步骤7:多步几何构造与变换演示
几何画板及绘图内容加载中,请稍等……
①本范例演示了一个包含线段、垂线、交点、向量平移、多边形、圆与半圆等多元素组合的逐步几何构造过程,最终形成复杂的复合图形。②核心数学概念涉及欧几里得几何中的基本作图(垂线、交点)、向量平移与变换、多边形与圆的组合,以及半圆作为特殊圆弧的应用。③作图要点:从构造摘要可见,使用了Segment(线段)、OrthogonalLine(垂线)、Point(点)、Intersect(交点)、Vector(向量)、Translate(平移)、Polygon(多边形)、Circle(圆)、Semicircle(半圆)等GeoGebra命令,并创建了A、B、C、D、E、F、G、H、I、J等大量点对象及带撇号的平移后对象,体现了逐步构造与变换的层次性。④适合中学几何教学或几何作图进阶练习,用于理解基本作图工具的组合使用与变换思想,也可作为动态几何探究的示例。
GeoGebra 命令及参数
Segment(A, B) → fOrthogonalLine(A, f) → gOrthogonalLine(B, f) → hPoint(g) → COrthogonalLine(C, g) → iIntersect(h, i) → DSegment(A, B) → jSegment(A, C) → kSegment(C, D) → lSegment(B, D) → mSegment(A, E) → nSegment(F, E) → pSegment(F, G) → qSegment(H, G) → rSegment(H, B) → sVector(A, C) → uTranslate(A, u) → A'Translate(E, u) → E'Segment(A', E') → n'Translate(F, u) → F'Translate(E, u) → E'_1Segment(F', E'_1) → p'Translate(F, u) → F'_1Translate(G, u) → G'Segment(F'_1, G') → q'Translate(H, u) → H'Translate(G, u) → G'_1Segment(H', G'_1) → r'Translate(H, u) → H'_1Translate(B, u) → B'Segment(H'_1, B') → s'Segment(A, I) → tSegment(I, J) → aSegment(J, K) → bSegment(K, L) → cSegment(L, M) → dSegment(N, O) → eSegment(P, C) → f_1Vector(A, B) → vTranslate(A, v) → A'_1Translate(I, v) → I'Segment(A'_1, I') → t'Translate(I, v) → I'_1Translate(J, v) → J'Segment(I'_1, J') → a'Translate(J, v) → J'_1Translate(K, v) → K'Segment(J'_1, K') → b'Translate(K, v) → K'_1Translate(L, v) → L'Segment(K'_1, L') → c'Translate(L, v) → L'_1Translate(M, v) → M'Segment(L'_1, M') → d'Translate(N, v) → N'Translate(O, v) → O'Segment(N', O') → e'Translate(P, v) → P'Translate(C, v) → C'Segment(P', C') → g_1Segment(M, N) → h_1Segment(M, N) → i_1Segment(O, P) → j_1Segment(M, N) → k_1Segment(M', N') → l_1Segment(P', O') → m_1Polygon(F, E, P, C, E', F', G', H', D, P', O', N', A, M', L', K', J', I', B, H, G, I, J, K, L, M, N, O) → poly1, f_2, o, p_1, c_1, e'_1, f', g', h', d_1, p'_1, o', e_1, n'_1, m', l', k', j', i', b_1, h_2, g_2, a_1, i_2, j_2, k_2, l_2, m_2, n_1Circle(Q, S) → q_1Circle(R, T) → r_1Semicircle(U, V) → s_1Segment(V, U) → t_1Segment(V, U) → n_{2}Vector(A, B) → wTranslate(F, w) → F'_2Translate(E, w) → E'_2Translate(A, w) → A'_2Translate(I, w) → I'_2Translate(J, w) → J'_2Translate(K, w) → K'_2Translate(L, w) → L'_2Translate(M, w) → M'_1Translate(N, w) → N'_1Translate(O, w) → O'_1Translate(P, w) → P'_1Translate(C, w) → C'_1Translate(E', w) → E''Translate(F', w) → F''Translate(G', w) → G''Translate(H', w) → H''Translate(D, w) → D'Translate(P', w) → P''Translate(O', w) → O''Translate(N', w) → N''Translate(M', w) → M''Translate(L', w) → L''Translate(K', w) → K''Translate(J', w) → J''Translate(I', w) → I''Translate(B, w) → B'_1Translate(H, w) → H'_2Translate(G, w) → G'_2Polygon(F'_2, E'_2, P'_1, C'_1, E'', F'', G'', H'', D', P'', O'', N'', A'_2, M'', L'', K'', J'', I'', B'_1, H'_2, G'_2, I'_2, J'_2, K'_2, L'_2, M'_1, N'_1, O'_1) → poly1', f'_2, o'_1, p'_2, c'_1, e'', f'', g'', h'', d'_1, p'', o'', e'_2, n'', m'', l'', k'', j'', i'', b'_1, h'_2, g'_2, a'_2, i'_2, j'_2, k'_2, l'_2, m'_1, n'_2Translate(q_1, w) → c_2Translate(r_1, w) → d_2Translate(s_1, w) → e_2Translate(A, w) → A'_3Translate(E, w) → E'_3Segment(A'_3, E'_3) → n'_3Translate(F, w) → F'_3Translate(E, w) → E'_4Segment(F'_3, E'_4) → p'_3Translate(F, w) → F'_4Translate(G, w) → G'_3Segment(F'_4, G'_3) → q'_1Translate(H, w) → H'_3Translate(G, w) → G'_4Segment(H'_3, G'_4) → r'_1Translate(H, w) → H'_4Translate(B, w) → B'_2Segment(H'_4, B'_2) → s'_1Translate