translate(K_3, z_5) → A_8
Translate(L_3, z_5) → B_8
Translate(M_3, z_5) → C_8
Translate(N_3, z_5) → D_8
Polygon(S_7, T_7, W''', A_8, B_8, C_8, D_8, U_7, V_7, W_7, R''', Z_7, T''', U''', V''') → poly2''', s_{10}, v''', w''', a_{10}, b_{11}, c_{10}, d_{10}, t_9, u_9, v_9, w_8, r''', z_8, t''', u'''
Translate(J''', z_5) → E_8
Translate(K''', z_5) → F_8
Translate(L''', z_5) → G_8
Translate(M''', z_5) → H_8
Translate(N''', z_5) → I_8
Translate(O''', z_5) → J_8
Translate(P''', z_5) → K_8
Translate(N_4, z_5) → L_8
Polygon(E_8, F_8, G_8, H_8, I_8, J_8, K_8, L_8) → poly6, e_{10}, f_{12}, g_{12}, h_9, i_9, j_{10}, k_{10}, l_{12}
Mirror(F, D_1) → F'_1
Mirror(D_1, G) → M_8
Mirror(F, R) → F'_2
Vector(F'_2, M_8) → v1
Vector(F'_2, D_1) → v2
Line(O_8, v1) → h_{10}
Line(O_8, v2) → i_{10}
Length(v1) → z71
Length(v2) → z81
Min(z71, ((a - 7) * z71)) → z72
Min(z81, ((a - 7) * z81)) → z82
Circle(O_8, z72) → r_{10}
Intersect(r_{10}, h_{10}, 2) → P_8
Vector(O_8, P_8) → w_9
Circle(O_8, z82) → t_{10}
Intersect(t_{10}, i_{10}, 2) → Q_8
Vector(O_8, Q_8) → z_9
Translate(G, z_9) → G'_2
Translate(E_1, z_9) → R_8
Translate(F_1, z_9) → S_8
Translate(G_1, z_9) → T_8
Translate(H_1, z_9) → U_8
Translate(I_1, z_9) → V_8
Translate(J_1, z_9) → W_8
Translate(K_1, z_9) → Z_8
Translate(L_1, z_9) → A_9
Translate(M_1, z_9) → B_9
Translate(Z', z_9) → Z''_2
Translate(S', z_9) → S''_2
Translate(N_1, z_9) → C_9
Translate(O_1, z_9) → D_9
Translate(P_1, z_9) → E_9
Translate(Q_1, z_9) → F_9
Translate(R_1, z_9) → G_9
Translate(S_1, z_9) → H_9
Translate(T_1, z_9) → I_9
Translate(D_1, z_9) → J_9
Translate(U_2, z_9) → K_9
Translate(T_2, z_9) → L_9
Translate(S_2, z_9) → M_9
Translate(F, z_9) → F'_3
Translate(S, z_9) → S'_3
Translate(T, z_9) → T'_2
Translate(U, z_9) → U'_2
Translate(V, z_9) → V'_2
Translate(W, z_9) → W'_2
Translate(Z, z_9) → Z'_3
Translate(A_1, z_9) → N_9
Translate(B_1, z_9) → O_9
Translate(C_1, z_9) → P_9
Translate(L, z_9) → L'_3
Translate(M, z_9) → M'_2
Translate(N, z_9) → N'_2
Translate(O, z_9) → O'_2
Translate(P, z_9) → P'_2
Translate(Q, z_9) → Q'_4
Polygon(G'_2, R_8, Z''_2, S''_2, C_9, D_9, E_9, F_9, G_9, H_9, I_9, J_9, S_8, K_9, L_9, M_9, F'_3, S'_3, T'_2, U'_2, V'_2, W'_2, Z'_3, T_8, N_9, O_9, P_9, L'_3, M'_2, N'_2, O'_2, P'_2, Q'_4, U_8, V_8, W_8, Z_8, A_9, B_9) → poly3'_2, g'_2, b_{12}, z''_3, s''_3, c_{11}, d_{11}, e_{11}, f_{13}, g_{13}, h_{11}, i_{11}, r_{11}, j_{11}, k_{11}, l_{13}, m_{12}, f'_1, s'_4, t'_2, u'_2, v'_2, w'_2, s_{11}, z'_4, n_{12}, o_{12}, p_{12}, l'_3, m'_2, n'_2, o'_2, p'_2, q'_4, t_{11}, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}
Translate(P_2, z_9) → Q_9
Translate(R_2, z_9) → R_9
Translate(A_2, z_9) → S_9
Translate(B_2, z_9) → T_9
Translate(C_2, z_9) → U_9
Translate(D_2, z_9) → V_9
Translate(E_2, z_9) → W_9
Translate(F_2, z_9) → Z_9
Translate(G_2, z_9) → A_{10}
Translate(H_2, z_9) → B_{10}
Translate(I_2, z_9) → C_{10}
Translate(Z'', z_9) → Z'''_1
Translate(S'', z_9) → S'''_1
Translate(J_2, z_9) → D_{10}
Translate(K_2, z_9) → E_{10}
