Dynamic Demonstration of Polygon with Sliders
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Phebe Tanner Tessellation Rotation
This example demonstrates the dynamic changes of a polygon with sliders. Key mathematical concepts include polygons, vectors, and trigonometric functions. Using commands like Polygon, Segment, and Rotate, users can observe the dynamic changes of the polygon. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Polygon(A, B, 3) → poly1, a, b, c, CSegment(B, D) → dSegment(D, E) → eSegment(E, F) → fSegment(F, G) → gSegment(G, H) → hSegment(H, I) → iSegment(I, J) → jSegment(J, K) → kSegment(K, L) → lSegment(L, M) → mSegment(M, N) → nSegment(N, O) → pSegment(O, P) → qSegment(P, Q) → rSegment(Q, R) → sSegment(R, S) → tSegment(S, T) → a_1Segment(T, U) → b_1Segment(U, V) → c_1Segment(V, W) → d_1Segment(W, Z) → e_1Segment(Z, A_1) → f_1Segment(A_1, B_1) → g_1Segment(B_1, C) → h_1Rotate(B, 60*°, B) → B'Rotate(D, 60*°, B) → D'Segment(B', D') → d'Rotate(D, 60*°, B) → D'_1Rotate(E, 60*°, B) → E'Segment(D'_1, E') → e'Rotate(E, 60*°, B) → E'_1Rotate(F, 60*°, B) → F'Segment(E'_1, F') → f'Rotate(F, 60*°, B) → F'_1Rotate(G, 60*°, B) → G'Segment(F'_1, G') → g'Rotate(G, 60*°, B) → G'_1Rotate(H, 60*°, B) → H'Segment(G'_1, H') → h'Rotate(H, 60*°, B) → H'_1Rotate(I, 60*°, B) → I'Segment(H'_1, I') → i'Rotate(I, 60*°, B) → I'_1Rotate(J, 60*°, B) → J'Segment(I'_1, J') → j'Rotate(J, 60*°, B) → J'_1Rotate(K, 60*°, B) → K'Segment(J'_1, K') → k'Rotate(K, 60*°, B) → K'_1Rotate(L, 60*°, B) → L'Segment(K'_1, L') → l'Rotate(L, 60*°, B) → L'_1Rotate(M, 60*°, B) → M'Segment(L'_1, M') → m'Rotate(M, 60*°, B) → M'_1Rotate(N, 60*°, B) → N'Segment(M'_1, N') → n'Rotate(N, 60*°, B) → N'_1Rotate(O, 60*°, B) → O'Segment(N'_1, O') → p'Rotate(O, 60*°, B) → O'_1Rotate(P, 60*°, B) → P'Segment(O'_1, P') → q'Rotate(P, 60*°, B) → P'_1Rotate(Q, 60*°, B) → Q'Segment(P'_1, Q') → r'Rotate(Q, 60*°, B) → Q'_1Rotate(R, 60*°, B) → R'Segment(Q'_1, R') → s'Rotate(R, 60*°, B) → R'_1Rotate(S, 60*°, B) → S'Segment(R'_1, S') → t'Rotate(S, 60*°, B) → S'_1Rotate(T, 60*°, B) → T'Segment(S'_1, T') → i_1Rotate(T, 60*°, B) → T'_1Rotate(U, 60*°, B) → U'Segment(T'_1, U') → j_1Rotate(U, 60*°, B) → U'_1Rotate(V, 60*°, B) → V'Segment(U'_1, V') → k_1Rotate(V, 60*°, B) → V'_1Rotate(W, 60*°, B) → W'Segment(V'_1, W') → l_1Rotate(W, 60*°, B) → W'_1Rotate(Z, 60*°, B) → Z'Segment(W'_1, Z') → m_1Rotate(Z, 60*°, B) → Z'_1Rotate(A_1, 60*°, B) → C_1Segment(Z'_1, C_1) → n_1Rotate(A_1, 60*°, B) → D_1Rotate(B_1, 60*°, B) → E_1Segment(D_1, E_1) → p_1Rotate(B_1, 60*°, B) → F_1Rotate(C, 60*°, B) → C'Segment(F_1, C') → q_1Rotate(B', 60*°, A) → B''Rotate(D', 60*°, A) → D''Segment(B'', D'') → d''Rotate(D'_1, 60*°, A) → G_1Rotate(E', 60*°, A) → E''Segment(G_1, E'') → e''Rotate(E'_1, 60*°, A) → H_1Rotate(F', 60*°, A) → F''Segment(H_1, F'') → f''Rotate(F'_1, 60*°, A) → I_1Rotate(G', 60*°, A) → G''Segment(I_1, G'') → g''Rotate(G'_1, 60*°, A) → J_1Rotate(H', 60*°, A) → H''Segment(J_1, H'') → h''Rotate(H'_1, 60*°, A) → K_1Rotate(I', 60*°, A) → I''Segment(K_1, I'') → i''Rotate(I'_1, 60*°, A) → L_1Rotate(J', 