(A', w) → A''Translate(E', w) → E''_1Segment(A'', E''_1) → n''_1Translate(F', w) → F''_1Translate(E'_1, w) → WSegment(F''_1, W) → p''_1Translate(F'_1, w) → ZTranslate(G', w) → G''_1Segment(Z, G''_1) → q''Translate(H', w) → H''_1Translate(G'_1, w) → A_1Segment(H''_1, A_1) → r''Translate(H'_1, w) → B_1Translate(B', w) → B''Segment(B_1, B'') → s''Translate(A, w) → A'_4Translate(I, w) → I'_3Segment(A'_4, I'_3) → t'_1Translate(I, w) → I'_4Translate(J, w) → J'_3Segment(I'_4, J'_3) → a'_1Translate(J, w) → J'_4Translate(K, w) → K'_3Segment(J'_4, K'_3) → b'_2Translate(K, w) → K'_4Translate(L, w) → L'_3Segment(K'_4, L'_3) → c'_2Translate(L, w) → L'_4Translate(M, w) → M'_2Segment(L'_4, M'_2) → d'_2Translate(N, w) → N'_2Translate(O, w) → O'_2Segment(N'_2, O'_2) → e'_3Translate(P, w) → P'_2Translate(C, w) → C'_2Segment(P'_2, C'_2) → n_2Translate(A'_1, w) → C_1Translate(I', w) → I''_1Segment(C_1, I''_1) → t''Translate(I'_1, w) → D_1Translate(J', w) → J''_1Segment(D_1, J''_1) → a''Translate(J'_1, w) → E_1Translate(K', w) → K''_1Segment(E_1, K''_1) → b''Translate(K'_1, w) → F_1Translate(L', w) → L''_1Segment(F_1, L''_1) → c''Translate(L'_1, w) → G_1Translate(M', w) → M''_1Segment(G_1, M''_1) → d''Translate(N', w) → N''_1Translate(O', w) → O''_1Segment(N''_1, O''_1) → e''_1Translate(P', w) → P''_1Translate(C', w) → C''Segment(P''_1, C'') → p_2Translate(M, w) → M'_3Translate(N, w) → N'_3Segment(M'_3, N'_3) → q_2Translate(M, w) → M'_4Translate(N, w) → N'_4Segment(M'_4, N'_4) → r_2Translate(O, w) → O'_3Translate(P, w) → P'_3Segment(O'_3, P'_3) → s_2Translate(M, w) → M'_5Translate(N, w) → N'_5Segment(M'_5, N'_5) → t_2Translate(M', w) → M''_2Translate(N', w) → N''_2Segment(M''_2, N''_2) → a_2Translate(P', w) → P''_2Translate(O', w) → O''_2Segment(P''_2, O''_2) → b_2Translate(V, w) → V'Translate(U, w) → U'Segment(V', U') → f_3Translate(A, Vector[(0, -0.027146446191190776)]) → A'_5Vector(A, B'_1) → u_1Translate(F, u_1) → F'_5Translate(E, u_1) → E'_5Translate(A, u_1) → A'_6Translate(I, u_1) → I'_5Translate(J, u_1) → J'_5Translate(K, u_1) → K'_5Translate(L, u_1) → L'_5Translate(M, u_1) → M'_6Translate(N, u_1) → N'_6Translate(O, u_1) → O'_4Translate(P, u_1) → P'_4Translate(C, u_1) → C'_3Translate(E', u_1) → E''_2Translate(F', u_1) → F''_2Translate(G', u_1) → G''_2Translate(H', u_1) → H''_2Translate(D, u_1) → D'_1Translate(P', u_1) → P''_3Translate(O', u_1) → O''_3Translate(N', u_1) → N''_3Translate(M', u_1) → M''_3Translate(L', u_1) → L''_2Translate(K', u_1) → K''_2Translate(J', u_1) → J''_2Translate(I', u_1) → I''_2Translate(B, u_1) → B'_3Translate(H, u_1) → H'_5Translate(G, u_1) → G'_5Polygon(F'_5, E'_5, P'_4, C'_3, E''_2, F''_2, G''_2, H''_2, D'_1, P''_3, O''_3, N''_3, A'_6, M''_3, L''_2, K''_2, J''_2, I''_2, B'_3, H'_5, G'_5, I'_5, J'_5, K'_5, L'_5, M'_6, N'_6, O'_4) → poly1'_1, f'_5, o'_4, p'_4, c'_3, e''_2, f''_2, g''_2, h''_2, d'_3, p''_3, o''_3, e'_5, n''_3, m''_3, l''_2, k''_2, j''_2, i''_2, b'_3, h'_5, g'_5, a'_6, i'_5, j'_5, k'_5, l'_5, m'_6, n'_6Translate(F'_2, u_1) → H_1Translate(E'_2, u_1) → I_1Translate(A'_2, u_1) → J_1Translate(I'_2, u_1) → K_1Translate(J'_2, u_1) → L_1Translate(K'_2, u_1) → M_1Translate(L'_2, u_1) → N_1Translate(M'_1, u_1) → O_1Translate(N'_1, u_1) → P_1Translate(O'_1, u_1) → Q_1Translate(P'_1, u_1) → R_1Translate(C'_1, u_1) → S_1Translate(E'', u_1) → E'''Translate(F'', u_1) → F'''Translate(G'', u_1) → G'''Translate(H'', u_1) → H'''Translate(D', u_1) → D''Translate(P'', u_1) → P