Translate(L_2, z_9) → F_{10}
Translate(M_2, z_9) → G_{10}
Translate(N_2, z_9) → H_{10}
Translate(O_2, z_9) → I_{10}
Polygon(Q_9, R_9, C_{10}, Z'''_1, S'''_1, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}) → poly5'_1, q_{11}, b_{13}, c_{12}, z'''_1, s'''_1, d_{12}, e_{12}, f_{14}, g_{14}, h_{12}, i_{12}, r_{12}, s_{12}, t_{12}, u_{11}, v_{11}, w_{11}, z_{11}, a_{12}
Translate(L'_2, z_9) → J_{10}
Translate(K'_2, z_9) → K_{10}
Translate(J'_2, z_9) → L_{10}
Translate(I'_2, z_9) → M_{10}
Translate(H'_2, z_9) → N_{10}
Translate(R', z_9) → R''_1
Translate(S'_1, z_9) → O_{10}
Translate(T', z_9) → T''_1
Translate(U', z_9) → U''_1
Translate(V', z_9) → V''_1
Translate(W', z_9) → W''_1
Translate(Z'_1, z_9) → P_{10}
Translate(V_1, z_9) → Q_{10}
Translate(W_1, z_9) → R_{10}
Translate(Z_1, z_9) → S_{10}
Polygon(J_{10}, K_{10}, W''_1, P_{10}, Q_{10}, R_{10}, S_{10}, L_{10}, M_{10}, N_{10}, R''_1, O_{10}, T''_1, U''_1, V''_1) → poly2''_1, j_{12}, v''_1, w''_1, p_{13}, q_{12}, r_{13}, s_{13}, k_{12}, l_{14}, m_{13}, n_{13}, r''_1, o_{13}, t''_1, u''_1
Translate(J'', z_9) → J'''_1
Translate(K'', z_9) → K'''_1
Translate(L'', z_9) → L'''_1
Translate(M'', z_9) → M'''_1
Translate(N'', z_9) → N'''_1
Translate(O'', z_9) → O'''_1
Translate(P'', z_9) → P'''_1
Translate(A_3, z_9) → T_{10}
Polygon(J'''_1, K'''_1, L'''_1, M'''_1, N'''_1, O'''_1, P'''_1, T_{10}) → poly1'''_1, j'''_1, k'''_1, l'''_1, m'''_1, n'''_1, o'''_1, p'''_1, t_{13}
Translate(E_8, z_9) → U_{10}
Translate(F_8, z_9) → V_{10}
Translate(G_8, z_9) → W_{10}
Translate(H_8, z_9) → Z_{10}
Translate(I_8, z_9) → A_{11}
Translate(J_8, z_9) → B_{11}
Translate(K_8, z_9) → C_{11}
Translate(L_8, z_9) → D_{11}
Polygon(U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}) → poly6', u_{12}, v_{12}, w_{12}, z_{12}, a_{13}, b_{14}, c_{13}, d_{13}
Translate(J_5, z_9) → E_{11}
Translate(K_5, z_9) → F_{11}
Translate(L_5, z_9) → G_{11}
Translate(M_5, z_9) → H_{11}
Translate(N_5, z_9) → I_{11}
Translate(O_5, z_9) → J_{11}
Translate(P_5, z_9) → K_{11}
Translate(Q_5, z_9) → L_{11}
Translate(R_5, z_9) → M_{11}
Translate(S_5, z_9) → N_{11}
Translate(T_5, z_9) → O_{11}
Translate(U_5, z_9) → P_{11}
Translate(V_5, z_9) → Q_{11}
Translate(W_5, z_9) → R_{11}
Translate(Z_5, z_9) → S_{11}
Translate(A_6, z_9) → T_{11}
Translate(B_6, z_9) → U_{11}
Translate(C_6, z_9) → V_{11}
Translate(D_6, z_9) → W_{11}
Translate(E_6, z_9) → Z_{11}
Translate(F_6, z_9) → A_{12}
Translate(G_6, z_9) → B_{12}
Translate(H_6, z_9) → C_{12}
Translate(F'', z_9) → F'''
Translate(I_6, z_9) → D_{12}
Translate(J_6, z_9) → E_{12}
Translate(K_6, z_9) → F_{12}
Translate(L_6, z_9) → G_{12}
Translate(M_6, z_9) → H_{12}
Translate(N_6, z_9) → I_{12}
Translate(O_6, z_9) → J_{12}
Translate(P_6, z_9) → K_{12}
Translate(Q_6, z_9) → L_{12}
Translate(R_6, z_9) → M_{12}
Translate(S_6, z_9) → N_{12}
Translate(T_6, z_9) → O_{12}
Translate(U_6, z_9) → P_{12}
Translate(V_6, z_9) → Q_{12}
Translate(W_6, z_9) → R_{12}