60*°, A) → J''Segment(L_1, J'') → j''Rotate(J'_1, 60*°, A) → M_1Rotate(K', 60*°, A) → K''Segment(M_1, K'') → k''Rotate(K'_1, 60*°, A) → N_1Rotate(L', 60*°, A) → L''Segment(N_1, L'') → l''Rotate(L'_1, 60*°, A) → O_1Rotate(M', 60*°, A) → M''Segment(O_1, M'') → m''Rotate(M'_1, 60*°, A) → P_1Rotate(N', 60*°, A) → N''Segment(P_1, N'') → n''Rotate(N'_1, 60*°, A) → Q_1Rotate(O', 60*°, A) → O''Segment(Q_1, O'') → p''Rotate(O'_1, 60*°, A) → R_1Rotate(P', 60*°, A) → P''Segment(R_1, P'') → q''Rotate(P'_1, 60*°, A) → S_1Rotate(Q', 60*°, A) → Q''Segment(S_1, Q'') → r''Rotate(Q'_1, 60*°, A) → T_1Rotate(R', 60*°, A) → R''Segment(T_1, R'') → s''Rotate(R'_1, 60*°, A) → U_1Rotate(S', 60*°, A) → S''Segment(U_1, S'') → t''Rotate(S'_1, 60*°, A) → V_1Rotate(T', 60*°, A) → T''Segment(V_1, T'') → r_1Rotate(T'_1, 60*°, A) → W_1Rotate(U', 60*°, A) → U''Segment(W_1, U'') → s_1Rotate(U'_1, 60*°, A) → Z_1Rotate(V', 60*°, A) → V''Segment(Z_1, V'') → t_1Rotate(V'_1, 60*°, A) → A_2Rotate(W', 60*°, A) → W''Segment(A_2, W'') → a_2Rotate(W'_1, 60*°, A) → B_2Rotate(Z', 60*°, A) → Z''Segment(B_2, Z'') → b_2Rotate(Z'_1, 60*°, A) → C_2Rotate(C_1, 60*°, A) → D_2Segment(C_2, D_2) → c_2Rotate(D_1, 60*°, A) → E_2Rotate(E_1, 60*°, A) → F_2Segment(E_2, F_2) → d_2Rotate(F_1, 60*°, A) → G_2Rotate(C', 60*°, A) → C''Segment(G_2, C'') → e_2Rotate(B, 60*°, A) → B'_1Polygon(B, D', M', M'_1, O', P', Q', R', S', T', U', V', E', W', Z', C_1, E_1, A, F_2, D_2, Z'', W'', V'', F', U'', T'', S'', R'', Q'', P'', O'', N'', M'', L'', G', K'', J'', I'', H'', G'', E'', H_1, D'', C, B_1, H', A_1, Z, W, V, U, T, S, R, Q, P, I', O, N, M, L, K, J, I, H, G, F, J', E, D, K', L') → poly2, b_3, l'_1, m'_1, m'_2, o', p'_1, q'_1, r'_1, s'_1, t'_1, u', d'_1, v', w', z', c_3, e_3, a_3, f_2, d_3, z'', w'', e'_1, v'', u'', t''_1, s''_1, r''_1, q''_1, p''_1, o'', n''_1, m''_1, f'_1, l''_1, k''_1, j''_1, i''_1, h''_1, g''_1, e''_1, h_2, d''_1, c_4, g'_1, b_4, a_4, z, w, v, u, t_2, s_2, r_2, q_2, h'_1, p_2, o, n_2, m_2, l_2, k_2, j_2, i_2, h_3, g_2, i'_1, f_3, e_4, d_4, j'_1, k'_1Rotate(B, 60*°, A) → B'_2Rotate(D', 60*°, A) → D''_1Rotate(E', 60*°, A) → E''_1Rotate(F', 60*°, A) → F''_1Rotate(G', 60*°, A) → G''_1Rotate(H', 60*°, A) → H''_1Rotate(I', 60*°, A) → I''_1Rotate(J', 60*°, A) → J''_1Rotate(K', 60*°, A) → K''_1Rotate(L', 60*°, A) → L''_1Rotate(M', 60*°, A) → M''_1Rotate(M'_1, 60*°, A) → H_2Rotate(O', 60*°, A) → O''_1Rotate(P', 60*°, A) → P''_1Rotate(Q', 60*°, A) → Q''_1Rotate(R', 60*°, A) → R''_1Rotate(S', 60*°, A) → S''_1Rotate(T', 60*°, A) → T''_1Rotate(U', 60*°, A) → U''_1Rotate(V', 60*°, A) → V''_1Rotate(W', 60*°, A) → W''_1Rotate(Z', 60*°, A) → Z''_1Rotate(C_1, 60*°, A) → I_2Rotate(E_1, 60*°, A) → J_2Rotate(A, 60*°, A) → A'Rotate(F_2, 60*°, A) → K_2Rotate(D_2, 60*°, A) → L_2Rotate(Z'', 60*°, A) → Z'''Rotate(W'', 60*°, A) → W'''Rotate(V'', 60*°, A) → V'''Rotate(U'', 60*°, A) → U'''Rotate(T'', 60*°, A) → T'''Rotate(S'', 60*°, A) → S'''Rotate(R'', 60*°, A) → R'''Rotate(Q'', 60*°, A) → Q'''Rotate(P'', 60*°, A) → P'''Rotate(O'', 60*°, A) → O'''Rotate(N'', 60*°, A) → N'''Rotate(M'', 60*°, A) → M'''Rotate(L'', 60*°, A) → L'''Rotate(K'', 60*°, A) → K'''Rotate(J'', 