'''Translate(O'', u_1) → O'''Translate(N'', u_1) → N'''Translate(M'', u_1) → M'''Translate(L'', u_1) → L'''Translate(K'', u_1) → K'''Translate(J'', u_1) → J'''Translate(I'', u_1) → I'''Translate(B'_1, u_1) → T_1Translate(H'_2, u_1) → U_1Translate(G'_2, u_1) → V_1Polygon(H_1, I_1, R_1, S_1, E''', F''', G''', H''', D'', P''', O''', N''', J_1, M''', L''', K''', J''', I''', T_1, U_1, V_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1) → poly1'', h_3, q_3, r_3, s_3, e''', f''', g''', h''', d''_1, p''', o''', i_3, n''', m''', l''', k''', j''', i''', t_3, u_2, v_1, j_3, k_3, l_3, m_3, n_3, o_1, p_3Translate(q_1, u_1) → c_3Translate(r_1, u_1) → d_3Translate(s_1, u_1) → e_3Translate(c_2, u_1) → g_3Translate(d_2, u_1) → c_4Translate(e_2, u_1) → d_4Translate(A, u_1) → A'_7Translate(E, u_1) → E'_6Segment(A'_7, E'_6) → n'_4Translate(F, u_1) → F'_6Translate(E, u_1) → E'_7Segment(F'_6, E'_7) → p'_5Translate(F, u_1) → F'_7Translate(G, u_1) → G'_6Segment(F'_7, G'_6) → q'_2Translate(H, u_1) → H'_6Translate(G, u_1) → G'_7Segment(H'_6, G'_7) → r'_2Translate(H, u_1) → H'_7Translate(B, u_1) → B'_4Segment(H'_7, B'_4) → s'_2Translate(A', u_1) → A''_1Translate(E', u_1) → E''_3Segment(A''_1, E''_3) → n''_2Translate(F', u_1) → F''_3Translate(E'_1, u_1) → W_1Segment(F''_3, W_1) → p''_2Translate(F'_1, u_1) → Z_1Translate(G', u_1) → G''_3Segment(Z_1, G''_3) → q''_1Translate(H', u_1) → H''_3Translate(G'_1, u_1) → A_2Segment(H''_3, A_2) → r''_1Translate(H'_1, u_1) → B_2Translate(B', u_1) → B''_1Segment(B_2, B''_1) → s''_1Translate(A, u_1) → A'_8Translate(I, u_1) → I'_6Segment(A'_8, I'_6) → t'_2Translate(I, u_1) → I'_7Translate(J, u_1) → J'_6Segment(I'_7, J'_6) → a'_3Translate(J, u_1) → J'_7Translate(K, u_1) → K'_6Segment(J'_7, K'_6) → b'_4Translate(K, u_1) → K'_7Translate(L, u_1) → L'_6Segment(K'_7, L'_6) → c'_4Translate(L, u_1) → L'_7Translate(M, u_1) → M'_7Segment(L'_7, M'_7) → d'_4Translate(N, u_1) → N'_7Translate(O, u_1) → O'_5Segment(N'_7, O'_5) → e'_4Translate(P, u_1) → P'_5Translate(C, u_1) → C'_4Segment(P'_5, C'_4) → a_3Translate(A'_1, u_1) → C_2Translate(I', u_1) → I''_3Segment(C_2, I''_3) → t''_1Translate(I'_1, u_1) → D_2Translate(J', u_1) → J''_3Segment(D_2, J''_3) → a''_1Translate(J'_1, u_1) → E_2Translate(K', u_1) → K''_3Segment(E_2, K''_3) → b''_1Translate(K'_1, u_1) → F_2Translate(L', u_1) → L''_3Segment(F_2, L''_3) → c''_1Translate(L'_1, u_1) → G_2Translate(M', u_1) → M''_4Segment(G_2, M''_4) → d''_2Translate(N', u_1) → N''_4Translate(O', u_1) → O''_4Segment(N''_4, O''_4) → e''_3Translate(P', u_1) → P''_4Translate(C', u_1) → C''_1Segment(P''_4, C''_1) → b_3Translate(M, u_1) → M'_8Translate(N, u_1) → N'_8Segment(M'_8, N'_8) → f_4Translate(M, u_1) → M'_9Translate(N, u_1) → N'_9Segment(M'_9, N'_9) → g_4Translate(O, u_1) → O'_6Translate(P, u_1) → P'_6Segment(O'_6, P'_6) → h_4Translate(M, u_1) → M'_{10}Translate(N, u_1) → N'_{10}Segment(M'_{10}, N'_{10}) → i_4Translate(M', u_1) → M''_5Translate(N', u_1) → N''_5Segment(M''_5, N''_5) → j_4Translate(P', u_1) → P''_5Translate(O', u_1) → O''_5Segment(P''_5, O''_5) → k_4Translate(V, u_1) → V'_1Translate(U, u_1) → U'_1Segment(V'_1, U'_1) → l_4Translate(A'_3, u_1) → H_2Translate(E'_3, u_1) → I_2Segment(H_2, I_2) → m_4Translate(F'_3, u_1) → J_2Translate(E'_4, u_1) → K_2Segment(J_2, K_2) → n_4Translate(F'_4, u_1) → L_2Translate(G'_3, u_1) → M_2Segment(L_2, M_2) → p_4Translate(H'_3, u_1) → N_2Translate(G'_4, u_1) → O_2Segment(N_2, O_2) → q_4Translate(H'_4, u_1) → P_2Translate(B'_2, u_1) → Q_2Segment(P_2, Q_2) → r_4Translate(A'', u_1) → A'''Translate(E''_1, u_1) → R_2Segment(A''', R_2) → s_4Translate(F''_1, u_1) → S_2Translate(W, u_1) → W'Segment(S_2, W') → t_4Translate(Z, u_1) → Z'Translate(G''_1, u_1) → T_2Segment(Z', T_2) → q'''Translate(H''_1, u_1) → U_2Translate(A_1, u_1) → V_2Segment(U_2, V_2) → r'''Translate(B_1, u_1) → W_2Translate(B'', u_1) → B'''Segment(W_2, B''') → s'''Translate(A'_4, u_1) → Z_2Translate(I'_3, u_1) → A_3Segment(Z_2, A_3) → a_4Translate(I'_4, u_1) → B_3Translate(J'_3, u_1) → C_3Segment(B_3, C_3) → b_4Translate(J'_4, u_1) → D_3Translate(K'_3, u_1) → E_3Segment(D_3, E_3) → e_4Translate(K'_4, u_1) → F_3Translate(L'_3, u_1) → G_3Segment(F_3, G_3) → f_5Translate(L'_4, u_1) → H_3Translate(M'_2, u_1) → I_3Segment(H_3, I_3) → g_5Translate(N'_2, u_1) → J_3Translate(O'_2, u_1) → K_3Segment(J_3, K_3) → h_5Translate(P'_2, u_1) → L_3Translate(C'_2, u_1) → M_3Segment(L_3, M_3) → i_5Translate(C_1, u_1) → N_3Translate(I''_1, u_1) → O_3Segment(N_3, O_3) → t'''Translate(D_1, u_1) → P_3Translate(J''_1, u_1) → Q_3Segment(P_3, Q_3) → a'''Translate(E_1, u_1) → R_3Translate(K''_1, u_1) → S_3Segment(R_3, S_3) → b'''Translate(F_1, u_1) → T_3Translate(L''_1, u_1) → U_3Segment(T_3, U_3) → c'''Translate(G_1, u_1) → V_3Translate(M''_1, u_1) → W_3Segment(V_3, W_3) → d'''Translate(N''_1, u_1) → Z_3Translate(O''_1, u_1) → A_4Segment(Z_3, A_4) → j_5Translate(P''_1, u_1) → B_4Translate(C'', u_1) → C'''Segment(B_4, C''') → k_5Translate(M'_3, u_1) → C_4Translate(N'_3, u_1) → D_4Segment(C_4, D_4) → l_5Translate(M'_4, u_1) → E_4Translate(N'_4, u_1) → F_4Segment(E_4, F_4) → m_5Translate(O'_3, u_1) → G_4Translate(P'_3, u_1) → H_4Segment(G_4, H_4) → n_5Translate(M'_5, u_1) → I_4Translate(N'_5, u_1) → J_4Segment(I_4, J_4) → p_5Translate(M''_2, u_1) → K_4Translate(N''_2, u_1) → L_4Segment(K_4, L_4) → q_5Translate(P''_2, u_1) → M_4Translate(O''_2, u_1) → N_4Segment(M_4, N_4) → r_5Translate(V', u_1) → V''Translate(U', u_1) → U''Segment(V'', U'') → s_5Translate(w, u_1) → w'Translate(A'_5, u_1) → O_4Vector(A, T_1) → w_1Translate(F, w_1) → F'_8Translate(E, w_1) → E'_8Translate(A, w_1) → A'_9Translate(I, w_1) → I'_8Translate(J, w_1) → J'_8Translate(K, w_1) → K'_8Translate(L, w_1) → L'_8Translate(M, w_1) → M'_{11}Translate(N, w_1) → N'_{11}Translate(O, w_1) → O'_7Translate(P, w_1) → P'_7Translate(C, w_1) → C'_5Translate(E', w_1) → E''_4Translate(F', w_1) → F''_4Translate(G', w_1) → G''_4Translate(H', w_1) → H''_4Translate(D, w_1) → D'_2Translate(P', w_1) → P''_6Translate(O', w_1) → O''_6Translate(N', w_1) → N''_6Translate(M', w_1) → M''_6Translate(L', w_1) → L''_4Translate(K', w_1) → K''_4Translate(J', w_1) → J''_4Translate(I', w_1) → I''_4Translate(B, w_1) → B'_5Translate(H, w_1) → H'_8Translate(G, w_1) → G'_8Polygon(F'_8, E'_8, P'_7, C'_5, E''_4, F''_4, G''_4, H''_4, D'_2, P''_6, O''_6, N''_6, A'_9, M''_6, L''_4, K''_4, J''_4, I''_4, B'_5, H'_8, G'_8, I'_8, J'_8, K'_8, L'_8, M'_{11}, N'_{11}, O'_7) → poly1'_2, f'_8, o'_7, p'_7, c'_5, e''_4, f''_4, g''_4, h''_4, d'_5, p''_6, o''_6, e'_8, n''_6, m''_6, l''_4, k''_4, j''_4, i''_4, b'_5, h'_8, g'_8, a'_9, i'_8, j'_8, k'_8, l'_8, m'_{11}, n'_{11}Translate(F'_2, w_1) → P_4Translate(E'_2, w_1) → Q_4Translate(A'_2, w_1) → R_4Translate(I'_2, w_1) → S_4Translate(J'_2, w_1) → T_4Translate(K'_2, w_1) → U_4Translate(L'_2, w_1) → V_4Translate(M'_1, w_1) → W_4Translate(N'_1, w_1) → Z_4Translate(O'_1, w_1) → A_5Translate(P'_1, w_1) → B_5Translate(C'_1, w_1) → C_5Translate(E'', w_1) → E'''_1Translate(F'', w_1) → F'''_1Translate(G'', w_1) → G'''_1Translate(H'', w_1) → H'''_1Translate(D', w_1) → D''_1Translate(P'', w_1) → P'''_1Translate(O'', w_1) → O'''_1Translate(N'', w_1) → N'''_1Translate(M'', w_1) → M'''_1Translate(L'', w_1) → L'''_1Translate(K'', w_1) → K'''_1Translate(J'', w_1) → J'''_1Translate(I'', w_1) → I'''_1Translate(B'_1, w_1) → D_5Translate(H'_2, w_1) → E_5Translate(G'_2, w_1) → F_5Polygon(P_4, Q_4, B_5, C_5, E'''_1, F'''_1, G'''_1, H'''_1, D''_1, P'''_1, O'''_1, N'''_1, R_4, M'''_1, L'''_1, K'''_1, J'''_1, I'''_1, D_5, E_5, F_5, S_4, T_4, U_4, V_4, W_4, Z_4, A_5) → poly1''_1, p_6, a_5, b_5, c_5, e'''_1, f'''_1, g'''_1, h'''_1, d''_3, p'''_1, o'''_1, q_6, n'''_1, m'''_1, l'''_1, k'''_1, j'''_1, i'''_1, d_5, e_5, f_6, r_6, s_6, t_5, u_4, v_4, w_4, z_4Translate(F'_5, w_1) → G_5Translate(E'_5, w_1) → H_5Translate(A'_6, w_1) → I_5Translate(I'_5, w_1) → J_5Translate(J'_5, w_1) → K_5Translate(K'_5, w_1) → L_5Translate(L'_5, w_1) → M_5Translate(M'_6, w_1) → N_5Translate(N'_6, w_1) → O_5Translate(O'_4, w_1) → P_5Translate(P'_4, w_1) → Q_5Translate(C'_3, w_1) → R_5Translate(E''_2, w_1) → S_5Translate(F''_2, w_1) → T_5Translate(G''_2, w_1) → U_5Translate(H''_2, w_1) → V_5Translate(D'_1, w_1) → W_5Translate(P''_3, w_1) → Z_5Translate(O''_3, w_1) → A_6Translate(N''_3, w_1) → B_6Translate(M''_3, w_1) → C_6Translate(L''_2, w_1) → D_6Translate(K''_2, w_1) → E_6Translate(J''_2, w_1) → F_6Translate(I''_2, w_1) → G_6Translate(B'_3, w_1) → H_6Translate(H'_5, w_1) → I_6Translate(G'_5, w_1) → J_6Polygon(G_5, H_5, Q_5, R_5, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6, I_5, C_6, D_6, E_6, F_6, G_6, H_6, I_6, J_6, J_5, K_5, L_5, M_5, N_5, O_5, P_5) → poly2, g_6, p_7, q_7, r_7, s_7, t_6, u_5, v_5, w_5, z_5, a_6, h_6, b_6, c_6, d_6, e_6, f_7, g_7, h_7, i_7, j_7, i_6, j_6, k_6, l_6, m_6, n_6, o_5Translate(H_1, w_1) → K_6Translate(I_1, w_1) → L_6Translate(J_1, w_1) → M_6Translate(K_1, w_1) → N_6Translate(L_1, w_1) → O_6Translate(M_1, w_1) → P_6Translate(N_1, w_1) → Q_6Translate(O_1, w_1) → R_6Translate(P_1, w_1) → S_6Translate(Q_1, w_1) → T_6Translate(R_1, w_1) → U_6Translate(S_1, w_1) → V_6Translate(E''', w_1) → W_6Translate(F''', w_1) → Z_6Translate(G''', w_1) → A_7Translate(H''', w_1) → B_7Translate(D'', w_1) → D'''Translate(P''', w_1) → C_7Translate(O''', w_1) → D_7Translate(N''', w_1) → E_7Translate(M''', w_1) → F_7Translate(L''', w_1) → G_7Translate(K''', w_1) → H_7Translate(J''', w_1) → I_7Translate(I''', w_1) → J_7Translate(T_1, w_1) → K_7Translate(U_1, w_1) → L_7Translate(V_1, w_1) → M_7Polygon(K_6, L_6, U_6, V_6, W_6, Z_6, A_7, B_7, D''', C_7, D_7, E_7, M_6, F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, N_6, O_6, P_6, Q_6, R_6, S_6, T_6) → poly1''', k_7, t_7, u_6, v_6, w_6, z_6, a_7, b_7, d'''_1, c_7, d_7, l_7, e_7, f_8, g_8, h_8, i_8, j_8, k_8, l_8, m_8, m_7, n_7, o_6, p_8, q_8, r_8, s_8Translate(q_1, w_1) → c_8Translate(r_1, w_1) → d_8Translate(s_1, w_1) → e_8Translate(c_2, w_1) → t_8Translate(d_2, w_1) → c_9Translate(e_2, w_1) → d_9Translate(c_3, w_1) → e_9Translate(d_3, w_1) → f_9Translate(e_3, w_1) → g_9Translate(g_3, w_1) → h_9Translate(c_4, w_1) → k_9Translate(d_4, w_1) → p_9Translate(A, w_1) → A'_{10}Translate(E, w_1) → E'_9Segment(A'_{10}, E'_9) → n'_5Translate(F, w_1) → F'_9Translate(E, w_1) → E'_{10}Segment(F'_9, E'_{10}) → p'_6Translate(F, w_1) → F'_{10}Translate(G, w_1) → G'_9Segment(F'_{10