Polygon(E_{11}, F_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, G_{11}, A_{12}, B_{12}, C_{12}, F''', D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, H_{11}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}) → poly2'_1, e_{13}, n_{14}, o_{14}, p_{14}, q_{13}, r_{14}, s_{14}, t_{14}, u_{13}, v_{13}, w_{13}, f_{15}, z_{13}, a_{14}, b_{15}, c_{14}, f''', d_{14}, e_{14}, f_{16}, g_{16}, h_{14}, g_{15}, i_{14}, j_{14}, k_{14}, l_{16}, m_{15}, n_{15}, o_{15}, p_{15}, q_{14}, r_{15}, h_{13}, i_{13}, j_{13}, k_{13}, l_{15}, m_{14}
Translate(S_7, z_9) → S_{12}
Translate(T_7, z_9) → T_{12}
Translate(U_7, z_9) → U_{12}
Translate(V_7, z_9) → V_{12}
Translate(W_7, z_9) → W_{12}
Translate(R''', z_9) → Z_{12}
Translate(Z_7, z_9) → A_{13}
Translate(T''', z_9) → B_{13}
Translate(U''', z_9) → C_{13}
Translate(V''', z_9) → D_{13}
Translate(W''', z_9) → E_{13}
Translate(A_8, z_9) → F_{13}
Translate(B_8, z_9) → G_{13}
Translate(C_8, z_9) → H_{13}
Translate(D_8, z_9) → I_{13}
Polygon(S_{12}, T_{12}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, C_{13}, D_{13}) → poly7, s_{15}, d_{15}, e_{15}, f_{17}, g_{17}, h_{15}, i_{15}, t_{15}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{16}, c_{15}
Translate(Z_6, z_9) → J_{13}
Translate(A_7, z_9) → K_{13}
Translate(B_7, z_9) → L_{13}
Translate(C_7, z_9) → M_{13}
Translate(D_7, z_9) → N_{13}
Translate(E_7, z_9) → O_{13}
Translate(F_7, z_9) → P_{13}
Translate(G_7, z_9) → Q_{13}
Translate(H_7, z_9) → R_{13}
Translate(I_7, z_9) → S_{13}
Translate(J_7, z_9) → T_{13}
Translate(K_7, z_9) → U_{13}
Translate(L_7, z_9) → V_{13}
Translate(M_7, z_9) → W_{13}
Translate(N_7, z_9) → Z_{13}
Translate(O_7, z_9) → A_{14}
Translate(P_7, z_9) → B_{14}
Translate(Q_7, z_9) → C_{14}
Translate(R_7, z_9) → D_{14}
Polygon(J_{13}, K_{13}, T_{13}, U_{13}, V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}, L_{13}, M_{13}, N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}) → poly5''', j_{15}, s_{16}, t_{16}, u_{15}, v_{15}, w_{15}, z_{15}, a_{16}, b_{17}, c_{16}, d_{16}, k_{15}, l_{17}, m_{16}, n_{16}, o_{16}, p_{16}, q_{15}, r_{16}
Translate(G, w_9) → G'_3
Translate(E_1, w_9) → E_{14}
Translate(F_1, w_9) → F_{14}
Translate(G_1, w_9) → G_{14}
Translate(H_1, w_9) → H_{14}
Translate(I_1, w_9) → I_{14}
Translate(J_1, w_9) → J_{14}
Translate(K_1, w_9) → K_{14}
Translate(L_1, w_9) → L_{14}
Translate(M_1, w_9) → M_{14}
Translate(Z', w_9) → Z''_3
Translate(S', w_9) → S''_3
Translate(N_1, w_9) → N_{14}
Translate(O_1, w_9) → O_{14}
Translate(P_1, w_9) → P_{14}
Translate(Q_1, w_9) → Q_{14}
Translate(R_1, w_9) → R_{14}
Translate(S_1, w_9) → S_{14}
Translate(T_1, w_9) → T_{14}
Translate(D_1, w_9) → U_{14}
Translate(U_2, w_9) → V_{14}
Translate(T_2, w_9) → W_{14}
Translate(S_2, w_9) → Z_{14}
Translate(F, w_9) → F'_4
Translate(S, w_9) → S'_4
Translate(T, w_9) → T'_3
Translate(U, w_9) → U'_3
Translate(V, w_9) → V'_3
Translate(W, w_9) → W'_3
Translate(Z, w_9) → Z'_4
Translate(A_1, w_9) → A_{15}
Translate(B_1, w_9) → B_{15}