60*°, A) → J'''Rotate(I'', 60*°, A) → I'''Rotate(H'', 60*°, A) → H'''Rotate(G'', 60*°, A) → G'''Rotate(E'', 60*°, A) → E'''Rotate(H_1, 60*°, A) → M_2Rotate(D'', 60*°, A) → D'''Rotate(C, 60*°, A) → C'_1Rotate(B_1, 60*°, A) → N_2Rotate(A_1, 60*°, A) → O_2Rotate(Z, 60*°, A) → Z'_2Rotate(W, 60*°, A) → W'_2Rotate(V, 60*°, A) → V'_2Rotate(U, 60*°, A) → U'_2Rotate(T, 60*°, A) → T'_2Rotate(S, 60*°, A) → S'_2Rotate(R, 60*°, A) → R'_2Rotate(Q, 60*°, A) → Q'_2Rotate(P, 60*°, A) → P'_2Rotate(O, 60*°, A) → O'_2Rotate(N, 60*°, A) → N'_2Rotate(M, 60*°, A) → M'_2Rotate(L, 60*°, A) → L'_2Rotate(K, 60*°, A) → K'_2Rotate(J, 60*°, A) → J'_2Rotate(I, 60*°, A) → I'_2Rotate(H, 60*°, A) → H'_2Rotate(G, 60*°, A) → G'_2Rotate(F, 60*°, A) → F'_2Rotate(E, 60*°, A) → E'_2Rotate(D, 60*°, A) → D'_2Polygon(B'_2, D''_1, M''_1, H_2, O''_1, P''_1, Q''_1, R''_1, S''_1, T''_1, U''_1, V''_1, E''_1, W''_1, Z''_1, I_2, J_2, A', K_2, L_2, Z''', W''', V''', F''_1, U''', T''', S''', R''', Q''', P''', O''', N''', M''', L''', G''_1, K''', J''', I''', H''', G''', E''', M_2, D''', C'_1, N_2, H''_1, O_2, Z'_2, W'_2, V'_2, U'_2, T'_2, S'_2, R'_2, Q'_2, P'_2, I''_1, O'_2, N'_2, M'_2, L'_2, K'_2, J'_2, I'_2, H'_2, G'_2, F'_2, J''_1, E'_2, D'_2, K''_1, L''_1) → poly2', b'_2, l''_2, m''_2, h_4, o''_1, p''_2, q''_2, r''_2, s''_2, t''_2, u''_1, d''_2, v''_1, w''_1, z''_1, i_3, j_3, a', k_3, l_3, z''', w''', e''_2, v''', u''', t''', s''', r''', q''', p''', o''', n''', m''', f''_1, l''', k''', j''', i''', h''', g''', e''', m_3, d''', c'_1, g''_2, n_3, o_2, z'_2, w'_2, v'_2, u'_2, t'_2, s'_2, r'_2, q'_2, h''_2, p'_2, o'_2, n'_2, m'_3, l'_2, k'_2, j'_2, i'_2, h'_2, g'_2, i''_2, f'_2, e'_2, d'_2, j''_2, k''_2Rotate(B, 60*°, A) → B'_3Rotate(D, 60*°, A) → D'_3Segment(B'_3, D'_3) → d'_3Rotate(D, 60*°, A) → D'_4Rotate(E, 60*°, A) → E'_3Segment(D'_4, E'_3) → e'_3Rotate(E, 60*°, A) → E'_4Rotate(F, 60*°, A) → F'_3Segment(E'_4, F'_3) → f'_3Rotate(F, 60*°, A) → F'_4Rotate(G, 60*°, A) → G'_3Segment(F'_4, G'_3) → g'_3Rotate(G, 60*°, A) → G'_4Rotate(H, 60*°, A) → H'_3Segment(G'_4, H'_3) → h'_3Rotate(H, 60*°, A) → H'_4Rotate(I, 60*°, A) → I'_3Segment(H'_4, I'_3) → i'_3Rotate(I, 60*°, A) → I'_4Rotate(J, 60*°, A) → J'_3Segment(I'_4, J'_3) → j'_3Rotate(J, 60*°, A) → J'_4Rotate(K, 60*°, A) → K'_3Segment(J'_4, K'_3) → k'_3Rotate(K, 60*°, A) → K'_4Rotate(L, 60*°, A) → L'_3Segment(K'_4, L'_3) → l'_3Rotate(L, 60*°, A) → L'_4Rotate(M, 60*°, A) → M'_3Segment(L'_4, M'_3) → m'_4Rotate(M, 60*°, A) → M'_4Rotate(N, 60*°, A) → N'_3Segment(M'_4, N'_3) → n'_1Rotate(N, 60*°, A) → N'_4Rotate(O, 60*°, A) → O'_3Segment(N'_4, O'_3) → p'_3Rotate(O, 60*°, A) → O'_4Rotate(P, 60*°, A) → P'_3Segment(O'_4, P'_3) → q'_3Rotate(P, 60*°, A) → P'_4Rotate(Q, 60*°, A) → Q'_3Segment(P'_4, Q'_3) → r'_3Rotate(Q, 60*°, A) → Q'_4Rotate(R, 60*°, A) → R'_3Segment(Q'_4, R'_3) → s'_3Rotate(R, 60*°, A) → R'_4Rotate(S, 60*°, A) → S'_3Segment(R'_4, S'_3) → t'_3Rotate(S, 60*°, A) → S'_4Rotate(T, 60*°, A) → T'_3Segment(S'_4, T'_3) → g_3Rotate(T, 60*°, A) → T'_4Rotate(U, 60*°, A) → U'_3Segment(T'_4, U'_3) → p_3Rotate(U, 60*°, A) → U'_4Rotate(V, 60*°, A) → V'_3Segment(U'_4, V'_3) → q_3Rotate(V, 