}, G'_9) → q'_3Translate(H, w_1) → H'_9Translate(G, w_1) → G'_{10}Segment(H'_9, G'_{10}) → r'_3Translate(H, w_1) → H'_{10}Translate(B, w_1) → B'_6Segment(H'_{10}, B'_6) → s'_3Translate(A', w_1) → A''_2Translate(E', w_1) → E''_5Segment(A''_2, E''_5) → n''_4Translate(F', w_1) → F''_5Translate(E'_1, w_1) → N_7Segment(F''_5, N_7) → p''_4Translate(F'_1, w_1) → O_7Translate(G', w_1) → G''_5Segment(O_7, G''_5) → q''_2Translate(H', w_1) → H''_5Translate(G'_1, w_1) → P_7Segment(H''_5, P_7) → r''_2Translate(H'_1, w_1) → Q_7Translate(B', w_1) → B''_2Segment(Q_7, B''_2) → s''_2Translate(A, w_1) → A'_{11}Translate(I, w_1) → I'_9Segment(A'_{11}, I'_9) → t'_3Translate(I, w_1) → I'_{10}Translate(J, w_1) → J'_9Segment(I'_{10}, J'_9) → a'_4Translate(J, w_1) → J'_{10}Translate(K, w_1) → K'_9Segment(J'_{10}, K'_9) → b'_6Translate(K, w_1) → K'_{10}Translate(L, w_1) → L'_9Segment(K'_{10}, L'_9) → c'_6Translate(L, w_1) → L'_{10}Translate(M, w_1) → M'_{12}Segment(L'_{10}, M'_{12}) → d'_6Translate(N, w_1) → N'_{12}Translate(O, w_1) → O'_8Segment(N'_{12}, O'_8) → e'_6Translate(P, w_1) → P'_8Translate(C, w_1) → C'_6Segment(P'_8, C'_6) → n_8Translate(A'_1, w_1) → R_7Translate(I', w_1) → I''_5Segment(R_7, I''_5) → t''_2Translate(I'_1, w_1) → S_7Translate(J', w_1) → J''_5Segment(S_7, J''_5) → a''_2Translate(J'_1, w_1) → T_7Translate(K', w_1) → K''_5Segment(T_7, K''_5) → b''_2Translate(K'_1, w_1) → U_7Translate(L', w_1) → L''_5Segment(U_7, L''_5) → c''_2Translate(L'_1, w_1) → V_7Translate(M', w_1) → M''_7Segment(V_7, M''_7) → d''_4Translate(N', w_1) → N''_7Translate(O', w_1) → O''_7Segment(N''_7, O''_7) → e''_5Translate(P', w_1) → P''_7Translate(C', w_1) → C''_2Segment(P''_7, C''_2) → a_8Translate(M, w_1) → M'_{13}Translate(N, w_1) → N'_{13}Segment(M'_{13}, N'_{13}) → b_8Translate(M, w_1) → M'_{14}Translate(N, w_1) → N'_{14}Segment(M'_{14}, N'_{14}) → i_9Translate(O, w_1) → O'_9Translate(P, w_1) → P'_9Segment(O'_9, P'_9) → j_9Translate(M, w_1) → M'_{15}Translate(N, w_1) → N'_{15}Segment(M'_{15}, N'_{15}) → l_9Translate(M', w_1) → M''_8Translate(N', w_1) → N''_8Segment(M''_8, N''_8) → m_9Translate(P', w_1) → P''_8Translate(O', w_1) → O''_8Segment(P''_8, O''_8) → n_9Translate(V, w_1) → V'_2Translate(U, w_1) → U'_2Segment(V'_2, U'_2) → q_9Translate(A'_3, w_1) → W_7Translate(E'_3, w_1) → Z_7Segment(W_7, Z_7) → r_9Translate(F'_3, w_1) → A_8Translate(E'_4, w_1) → B_8Segment(A_8, B_8) → s_9Translate(F'_4, w_1) → C_8Translate(G'_3, w_1) → D_8Segment(C_8, D_8) → t_9Translate(H'_3, w_1) → E_8Translate(G'_4, w_1) → F_8Segment(E_8, F_8) → a_9Translate(H'_4, w_1) → G_8Translate(B'_2, w_1) → H_8Segment(G_8, H_8) → b_9Translate(A'', w_1) → A'''_1Translate(E''_1, w_1) → I_8Segment(A'''_1, I_8) → f_{10}Translate(F''_1, w_1) → J_8Translate(W, w_1) → W'_1Segment(J_8, W'_1) → g_{10}Translate(Z, w_1) → Z'_1Translate(G''_1, w_1) → K_8Segment(Z'_1, K_8) → q'''_1Translate(H''_1, w_1) → L_8Translate(A_1, w_1) → M_8Segment(L_8, M_8) → r'''_1Translate(B_1, w_1) → N_8Translate(B'', w_1) → B'''_1Segment(N_8, B'''_1) → s'''_1Translate(A'_4, w_1) → O_8Translate(I'_3, w_1) → P_8Segment(O_8, P_8) → h_{10}Translate(I'_4, w_1) → Q_8Translate(J'_3, w_1) → R_8Segment(Q_8, R_8) → i_{10}Translate(J'_4, w_1) → S_8Translate(K'_3, w_1) → T_8Segment(S_8, T_8) → j_{10}Translate(K'_4, w_1) → U_8Translate(L'_3, w_1) → V_8Segment(U_8, V_8) → k_{10}Translate(L'_4, w_1) → W_8Translate(M'_2, w_1) → Z_8Segment(W_8, Z_8) → l_{10}Translate(N'_2, w_1) → A_9Translate(O'_