Translate(C_1, w_9) → C_{15}
Translate(L, w_9) → L'_4
Translate(M, w_9) → M'_3
Translate(N, w_9) → N'_3
Translate(O, w_9) → O'_3
Translate(P, w_9) → P'_3
Translate(Q, w_9) → Q'_5
Polygon(G'_3, E_{14}, Z''_3, S''_3, N_{14}, O_{14}, P_{14}, Q_{14}, R_{14}, S_{14}, T_{14}, U_{14}, F_{14}, V_{14}, W_{14}, Z_{14}, F'_4, S'_4, T'_3, U'_3, V'_3, W'_3, Z'_4, G_{14}, A_{15}, B_{15}, C_{15}, L'_4, M'_3, N'_3, O'_3, P'_3, Q'_5, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}) → poly3'_3, g'_3, m_{17}, z''_4, s''_4, n_{17}, o_{17}, p_{17}, q_{16}, r_{17}, s_{17}, t_{17}, e_{16}, u_{16}, v_{16}, w_{16}, z_{16}, f'_4, s'_5, t'_3, u'_3, v'_3, w'_3, f_{18}, z'_5, a_{17}, b_{18}, c_{17}, l'_4, m'_3, n'_3, o'_3, p'_3, q'_5, g_{18}, h_{16}, i_{16}, j_{16}, k_{16}, l_{18}
Translate(L'_2, w_9) → D_{15}
Translate(K'_2, w_9) → E_{15}
Translate(J'_2, w_9) → F_{15}
Translate(I'_2, w_9) → G_{15}
Translate(H'_2, w_9) → H_{15}
Translate(R', w_9) → R''_2
Translate(S'_1, w_9) → I_{15}
Translate(T', w_9) → T''_2
Translate(U', w_9) → U''_2
Translate(V', w_9) → V''_2
Translate(W', w_9) → W''_2
Translate(Z'_1, w_9) → J_{15}
Translate(V_1, w_9) → K_{15}
Translate(W_1, w_9) → L_{15}
Translate(Z_1, w_9) → M_{15}
Polygon(D_{15}, E_{15}, W''_2, J_{15}, K_{15}, L_{15}, M_{15}, F_{15}, G_{15}, H_{15}, R''_2, I_{15}, T''_2, U''_2, V''_2) → poly2''_2, d_{17}, v''_2, w''_2, j_{17}, k_{17}, l_{19}, m_{18}, e_{17}, f_{19}, g_{19}, h_{17}, r''_2, i_{17}, t''_2, u''_2
Translate(P_2, w_9) → N_{15}
Translate(R_2, w_9) → O_{15}
Translate(A_2, w_9) → P_{15}
Translate(B_2, w_9) → Q_{15}
Translate(C_2, w_9) → R_{15}
Translate(D_2, w_9) → S_{15}
Translate(E_2, w_9) → T_{15}
Translate(F_2, w_9) → U_{15}
Translate(G_2, w_9) → V_{15}
Translate(H_2, w_9) → W_{15}
Translate(I_2, w_9) → Z_{15}
Translate(Z'', w_9) → Z'''_2
Translate(S'', w_9) → S'''_2
Translate(J_2, w_9) → A_{16}
Translate(K_2, w_9) → B_{16}
Translate(L_2, w_9) → C_{16}
Translate(M_2, w_9) → D_{16}
Translate(N_2, w_9) → E_{16}
Translate(O_2, w_9) → F_{16}
Polygon(N_{15}, O_{15}, Z_{15}, Z'''_2, S'''_2, A_{16}, B_{16}, C_{16}, D_{16}, E_{16}, F_{16}, P_{15}, Q_{15}, R_{15}, S_{15}, T_{15}, U_{15}, V_{15}, W_{15}) → poly5'_2, n_{18}, w_{17}, z_{17}, z'''_2, s'''_2, a_{18}, b_{19}, c_{18}, d_{18}, e_{18}, f_{20}, o_{18}, p_{18}, q_{17}, r_{18}, s_{18}, t_{18}, u_{17}, v_{17}
Translate(J'', w_9) → J'''_2
Translate(K'', w_9) → K'''_2
Translate(L'', w_9) → L'''_2
Translate(M'', w_9) → M'''_2
Translate(N'', w_9) → N'''_2
Translate(O'', w_9) → O'''_2
Translate(P'', w_9) → P'''_2
Translate(A_3, w_9) → G_{16}
Polygon(J'''_2, K'''_2, L'''_2, M'''_2, N'''_2, O'''_2, P'''_2, G_{16}) → poly1'''_2, j'''_2, k'''_2, l'''_2, m'''_2, n'''_2, o'''_2, p'''_2, g_{20}
Translate(J_5, w_9) → H_{16}
Translate(K_5, w_9) → I_{16}
Translate(L_5, w_9) → J_{16}
Translate(M_5, w_9) → K_{16}
Translate(N_5, w_9) → L_{16}
Translate(O_5, w_9) → M_{16}
Translate(P_5, w_9) → N_{16}
Translate(Q_5, w_9) → O_{16}
Translate(R_5, w_9) → P_{16}