60*°, A) → V'_4Rotate(W, 60*°, A) → W'_3Segment(V'_4, W'_3) → r_3Rotate(W, 60*°, A) → W'_4Rotate(Z, 60*°, A) → Z'_3Segment(W'_4, Z'_3) → s_3Rotate(Z, 60*°, A) → Z'_4Rotate(A_1, 60*°, A) → P_2Segment(Z'_4, P_2) → t_3Rotate(A_1, 60*°, A) → Q_2Rotate(B_1, 60*°, A) → R_2Segment(Q_2, R_2) → f_4Rotate(B_1, 60*°, A) → S_2Rotate(C, 60*°, A) → C'_2Segment(S_2, C'_2) → g_4Rotate(B', 60*°, A) → B''_1Rotate(D', 60*°, A) → D''_2Segment(B''_1, D''_2) → d''_3Rotate(D'_1, 60*°, A) → T_2Rotate(E', 60*°, A) → E''_2Segment(T_2, E''_2) → e''_3Rotate(E'_1, 60*°, A) → U_2Rotate(F', 60*°, A) → F''_2Segment(U_2, F''_2) → f''_2Rotate(F'_1, 60*°, A) → V_2Rotate(G', 60*°, A) → G''_2Segment(V_2, G''_2) → g''_3Rotate(G'_1, 60*°, A) → W_2Rotate(H', 60*°, A) → H''_2Segment(W_2, H''_2) → h''_3Rotate(H'_1, 60*°, A) → Z_2Rotate(I', 60*°, A) → I''_2Segment(Z_2, I''_2) → i''_3Rotate(I'_1, 60*°, A) → A_3Rotate(J', 60*°, A) → J''_2Segment(A_3, J''_2) → j''_3Rotate(J'_1, 60*°, A) → B_3Rotate(K', 60*°, A) → K''_2Segment(B_3, K''_2) → k''_3Rotate(K'_1, 60*°, A) → C_3Rotate(L', 60*°, A) → L''_2Segment(C_3, L''_2) → l''_3Rotate(L'_1, 60*°, A) → D_3Rotate(M', 60*°, A) → M''_2Segment(D_3, M''_2) → m''_3Rotate(M'_1, 60*°, A) → E_3Rotate(N', 60*°, A) → N''_1Segment(E_3, N''_1) → n''_2Rotate(N'_1, 60*°, A) → F_3Rotate(O', 60*°, A) → O''_2Segment(F_3, O''_2) → p''_3Rotate(O'_1, 60*°, A) → G_3Rotate(P', 60*°, A) → P''_2Segment(G_3, P''_2) → q''_3Rotate(P'_1, 60*°, A) → H_3Rotate(Q', 60*°, A) → Q''_2Segment(H_3, Q''_2) → r''_3Rotate(Q'_1, 60*°, A) → I_3Rotate(R', 60*°, A) → R''_2Segment(I_3, R''_2) → s''_3Rotate(R'_1, 60*°, A) → J_3Rotate(S', 60*°, A) → S''_2Segment(J_3, S''_2) → t''_3Rotate(S'_1, 60*°, A) → K_3Rotate(T', 60*°, A) → T''_2Segment(K_3, T''_2) → i_4Rotate(T'_1, 60*°, A) → L_3Rotate(U', 60*°, A) → U''_2Segment(L_3, U''_2) → j_4Rotate(U'_1, 60*°, A) → M_3Rotate(V', 60*°, A) → V''_2Segment(M_3, V''_2) → k_4Rotate(V'_1, 60*°, A) → N_3Rotate(W', 60*°, A) → W''_2Segment(N_3, W''_2) → l_4Rotate(W'_1, 60*°, A) → O_3Rotate(Z', 60*°, A) → Z''_2Segment(O_3, Z''_2) → m_4Rotate(Z'_1, 60*°, A) → P_3Rotate(C_1, 60*°, A) → Q_3Segment(P_3, Q_3) → n_4Rotate(D_1, 60*°, A) → R_3Rotate(E_1, 60*°, A) → S_3Segment(R_3, S_3) → p_4Rotate(F_1, 60*°, A) → T_3Rotate(C', 60*°, A) → C''_1Segment(T_3, C''_1) → q_4Rotate(B'', 60*°, A) → B'''Rotate(D'', 60*°, A) → D'''_1Segment(B''', D'''_1) → d'''_1Rotate(G_1, 60*°, A) → U_3Rotate(E'', 60*°, A) → E'''_1Segment(U_3, E'''_1) → e'''_1Rotate(H_1, 60*°, A) → V_3Rotate(F'', 60*°, A) → F'''Segment(V_3, F''') → f'''Rotate(I_1, 60*°, A) → W_3Rotate(G'', 60*°, A) → G'''_1Segment(W_3, G'''_1) → g'''_1Rotate(J_1, 60*°, A) → Z_3Rotate(H'', 60*°, A) → H'''_1Segment(Z_3, H'''_1) → h'''_1Rotate(K_1, 60*°, A) → A_4Rotate(I'', 60*°, A) → I'''_1Segment(A_4, I'''_1) → i'''_1Rotate(L_1, 60*°, A) → B_4Rotate(J'', 60*°, A) → J'''_1Segment(B_4, J'''_1) → j'''_1Rotate(M_1, 60*°, A) → C_4Rotate(K'', 60*°, A) → K'''_1Segment(C_4, K'''_1) → k'''_1Rotate(N_1, 60*°, A) → D_4Rotate(L'', 60*°, A) → L'''_1Segment(D_4, L'''_1) → l'''_1Rotate(O_1, 60*°, A) → E_4Rotate(M'', 