2, w_1) → B_9Segment(A_9, B_9) → m_{10}Translate(P'_2, w_1) → C_9Translate(C'_2, w_1) → D_9Segment(C_9, D_9) → n_{10}Translate(C_1, w_1) → E_9Translate(I''_1, w_1) → F_9Segment(E_9, F_9) → t'''_1Translate(D_1, w_1) → G_9Translate(J''_1, w_1) → H_9Segment(G_9, H_9) → a'''_1Translate(E_1, w_1) → I_9Translate(K''_1, w_1) → J_9Segment(I_9, J_9) → b'''_1Translate(F_1, w_1) → K_9Translate(L''_1, w_1) → L_9Segment(K_9, L_9) → c'''_1Translate(G_1, w_1) → M_9Translate(M''_1, w_1) → N_9Segment(M_9, N_9) → d'''_2Translate(N''_1, w_1) → O_9Translate(O''_1, w_1) → P_9Segment(O_9, P_9) → p_{10}Translate(P''_1, w_1) → Q_9Translate(C'', w_1) → C'''_1Segment(Q_9, C'''_1) → q_{10}Translate(M'_3, w_1) → R_9Translate(N'_3, w_1) → S_9Segment(R_9, S_9) → r_{10}Translate(M'_4, w_1) → T_9Translate(N'_4, w_1) → U_9Segment(T_9, U_9) → s_{10}Translate(O'_3, w_1) → V_9Translate(P'_3, w_1) → W_9Segment(V_9, W_9) → t_{10}Translate(M'_5, w_1) → Z_9Translate(N'_5, w_1) → A_{10}Segment(Z_9, A_{10}) → a_{10}Translate(M''_2, w_1) → B_{10}Translate(N''_2, w_1) → C_{10}Segment(B_{10}, C_{10}) → b_{10}Translate(P''_2, w_1) → D_{10}Translate(O''_2, w_1) → E_{10}Segment(D_{10}, E_{10}) → c_{10}Translate(V', w_1) → V''_1Translate(U', w_1) → U''_1Segment(V''_1, U''_1) → d_{10}Translate(A'_7, w_1) → F_{10}Translate(E'_6, w_1) → G_{10}Segment(F_{10}, G_{10}) → e_{10}Translate(F'_6, w_1) → H_{10}Translate(E'_7, w_1) → I_{10}Segment(H_{10}, I_{10}) → f_{11}Translate(F'_7, w_1) → J_{10}Translate(G'_6, w_1) → K_{10}Segment(J_{10}, K_{10}) → g_{11}Translate(H'_6, w_1) → L_{10}Translate(G'_7, w_1) → M_{10}Segment(L_{10}, M_{10}) → h_{11}Translate(H'_7, w_1) → N_{10}Translate(B'_4, w_1) → O_{10}Segment(N_{10}, O_{10}) → i_{11}Translate(A''_1, w_1) → P_{10}Translate(E''_3, w_1) → Q_{10}Segment(P_{10}, Q_{10}) → j_{11}Translate(F''_3, w_1) → R_{10}Translate(W_1, w_1) → S_{10}Segment(R_{10}, S_{10}) → k_{11}Translate(Z_1, w_1) → T_{10}Translate(G''_3, w_1) → U_{10}Segment(T_{10}, U_{10}) → l_{11}Translate(H''_3, w_1) → V_{10}Translate(A_2, w_1) → W_{10}Segment(V_{10}, W_{10}) → m_{11}Translate(B_2, w_1) → Z_{10}Translate(B''_1, w_1) → A_{11}Segment(Z_{10}, A_{11}) → n_{11}Translate(A'_8, w_1) → B_{11}Translate(I'_6, w_1) → C_{11}Segment(B_{11}, C_{11}) → p_{11}Translate(I'_7, w_1) → D_{11}Translate(J'_6, w_1) → E_{11}Segment(D_{11}, E_{11}) → q_{11}Translate(J'_7, w_1) → F_{11}Translate(K'_6, w_1) → G_{11}Segment(F_{11}, G_{11}) → r_{11}Translate(K'_7, w_1) → H_{11}Translate(L'_6, w_1) → I_{11}Segment(H_{11}, I_{11}) → s_{11}Translate(L'_7, w_1) → J_{11}Translate(M'_7, w_1) → K_{11}Segment(J_{11}, K_{11}) → t_{11}Translate(N'_7, w_1) → L_{11}Translate(O'_5, w_1) → M_{11}Segment(L_{11}, M_{11}) → a_{11}Translate(P'_5, w_1) → N_{11}Translate(C'_4, w_1) → O_{11}Segment(N_{11}, O_{11}) → b_{11}Translate(C_2, w_1) → P_{11}Translate(I''_3, w_1) → Q_{11}Segment(P_{11}, Q_{11}) → c_{11}Translate(D_2, w_1) → R_{11}Translate(J''_3, w_1) → S_{11}Segment(R_{11}, S_{11}) → d_{11}Translate(E_2, w_1) → T_{11}Translate(K''_3, w_1) → U_{11}Segment(T_{11}, U_{11}) → e_{11}Translate(F_2, w_1) → V_{11}Translate(L''_3, w_1) → W_{11}Segment(V_{11}, W_{11}) → f_{12}Translate(G_2, w_1) → Z_{11}Translate(M''_4, w_1) → A_{12}Segment(Z_{11}, A_{12}) → g_{12}Translate(N''_4, w_1) → B_{12}Translate(O''_4, w_1) → C_{12}Segment(B_{12}, C_{12}) → h_{12}Translate(P''_4, w_1) → D_{12}Translate(C''_1, w_1) → E_{12}Segment(D_{12}, E_{12}) → i_{12}Translate(M'_8, w_1) → F_{12}