Translate(S_5, w_9) → Q_{16}
Translate(T_5, w_9) → R_{16}
Translate(U_5, w_9) → S_{16}
Translate(V_5, w_9) → T_{16}
Translate(W_5, w_9) → U_{16}
Translate(Z_5, w_9) → V_{16}
Translate(A_6, w_9) → W_{16}
Translate(B_6, w_9) → Z_{16}
Translate(C_6, w_9) → A_{17}
Translate(D_6, w_9) → B_{17}
Translate(E_6, w_9) → C_{17}
Translate(F_6, w_9) → D_{17}
Translate(G_6, w_9) → E_{17}
Translate(H_6, w_9) → F_{17}
Translate(F'', w_9) → F'''_1
Translate(I_6, w_9) → G_{17}
Translate(J_6, w_9) → H_{17}
Translate(K_6, w_9) → I_{17}
Translate(L_6, w_9) → J_{17}
Translate(M_6, w_9) → K_{17}
Translate(N_6, w_9) → L_{17}
Translate(O_6, w_9) → M_{17}
Translate(P_6, w_9) → N_{17}
Translate(Q_6, w_9) → O_{17}
Translate(R_6, w_9) → P_{17}
Translate(S_6, w_9) → Q_{17}
Translate(T_6, w_9) → R_{17}
Translate(U_6, w_9) → S_{17}
Translate(V_6, w_9) → T_{17}
Translate(W_6, w_9) → U_{17}
Polygon(H_{16}, I_{16}, R_{16}, S_{16}, T_{16}, U_{16}, V_{16}, W_{16}, Z_{16}, A_{17}, B_{17}, C_{17}, J_{16}, D_{17}, E_{17}, F_{17}, F'''_1, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, K_{16}, M_{17}, N_{17}, O_{17}, P_{17}, Q_{17}, R_{17}, S_{17}, T_{17}, U_{17}, L_{16}, M_{16}, N_{16}, O_{16}, P_{16}, Q_{16}) → poly2'_2, h_{18}, q_{18}, r_{19}, s_{19}, t_{19}, u_{18}, v_{18}, w_{18}, z_{18}, a_{19}, b_{20}, i_{18}, c_{19}, d_{19}, e_{19}, f_{21}, f'''_1, g_{21}, h_{19}, i_{19}, j_{19}, k_{19}, j_{18}, l_{21}, m_{20}, n_{20}, o_{20}, p_{20}, q_{19}, r_{20}, s_{20}, t_{20}, u_{19}, k_{18}, l_{20}, m_{19}, n_{19}, o_{19}, p_{19}
Translate(Z_6, w_9) → V_{17}
Translate(A_7, w_9) → W_{17}
Translate(B_7, w_9) → Z_{17}
Translate(C_7, w_9) → A_{18}
Translate(D_7, w_9) → B_{18}
Translate(E_7, w_9) → C_{18}
Translate(F_7, w_9) → D_{18}
Translate(G_7, w_9) → E_{18}
Translate(H_7, w_9) → F_{18}
Translate(I_7, w_9) → G_{18}
Translate(J_7, w_9) → H_{18}
Translate(K_7, w_9) → I_{18}
Translate(L_7, w_9) → J_{18}
Translate(M_7, w_9) → K_{18}
Translate(N_7, w_9) → L_{18}
Translate(O_7, w_9) → M_{18}
Translate(P_7, w_9) → N_{18}
Translate(Q_7, w_9) → O_{18}
Translate(R_7, w_9) → P_{18}
Polygon(V_{17}, W_{17}, H_{18}, I_{18}, J_{18}, K_{18}, L_{18}, M_{18}, N_{18}, O_{18}, P_{18}, Z_{17}, A_{18}, B_{18}, C_{18}, D_{18}, E_{18}, F_{18}, G_{18}) → poly5'''_1, v_{19}, g_{22}, h_{20}, i_{20}, j_{20}, k_{20}, l_{22}, m_{21}, n_{21}, o_{21}, p_{21}, w_{19}, z_{19}, a_{20}, b_{21}, c_{20}, d_{20}, e_{20}, f_{22}
Translate(S_7, w_9) → Q_{18}
Translate(T_7, w_9) → R_{18}
Translate(U_7, w_9) → S_{18}
Translate(V_7, w_9) → T_{18}
Translate(W_7, w_9) → U_{18}
Translate(R''', w_9) → V_{18}
Translate(Z_7, w_9) → W_{18}
Translate(T''', w_9) → Z_{18}
Translate(U''', w_9) → A_{19}
Translate(V''', w_9) → B_{19}
Translate(W''', w_9) → C_{19}
Translate(A_8, w_9) → D_{19}
Translate(B_8, w_9) → E_{19}
Translate(C_8, w_9) → F_{19}
Translate(D_8, w_9) → G_{19}
Polygon(Q_{18}, R_{18}, C_{19}, D_{19}, E_{19}, F_{19}, G_{19}, S_{18}, T_{18}, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}) → poly8, q_{20}, b_{22}, c_{21}, d_{21}, e_{21}, f_{23}, g_{23}, r_{21}, s_{21}, t_{21}, u_{20}, v_{20}, w_{20}, z_{20}, a_{21}