60*°, A) → M'''_1Segment(E_4, M'''_1) → m'''_1Rotate(P_1, 60*°, A) → F_4Rotate(N'', 60*°, A) → N'''_1Segment(F_4, N'''_1) → n'''_1Rotate(Q_1, 60*°, A) → G_4Rotate(O'', 60*°, A) → O'''_1Segment(G_4, O'''_1) → p'''_1Rotate(R_1, 60*°, A) → H_4Rotate(P'', 60*°, A) → P'''_1Segment(H_4, P'''_1) → q'''_1Rotate(S_1, 60*°, A) → I_4Rotate(Q'', 60*°, A) → Q'''_1Segment(I_4, Q'''_1) → r'''_1Rotate(T_1, 60*°, A) → J_4Rotate(R'', 60*°, A) → R'''_1Segment(J_4, R'''_1) → s'''_1Rotate(U_1, 60*°, A) → K_4Rotate(S'', 60*°, A) → S'''_1Segment(K_4, S'''_1) → t'''_1Rotate(V_1, 60*°, A) → L_4Rotate(T'', 60*°, A) → T'''_1Segment(L_4, T'''_1) → r_4Rotate(W_1, 60*°, A) → M_4Rotate(U'', 60*°, A) → U'''_1Segment(M_4, U'''_1) → s_4Rotate(Z_1, 60*°, A) → N_4Rotate(V'', 60*°, A) → V'''_1Segment(N_4, V'''_1) → t_4Rotate(A_2, 60*°, A) → O_4Rotate(W'', 60*°, A) → W'''_1Segment(O_4, W'''_1) → a_5Rotate(B_2, 60*°, A) → P_4Rotate(Z'', 60*°, A) → Z'''_1Segment(P_4, Z'''_1) → b_5Rotate(C_2, 60*°, A) → Q_4Rotate(D_2, 60*°, A) → R_4Segment(Q_4, R_4) → c_5Rotate(E_2, 60*°, A) → S_4Rotate(F_2, 60*°, A) → T_4Segment(S_4, T_4) → d_5Rotate(G_2, 60*°, A) → U_4Rotate(C'', 60*°, A) → C'''Segment(U_4, C''') → e_5Rotate(B'_1, 60*°, A) → V_4Rotate(B, 120*°, A) → B'_4Rotate(D', 120*°, A) → D''_3Rotate(E', 120*°, A) → E''_3Rotate(F', 120*°, A) → F''_3Rotate(G', 120*°, A) → G''_3Rotate(H', 120*°, A) → H''_3Rotate(I', 120*°, A) → I''_3Rotate(J', 120*°, A) → J''_3Rotate(K', 120*°, A) → K''_3Rotate(L', 120*°, A) → L''_3Rotate(M', 120*°, A) → M''_3Rotate(M'_1, 120*°, A) → W_4Rotate(O', 120*°, A) → O''_3Rotate(P', 120*°, A) → P''_3Rotate(Q', 120*°, A) → Q''_3Rotate(R', 120*°, A) → R''_3Rotate(S', 120*°, A) → S''_3Rotate(T', 120*°, A) → T''_3Rotate(U', 120*°, A) → U''_3Rotate(V', 120*°, A) → V''_3Rotate(W', 120*°, A) → W''_3Rotate(Z', 120*°, A) → Z''_3Rotate(C_1, 120*°, A) → Z_4Rotate(E_1, 120*°, A) → A_5Rotate(A, 120*°, A) → A'_1Rotate(F_2, 120*°, A) → B_5Rotate(D_2, 120*°, A) → C_5Rotate(Z'', 120*°, A) → Z'''_2Rotate(W'', 120*°, A) → W'''_2Rotate(V'', 120*°, A) → V'''_2Rotate(U'', 120*°, A) → U'''_2Rotate(T'', 120*°, A) → T'''_2Rotate(S'', 120*°, A) → S'''_2Rotate(R'', 120*°, A) → R'''_2Rotate(Q'', 120*°, A) → Q'''_2Rotate(P'', 120*°, A) → P'''_2Rotate(O'', 120*°, A) → O'''_2Rotate(N'', 120*°, A) → N'''_2Rotate(M'', 120*°, A) → M'''_2Rotate(L'', 120*°, A) → L'''_2Rotate(K'', 120*°, A) → K'''_2Rotate(J'', 120*°, A) → J'''_2Rotate(I'', 120*°, A) → I'''_2Rotate(H'', 120*°, A) → H'''_2Rotate(G'', 120*°, A) → G'''_2Rotate(E'', 120*°, A) → E'''_2Rotate(H_1, 120*°, A) → D_5Rotate(D'', 120*°, A) → D'''_2Rotate(C, 120*°, A) → C'_3Rotate(B_1, 120*°, A) → E_5Rotate(A_1, 120*°, A) → F_5Rotate(Z, 120*°, A) → Z'_5Rotate(W, 120*°, A) → W'_5Rotate(V, 120*°, A) → V'_5Rotate(U, 120*°, A) → U'_5Rotate(T, 120*°, A) → T'_5Rotate(S, 120*°, A) → S'_5Rotate(R, 120*°, A) → R'_5Rotate(Q, 120*°, A) → Q'_5Rotate(P, 120*°, A) → P'_5Rotate(O, 120*°, A) → O'_5Rotate(N, 120*°, A) → N'_5Rotate(M, 120*°, A) → M'_5Rotate(L, 120*°, A) → L'_5Rotate(K, 120*°, A) → K'_5Rotate(J, 120*°, A) → J'_5Rotate(I, 120*°, A) → I'_5Rotate(H, 120*°, A) → H'_5Rotate(G, 