Translate(N'_8, w_1) → G_{12}Segment(F_{12}, G_{12}) → j_{12}Translate(M'_9, w_1) → H_{12}Translate(N'_9, w_1) → I_{12}Segment(H_{12}, I_{12}) → k_{12}Translate(O'_6, w_1) → J_{12}Translate(P'_6, w_1) → K_{12}Segment(J_{12}, K_{12}) → l_{12}Translate(M'_{10}, w_1) → L_{12}Translate(N'_{10}, w_1) → M_{12}Segment(L_{12}, M_{12}) → m_{12}Translate(M''_5, w_1) → N_{12}Translate(N''_5, w_1) → O_{12}Segment(N_{12}, O_{12}) → n_{12}Translate(P''_5, w_1) → P_{12}Translate(O''_5, w_1) → Q_{12}Segment(P_{12}, Q_{12}) → p_{12}Translate(V'_1, w_1) → R_{12}Translate(U'_1, w_1) → S_{12}Segment(R_{12}, S_{12}) → q_{12}Translate(H_2, w_1) → T_{12}Translate(I_2, w_1) → U_{12}Segment(T_{12}, U_{12}) → r_{12}Translate(J_2, w_1) → V_{12}Translate(K_2, w_1) → W_{12}Segment(V_{12}, W_{12}) → s_{12}Translate(L_2, w_1) → Z_{12}Translate(M_2, w_1) → A_{13}Segment(Z_{12}, A_{13}) → t_{12}Translate(N_2, w_1) → B_{13}Translate(O_2, w_1) → C_{13}Segment(B_{13}, C_{13}) → a_{12}Translate(P_2, w_1) → D_{13}Translate(Q_2, w_1) → E_{13}Segment(D_{13}, E_{13}) → b_{12}Translate(A''', w_1) → F_{13}Translate(R_2, w_1) → G_{13}Segment(F_{13}, G_{13}) → c_{12}Translate(S_2, w_1) → H_{13}Translate(W', w_1) → W''Segment(H_{13}, W'') → d_{12}Translate(Z', w_1) → Z''Translate(T_2, w_1) → I_{13}Segment(Z'', I_{13}) → e_{12}Translate(U_2, w_1) → J_{13}Translate(V_2, w_1) → K_{13}Segment(J_{13}, K_{13}) → f_{13}Translate(W_2, w_1) → L_{13}Translate(B''', w_1) → M_{13}Segment(L_{13}, M_{13}) → g_{13}Translate(Z_2, w_1) → N_{13}Translate(A_3, w_1) → O_{13}Segment(N_{13}, O_{13}) → h_{13}Translate(B_3, w_1) → P_{13}Translate(C_3, w_1) → Q_{13}Segment(P_{13}, Q_{13}) → i_{13}Translate(D_3, w_1) → R_{13}Translate(E_3, w_1) → S_{13}Segment(R_{13}, S_{13}) → j_{13}Translate(F_3, w_1) → T_{13}Translate(G_3, w_1) → U_{13}Segment(T_{13}, U_{13}) → k_{13}Translate(H_3, w_1) → V_{13}Translate(I_3, w_1) → W_{13}Segment(V_{13}, W_{13}) → l_{13}Translate(J_3, w_1) → Z_{13}Translate(K_3, w_1) → A_{14}Segment(Z_{13}, A_{14}) → m_{13}Translate(L_3, w_1) → B_{14}Translate(M_3, w_1) → C_{14}Segment(B_{14}, C_{14}) → n_{13}Translate(N_3, w_1) → D_{14}Translate(O_3, w_1) → E_{14}Segment(D_{14}, E_{14}) → p_{13}Translate(P_3, w_1) → F_{14}Translate(Q_3, w_1) → G_{14}Segment(F_{14}, G_{14}) → q_{13}Translate(R_3, w_1) → H_{14}Translate(S_3, w_1) → I_{14}Segment(H_{14}, I_{14}) → r_{13}Translate(T_3, w_1) → J_{14}Translate(U_3, w_1) → K_{14}Segment(J_{14}, K_{14}) → s_{13}Translate(V_3, w_1) → L_{14}Translate(W_3, w_1) → M_{14}Segment(L_{14}, M_{14}) → t_{13}Translate(Z_3, w_1) → N_{14}Translate(A_4, w_1) → O_{14}Segment(N_{14}, O_{14}) → a_{13}Translate(B_4, w_1) → P_{14}Translate(C''', w_1) → Q_{14}Segment(P_{14}, Q_{14}) → b_{13}Translate(C_4, w_1) → R_{14}Translate(D_4, w_1) → S_{14}Segment(R_{14}, S_{14}) → c_{13}Translate(E_4, w_1) → T_{14}Translate(F_4, w_1) → U_{14}Segment(T_{14}, U_{14}) → d_{13}Translate(G_4, w_1) → V_{14}Translate(H_4, w_1) → W_{14}Segment(V_{14}, W_{14}) → e_{13}Translate(I_4, w_1) → Z_{14}Translate(J_4, w_1) → A_{15}Segment(Z_{14}, A_{15}) → f_{14}Translate(K_4, w_1) → B_{15}Translate(L_4, w_1) → C_{15}Segment(B_{15}, C_{15}) → g_{14}Translate(M_4, w_1) → D_{15}Translate(N_4, w_1) → E_{15}Segment(D_{15}, E_{15}) → h_{14}Translate(V'', w_1) → V'''Translate(U'', w_1) → U'''Segment(V''', U''') → i_{14}Translate(w, w_1) → w'_1Translate(u_1, w_1) → v_2Translate(w', w_1) → w''Translate(A'_5, w_1) → F_{15}Translate(O_4, w_1) → G_{15}