Translate(E_8, w_9) → H_{19}
Translate(F_8, w_9) → I_{19}
Translate(G_8, w_9) → J_{19}
Translate(H_8, w_9) → K_{19}
Translate(I_8, w_9) → L_{19}
Translate(J_8, w_9) → M_{19}
Translate(K_8, w_9) → N_{19}
Translate(L_8, w_9) → O_{19}
Polygon(H_{19}, I_{19}, J_{19}, K_{19}, L_{19}, M_{19}, N_{19}, O_{19}) → poly6'_1, h_{21}, i_{21}, j_{21}, k_{21}, l_{23}, m_{22}, n_{22}, o_{22}
Vector(M_8, F) → u_{21}
Line(O_8, u_{21}) → q_{21}
Min(z81, ((a - 7) * z81)) → z92
Intersect(t_{10}, q_{21}, 2) → P_{19}
Vector(O_8, P_{19}) → v_{21}
Translate(J_5, v_{21}) → Q_{19}
Translate(K_5, v_{21}) → R_{19}
Translate(L_5, v_{21}) → S_{19}
Translate(M_5, v_{21}) → T_{19}
Translate(N_5, v_{21}) → U_{19}
Translate(O_5, v_{21}) → V_{19}
Translate(P_5, v_{21}) → W_{19}
Translate(Q_5, v_{21}) → Z_{19}
Translate(R_5, v_{21}) → A_{20}
Translate(S_5, v_{21}) → B_{20}
Translate(T_5, v_{21}) → C_{20}
Translate(U_5, v_{21}) → D_{20}
Translate(V_5, v_{21}) → E_{20}
Translate(W_5, v_{21}) → F_{20}
Translate(Z_5, v_{21}) → G_{20}
Translate(A_6, v_{21}) → H_{20}
Translate(B_6, v_{21}) → I_{20}
Translate(C_6, v_{21}) → J_{20}
Translate(D_6, v_{21}) → K_{20}
Translate(E_6, v_{21}) → L_{20}
Translate(F_6, v_{21}) → M_{20}
Translate(G_6, v_{21}) → N_{20}
Translate(H_6, v_{21}) → O_{20}
Translate(F'', v_{21}) → F'''_2
Translate(I_6, v_{21}) → P_{20}
Translate(J_6, v_{21}) → Q_{20}
Translate(K_6, v_{21}) → R_{20}
Translate(L_6, v_{21}) → S_{20}
Translate(M_6, v_{21}) → T_{20}
Translate(N_6, v_{21}) → U_{20}
Translate(O_6, v_{21}) → V_{20}
Translate(P_6, v_{21}) → W_{20}
Translate(Q_6, v_{21}) → Z_{20}
Translate(R_6, v_{21}) → A_{21}
Translate(S_6, v_{21}) → B_{21}
Translate(T_6, v_{21}) → C_{21}
Translate(U_6, v_{21}) → D_{21}
Translate(V_6, v_{21}) → E_{21}
Translate(W_6, v_{21}) → F_{21}
Polygon(Q_{19}, R_{19}, C_{20}, D_{20}, E_{20}, F_{20}, G_{20}, H_{20}, I_{20}, J_{20}, K_{20}, L_{20}, S_{19}, M_{20}, N_{20}, O_{20}, F'''_2, P_{20}, Q_{20}, R_{20}, S_{20}, T_{20}, U_{20}, T_{19}, V_{20}, W_{20}, Z_{20}, A_{21}, B_{21}, C_{21}, D_{21}, E_{21}, F_{21}, U_{19}, V_{19}, W_{19}, Z_{19}, A_{20}, B_{20}) → poly2'_3, q_{22}, b_{23}, c_{22}, d_{22}, e_{22}, f_{24}, g_{24}, h_{22}, i_{22}, j_{22}, k_{22}, r_{22}, l_{24}, m_{23}, n_{23}, o_{23}, f'''_2, p_{22}, q_{23}, r_{23}, s_{23}, t_{23}, s_{22}, u_{23}, v_{23}, w_{22}, z_{22}, a_{23}, b_{24}, c_{23}, d_{23}, e_{23}, f_{25}, t_{22}, u_{22}, v_{22}, w_{21}, z_{21}, a_{22}
Translate(S_7, v_{21}) → G_{21}
Translate(T_7, v_{21}) → H_{21}
Translate(U_7, v_{21}) → I_{21}
Translate(V_7, v_{21}) → J_{21}
Translate(W_7, v_{21}) → K_{21}
Translate(R''', v_{21}) → L_{21}
Translate(Z_7, v_{21}) → M_{21}
Translate(T''', v_{21}) → N_{21}
Translate(U''', v_{21}) → O_{21}
Translate(V''', v_{21}) → P_{21}
Translate(W''', v_{21}) → Q_{21}
Translate(A_8, v_{21}) → R_{21}
Translate(B_8, v_{21}) → S_{21}
Translate(C_8, v_{21}) → T_{21}