120*°, A) → G'_5Rotate(F, 120*°, A) → F'_5Rotate(E, 120*°, A) → E'_5Rotate(D, 120*°, A) → D'_5Polygon(B'_4, D''_3, M''_3, W_4, O''_3, P''_3, Q''_3, R''_3, S''_3, T''_3, U''_3, V''_3, E''_3, W''_3, Z''_3, Z_4, A_5, A'_1, B_5, C_5, Z'''_2, W'''_2, V'''_2, F''_3, U'''_2, T'''_2, S'''_2, R'''_2, Q'''_2, P'''_2, O'''_2, N'''_2, M'''_2, L'''_2, G''_3, K'''_2, J'''_2, I'''_2, H'''_2, G'''_2, E'''_2, D_5, D'''_2, C'_3, E_5, H''_3, F_5, Z'_5, W'_5, V'_5, U'_5, T'_5, S'_5, R'_5, Q'_5, P'_5, I''_3, O'_5, N'_5, M'_5, L'_5, K'_5, J'_5, I'_5, H'_5, G'_5, F'_5, J''_3, E'_5, D'_5, K''_3, L''_3) → poly2'_1, b'_4, l''_4, m''_4, w_4, o''_3, p''_4, q''_4, r''_4, s''_4, t''_4, u''_3, d''_4, v''_3, w''_3, z''_3, z_4, a_6, a'_1, b_6, c_6, z'''_2, w'''_2, e''_4, v'''_2, u'''_2, t'''_2, s'''_2, r'''_2, q'''_2, p'''_2, o'''_2, n'''_2, m'''_2, f''_3, l'''_2, k'''_2, j'''_2, i'''_2, h'''_2, g'''_2, e'''_2, d_6, d'''_2, c'_3, g''_4, e_6, f_5, z'_5, w'_5, v'_5, u'_5, t'_5, s'_5, r'_5, q'_5, h''_4, p'_5, o'_5, n'_5, m'_5, l'_5, k'_5, j'_5, i'_5, h'_5, g'_5, i''_4, f'_5, e'_5, d'_5, j''_4, k''_4Rotate(B'_2, 120*°, A) → G_5Rotate(D''_1, 120*°, A) → H_5Rotate(E''_1, 120*°, A) → I_5Rotate(F''_1, 120*°, A) → J_5Rotate(G''_1, 120*°, A) → K_5Rotate(H''_1, 120*°, A) → L_5Rotate(I''_1, 120*°, A) → M_5Rotate(J''_1, 120*°, A) → N_5Rotate(K''_1, 120*°, A) → O_5Rotate(L''_1, 120*°, A) → P_5Rotate(M''_1, 120*°, A) → Q_5Rotate(H_2, 120*°, A) → R_5Rotate(O''_1, 120*°, A) → S_5Rotate(P''_1, 120*°, A) → T_5Rotate(Q''_1, 120*°, A) → U_5Rotate(R''_1, 120*°, A) → V_5Rotate(S''_1, 120*°, A) → W_5Rotate(T''_1, 120*°, A) → Z_5Rotate(U''_1, 120*°, A) → A_6Rotate(V''_1, 120*°, A) → B_6Rotate(W''_1, 120*°, A) → C_6Rotate(Z''_1, 120*°, A) → D_6Rotate(I_2, 120*°, A) → E_6Rotate(J_2, 120*°, A) → F_6Rotate(A', 120*°, A) → A''Rotate(K_2, 120*°, A) → G_6Rotate(L_2, 120*°, A) → H_6Rotate(Z''', 120*°, A) → I_6Rotate(W''', 120*°, A) → J_6Rotate(V''', 120*°, A) → K_6Rotate(U''', 120*°, A) → L_6Rotate(T''', 120*°, A) → M_6Rotate(S''', 120*°, A) → N_6Rotate(R''', 120*°, A) → O_6Rotate(Q''', 120*°, A) → P_6Rotate(P''', 120*°, A) → Q_6Rotate(O''', 120*°, A) → R_6Rotate(N''', 120*°, A) → S_6Rotate(M''', 120*°, A) → T_6Rotate(L''', 120*°, A) → U_6Rotate(K''', 120*°, A) → V_6Rotate(J''', 120*°, A) → W_6Rotate(I''', 120*°, A) → Z_6Rotate(H''', 120*°, A) → A_7Rotate(G''', 120*°, A) → B_7Rotate(E''', 120*°, A) → C_7Rotate(M_2, 120*°, A) → D_7Rotate(D''', 120*°, A) → E_7Rotate(C'_1, 120*°, A) → F_7Rotate(N_2, 120*°, A) → G_7Rotate(O_2, 120*°, A) → H_7Rotate(Z'_2, 120*°, A) → I_7Rotate(W'_2, 120*°, A) → J_7Rotate(V'_2, 120*°, A) → K_7Rotate(U'_2, 120*°, A) → L_7Rotate(T'_2, 120*°, A) → M_7Rotate(S'_2, 120*°, A) → N_7Rotate(R'_2, 120*°, A) → O_7Rotate(Q'_2, 120*°, A) → P_7Rotate(P'_2, 120*°, A) → Q_7Rotate(O'_2, 120*°, A) → R_7Rotate(N'_2, 120*°, A) → S_7Rotate(M'_2, 120*°, A) → T_7Rotate(L'_2, 120*°, A) → U_7Rotate(K'_2, 120*°, A) → V_7Rotate(J'_2, 120*°, A) → W_7Rotate(I'_2, 120*°, A) → Z_7Rotate(H'_2, 120*°, A) → A_8Rotate(G'_2, 120*°, A) → B_8Rotate(F'_2, 120*°, A) → C_8Rotate(E'_2, 120*°, A) → D_8Rotate(D'_2, 120*°, A) → E_8Polygon(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, A'', G_6, H_6, I_6, J_6, K_6, J_5, L_6, M_6, N_6, O_6, P_6, Q_6, R_6, S_6, T_6, U_6, K_5, V_6, W_6, Z_6, A_7, B_7, C_7, D_7, E_7, F_7, G_7, L_5, H_7, I_7, J_7, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, M_5, R_7, S_7, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, N_5, D_8, E_8, O_5, P_5) → poly2'', g_5, p_5, q_5, r_5, s_5, t_5, u_5, v_5, w_5, z_5, a_7, h_5, b_7, c_7, d_7, e_7, f_6, a'', g_6, h_6, i_6, j_6, i_5, k_6, l_6, m_6, n_6, o_6, p_6, q_6, r_6, s_6, t_6, j_5, u_6, v_6, w_6, z_6, a_8, b_8, c_8, d_8, e_8, f_7, k_5, g_7, h_7, i_7, j_7, k_7, l_7, m_7, n_7, o_7, p_7, l_5, q_7, r_7, s_7, t_7, u_7, v_7, w_7, z_7, a_9, b_9, m_5, c_9, d_9, e_9, n_5, o_5Rotate(B, 120*°, A) → B'_5Rotate(D, 120*°, A) → D'_6Segment(B'_5, D'_6) → d'_4Rotate(D, 120*°, A) → D'_7Rotate(E, 120*°, A) → E'_6Segment(D'_7, E'_6) → e'_4Rotate(E, 120*°, A) → E'_7Rotate(F, 120*°, A) → F'_6Segment(E'_7, F'_6) → f'_4Rotate(F, 120*°, A) → F'_7Rotate(G, 120*°, A) → G'_6Segment(F'_7, G'_6) → g'_4Rotate(G, 120*°, A) → G'_7Rotate(H, 120*°, A) → H'_6Segment(G'_7, H'_6) → h'_4Rotate(H, 120*°, A) → H'_7Rotate(I, 120*°, A) → I'_6Segment(H'_7, I'_6) → i'_4Rotate(I, 120*°, A) → I'_7Rotate(J, 120*°, A) → J'_6Segment(I'_7, J'_6) → j'_4Rotate(J, 120*°, A) → J'_7Rotate(K, 120*°, A) → K'_6Segment(J'_7, K'_6) → k'_4Rotate(K, 120*°, A) → K'_7Rotate(L, 120*°, A) → L'_6Segment(K'_7, L'_6) → l'_4Rotate(L, 120*°, A) → L'_7Rotate(M, 120*°, A) → M'_6Segment(L'_7, M'_6) → m'_6Rotate(M, 120*°, A) → M'_7Rotate(N, 120*°, A) → N'_6Segment(M'_7, N'_6) → n'_3Rotate(N, 120*°, A) → N'_7Rotate(O, 120*°, A) → O'_6Segment(N'_7, O'_6) → p'_4Rotate(O, 120*°, A) → O'_7Rotate(P, 120*°, A) → P'_6Segment(O'_7, P'_6) → q'_4Rotate(P, 120*°, A) → P'_7Rotate(Q, 120*°, A) → Q'_6Segment(P'_7, Q'_6) → r'_4Rotate(Q, 120*°, A) → Q'_7Rotate(R, 120*°, A) → R'_6Segment(Q'_7, R'_6) → s'_4Rotate(R, 120*°, A) → R'_7Rotate(S, 120*°, A) → S'_6Segment(R'_7, S'_6) → t'_4Rotate(S, 120*°, A) → S'_7Rotate(T, 120*°, A) → T'_6Segment(S'_7, T'_6) → f_8Rotate(T, 120*°, A) → T'_7Rotate(U, 120*°, A) → U'_6Segment(T'_7, U'_6) → g_8Rotate(U, 120*°, A) → U'_7Rotate(V, 120*°, A) → V'_6Segment(U'_7, V'_6) → h_8Rotate(V, 120*°, A) → V'_7Rotate(W, 120*°, A) → W'_6Segment(V'_7, W'_6) → i_8Rotate(W, 120*°, A) → W'_7Rotate(Z, 120*°, A) → Z'_6Segment(W'_7, Z'_6) → j_8Rotate(Z, 120*°, A) → Z'_7Rotate(A_1, 120*°, A) → F_8Segment(Z'_7, F_8) → k_8Rotate(A_1, 120*°, A) → G_8Rotate(B_1, 120*°, A) → H_8Segment(G_8, H_8) → l_8Rotate(B_1, 120*°, A) → I_8Rotate(C, 120*°, A) → C'_4Segment(I_8, C'_4) → m_8Rotate(B', 120*°, A) → B''_2Rotate(D', 120*°, A) → D''_4Segment(B''_2, D''_4) → d''_5Rotate(D'_1, 120*°, A) → J_8Rotate(E', 120*°, A) → E''_4Segment(J_8, E''_4) → e''_5Rotate(E'_1, 120*°, A) → K_8Rotate(F', 120*°, A) → F''_4Segment(K_8, F''_4) → f''_4Rotate(F'_1, 120*°, A) → L_8Rotate(G', 120*°, A) → G''_4Segment(L_8, G''_4) → g''_5Rotate(G'_1, 120*°, A) → M_8Rotate(H', 120*°, A) → H''_4Segment(M_8, H''_4) → h''_5Rotate(H'_1, 120*°, A) → N_8Rotate(I', 120*°, A) → I''_4Segment(N_8, I''_4) → i''_5Rotate(I'_1, 120*°, A) → O_8Rotate(J', 