Translate(D_8, v_{21}) → U_{21}
Polygon(G_{21}, H_{21}, Q_{21}, R_{21}, S_{21}, T_{21}, U_{21}, I_{21}, J_{21}, K_{21}, L_{21}, M_{21}, N_{21}, O_{21}, P_{21}) → poly9, g_{25}, p_{23}, q_{24}, r_{24}, s_{24}, t_{24}, u_{24}, h_{23}, i_{23}, j_{23}, k_{23}, l_{25}, m_{24}, n_{24}, o_{24}
Translate(E_8, v_{21}) → V_{21}
Translate(F_8, v_{21}) → W_{21}
Translate(G_8, v_{21}) → Z_{21}
Translate(H_8, v_{21}) → A_{22}
Translate(I_8, v_{21}) → B_{22}
Translate(J_8, v_{21}) → C_{22}
Translate(K_8, v_{21}) → D_{22}
Translate(L_8, v_{21}) → E_{22}
Polygon(V_{21}, W_{21}, Z_{21}, A_{22}, B_{22}, C_{22}, D_{22}, E_{22}) → poly6'_2, v_{24}, w_{23}, z_{23}, a_{24}, b_{25}, c_{24}, d_{24}, e_{24}
Translate(Z_6, v_{21}) → F_{22}
Translate(A_7, v_{21}) → G_{22}
Translate(B_7, v_{21}) → H_{22}
Translate(C_7, v_{21}) → I_{22}
Translate(D_7, v_{21}) → J_{22}
Translate(E_7, v_{21}) → K_{22}
Translate(F_7, v_{21}) → L_{22}
Translate(G_7, v_{21}) → M_{22}
Translate(H_7, v_{21}) → N_{22}
Translate(I_7, v_{21}) → O_{22}
Translate(J_7, v_{21}) → P_{22}
Translate(K_7, v_{21}) → Q_{22}
Translate(L_7, v_{21}) → R_{22}
Translate(M_7, v_{21}) → S_{22}
Translate(N_7, v_{21}) → T_{22}
Translate(O_7, v_{21}) → U_{22}
Translate(P_7, v_{21}) → W_{22}
Translate(Q_7, v_{21}) → Z_{22}
Translate(R_7, v_{21}) → A_{23}
Polygon(F_{22}, G_{22}, P_{22}, Q_{22}, R_{22}, S_{22}, T_{22}, U_{22}, W_{22}, Z_{22}, A_{23}, H_{22}, I_{22}, J_{22}, K_{22}, L_{22}, M_{22}, N_{22}, O_{22}) → poly5'''_2, f_{26}, o_{25}, p_{24}, q_{25}, r_{25}, s_{25}, t_{25}, u_{25}, w_{24}, z_{24}, a_{25}, g_{26}, h_{24}, i_{24}, j_{24}, k_{24}, l_{26}, m_{25}, n_{25}
Translate(G, v_{21}) → G'_4
Translate(E_1, v_{21}) → B_{23}
Translate(F_1, v_{21}) → C_{23}
Translate(G_1, v_{21}) → D_{23}
Translate(H_1, v_{21}) → E_{23}
Translate(I_1, v_{21}) → F_{23}
Translate(J_1, v_{21}) → G_{23}
Translate(K_1, v_{21}) → H_{23}
Translate(L_1, v_{21}) → I_{23}
Translate(M_1, v_{21}) → J_{23}
Translate(Z', v_{21}) → Z''_4
Translate(S', v_{21}) → S''_4
Translate(N_1, v_{21}) → K_{23}
Translate(O_1, v_{21}) → L_{23}
Translate(P_1, v_{21}) → M_{23}
Translate(Q_1, v_{21}) → N_{23}
Translate(R_1, v_{21}) → O_{23}
Translate(S_1, v_{21}) → P_{23}
Translate(T_1, v_{21}) → Q_{23}
Translate(D_1, v_{21}) → R_{23}
Translate(U_2, v_{21}) → S_{23}
Translate(T_2, v_{21}) → T_{23}
Translate(S_2, v_{21}) → U_{23}
Translate(F, v_{21}) → F'_5
Translate(S, v_{21}) → S'_5
Translate(T, v_{21}) → T'_4
Translate(U, v_{21}) → U'_4
Translate(V, v_{21}) → V'_4
Translate(W, v_{21}) → W'_4
Translate(Z, v_{21}) → Z'_5
Translate(A_1, v_{21}) → V_{23}
Translate(B_1, v_{21}) → W_{23}
Translate(C_1, v_{21}) → Z_{23}
Translate(L, v_{21}) → L'_5
Translate(M, v_{21}) → M'_4
Translate(N, v_{21}) → N'_4
Translate(O, v_{21}) → O'_4
Translate(P, v_{21}) → P'_4
Translate(Q, v_{21}) → Q'_6
Polygon(G'_4, B_{23}, Z''_4, S''_4, K_{23}, L_{23}, M_{23}, N_{23}, O_{23}, P_{23}, Q_{23}, R_{23}, C_{23}, S_{23}, T_{23}, U_{23}, F'_5, S'_5, T'_4, U'_4, V'_4, W'_4, Z'_5, D_{23}, V_{23}, W_{23}, Z_{23}, L'_5, M'_4, N'_4, O'_4, P'_4, Q'_6, E_{23}, F_{23}, G_{23}, H_{23}, I_{23}, J_{23}) → poly3'_4, g'_4, j_{25}, z''_5, s''_5, k_{25}, l_{27}, m_{26}, n_{26}, o_{26}, p_{25}, q_{26}, b_{26}, r_{26}, s_{26}, t_{26}, u_{26}, f'_5, s'_6, t'_4, u'_4, v'_4, w'_4, c_{25}, z'_6, v_{25}, w_{25}, z_{25}, l'_5, m'_4, n'_4, o'_4, p'_4, q'_6, d_{25}, e_{25}, f_{27}, g_{27}, h_{25}, i_{25}
Translate(L'_2, v_{21}) → A_{24}
Translate(K'_2, v_{21}) → B_{24}
Translate(J'_2, v_{21}) → C_{24}
Translate(I'_2, v_{21}) → D_{24}
Translate(H'_2, v_{21}) → E_{24}
Translate(R', v_{21}) → R''_3
Translate(S'_1, v_{21}) → F_{24}
Translate(T', v_{21}) → T''_3
Translate(U', v_{21}) → U''_3
Translate(V', v_{21}) → V''_3
Translate(W', v_{21}) → W''_3
Translate(Z'_1, v_{21}) → G_{24}
Translate(V_1, v_{21}) → H_{24}
Translate(W_1, v_{21}) → I_{24}
Translate(Z_1, v_{21}) → J_{24}
Polygon(A_{24}, B_{24}, W''_3, G_{24}, H_{24}, I_{24}, J_{24}, C_{24}, D_{24}, E_{24}, R''_3, F_{24}, T''_3, U''_3, V''_3) → poly2''_3, a_{26}, v''_3, w''_3, g_{28}, h_{26}, i_{26}, j_{26}, b_{27}, c_{26}, d_{26}, e_{26}, r''_3, f_{28}, t''_3, u''_3
Translate(J'', v_{21}) → J'''_3
Translate(K'', v_{21}) → K'''_3
Translate(L'', v_{21}) → L'''_3
Translate(M'', v_{21}) → M'''_3
Translate(N'', v_{21}) → N'''_3
Translate(O'', v_{21}) → O'''_3
Translate(P'', v_{21}) → P'''_3
Translate(A_3, v_{21}) → K_{24}
Polygon(J'''_3, K'''_3, L'''_3, M'''_3, N'''_3, O'''_3, P'''_3, K_{24}) → poly1'''_3, j'''_3, k'''_3, l'''_3, m'''_3, n'''_3, o'''_3, p'''_3, k_{26}
Translate(P_2, v_{21}) → L_{24}
Translate(R_2, v_{21}) → M_{24}
Translate(A_2, v_{21}) → N_{24}
Translate(B_2, v_{21}) → O_{24}
Translate(C_2, v_{21}) → P_{24}
Translate(D_2, v_{21}) → Q_{24}
Translate(E_2, v_{21}) → R_{24}
Translate(F_2, v_{21}) → S_{24}
Translate(G_2, v_{21}) → T_{24}
Translate(H_2, v_{21}) → U_{24}
Translate(I_2, v_{21}) → V_{24}
Translate(Z'', v_{21}) → Z'''_3
Translate(S'', v_{21}) → S'''_3
Translate(J_2, v_{21}) → W_{24}
Translate(K_2, v_{21}) → Z_{24}
Translate(L_2, v_{21}) → A_{25}
Translate(M_2, v_{21}) → B_{25}
Translate(N_2, v_{21}) → C_{25}
Translate(O_2, v_{21}) → D_{25}
Polygon(L_{24}, M_{24}, V_{24}, Z'''_3, S'''_3, W_{24}, Z_{24}, A_{25}, B_{25}, C_{25}, D_{25}, N_{24}, O_{24}, P_{24}, Q_{24}, R_{24}, S_{24}, T_{24}, U_{24}) → poly5'_3, l_{28}, u_{27}, v_{26}, z'''_3, s'''_3, w_{26}, z_{26}, a_{27}, b_{28}, c_{27}, d_{27}, m_{27}, n_{27}, o_{27}, p_{26}, q_{27}, r_{27}, s_{27}, t_{27}
Mirror(b, f) → b'
Mirror(f'_3, f) → e_{27}
Vector(F', F) → v_{27}

AI Drawing Prompt Reference

Draw an Escher-inspired unicorn with a series of repeated and symmetrical geometric elements, including polygons, lines, points, and vectors. Start by drawing a central polygon, then apply reflection, translation, and dilation rules to generate a series of symmetrical elements, finally combine these elements to form the unicorn's shape.

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