120*°, A) → J''_4Segment(O_8, J''_4) → j''_5Rotate(J'_1, 120*°, A) → P_8Rotate(K', 120*°, A) → K''_4Segment(P_8, K''_4) → k''_5Rotate(K'_1, 120*°, A) → Q_8Rotate(L', 120*°, A) → L''_4Segment(Q_8, L''_4) → l''_5Rotate(L'_1, 120*°, A) → R_8Rotate(M', 120*°, A) → M''_4Segment(R_8, M''_4) → m''_5Rotate(M'_1, 120*°, A) → S_8Rotate(N', 120*°, A) → N''_2Segment(S_8, N''_2) → n''_3Rotate(N'_1, 120*°, A) → T_8Rotate(O', 120*°, A) → O''_4Segment(T_8, O''_4) → p''_5Rotate(O'_1, 120*°, A) → U_8Rotate(P', 120*°, A) → P''_4Segment(U_8, P''_4) → q''_5Rotate(P'_1, 120*°, A) → V_8Rotate(Q', 120*°, A) → Q''_4Segment(V_8, Q''_4) → r''_5Rotate(Q'_1, 120*°, A) → W_8Rotate(R', 120*°, A) → R''_4Segment(W_8, R''_4) → s''_5Rotate(R'_1, 120*°, A) → Z_8Rotate(S', 120*°, A) → S''_4Segment(Z_8, S''_4) → t''_5Rotate(S'_1, 120*°, A) → A_9Rotate(T', 120*°, A) → T''_4Segment(A_9, T''_4) → n_8Rotate(T'_1, 120*°, A) → B_9Rotate(U', 120*°, A) → U''_4Segment(B_9, U''_4) → p_8Rotate(U'_1, 120*°, A) → C_9Rotate(V', 120*°, A) → V''_4Segment(C_9, V''_4) → q_8Rotate(V'_1, 120*°, A) → D_9Rotate(W', 120*°, A) → W''_4Segment(D_9, W''_4) → r_8Rotate(W'_1, 120*°, A) → E_9Rotate(Z', 120*°, A) → Z''_4Segment(E_9, Z''_4) → s_8Rotate(Z'_1, 120*°, A) → F_9Rotate(C_1, 120*°, A) → G_9Segment(F_9, G_9) → t_8Rotate(D_1, 120*°, A) → H_9Rotate(E_1, 120*°, A) → I_9Segment(H_9, I_9) → f_9Rotate(F_1, 120*°, A) → J_9Rotate(C', 120*°, A) → C''_2Segment(J_9, C''_2) → g_9Rotate(B'', 120*°, A) → B'''_1Rotate(D'', 120*°, A) → D'''_3Segment(B'''_1, D'''_3) → d'''_3Rotate(G_1, 120*°, A) → K_9Rotate(E'', 120*°, A) → E'''_3Segment(K_9, E'''_3) → e'''_3Rotate(H_1, 120*°, A) → L_9Rotate(F'', 120*°, A) → F'''_1Segment(L_9, F'''_1) → f'''_1Rotate(I_1, 120*°, A) → M_9Rotate(G'', 120*°, A) → G'''_3Segment(M_9, G'''_3) → g'''_3Rotate(J_1, 120*°, A) → N_9Rotate(H'', 120*°, A) → H'''_3Segment(N_9, H'''_3) → h'''_3Rotate(K_1, 120*°, A) → O_9Rotate(I'', 120*°, A) → I'''_3Segment(O_9, I'''_3) → i'''_3Rotate(L_1, 120*°, A) → P_9Rotate(J'', 120*°, A) → J'''_3Segment(P_9, J'''_3) → j'''_3Rotate(M_1, 120*°, A) → Q_9Rotate(K'', 120*°, A) → K'''_3Segment(Q_9, K'''_3) → k'''_3Rotate(N_1, 120*°, A) → R_9Rotate(L'', 120*°, A) → L'''_3Segment(R_9, L'''_3) → l'''_3Rotate(O_1, 120*°, A) → S_9Rotate(M'', 120*°, A) → M'''_3Segment(S_9, M'''_3) → m'''_3Rotate(P_1, 120*°, A) → T_9Rotate(N'', 120*°, A) → N'''_3Segment(T_9, N'''_3) → n'''_3Rotate(Q_1, 120*°, A) → U_9Rotate(O'', 120*°, A) → O'''_3Segment(U_9, O'''_3) → p'''_3Rotate(R_1, 120*°, A) → V_9Rotate(P'', 120*°, A) → P'''_3Segment(V_9, P'''_3) → q'''_3Rotate(S_1, 120*°, A) → W_9Rotate(Q'', 120*°, A) → Q'''_3Segment(W_9, Q'''_3) → r'''_3Rotate(T_1, 120*°, A) → Z_9Rotate(R'', 120*°, A) → R'''_3Segment(Z_9, R'''_3) → s'''_3Rotate(U_1, 120*°, A) → A_{10}Rotate(S'', 120*°, A) → S'''_3Segment(A_{10}, S'''_3) → t'''_3Rotate(V_1, 120*°, A) → B_{10}Rotate(T'', 120*°, A) → T'''_3Segment(B_{10}, T'''_3) → h_9Rotate(W_1, 120*°, A) → C_{10}Rotate(U'', 120*°, A) → U'''_3Segment(C_{10}, U'''_3) → i_9Rotate(Z_1, 120*°, A) → D_{10}Rotate(V'', 120*°, A) → V'''_3Segment(D_{10}, V'''_3) → j_9Rotate(A_2, 120*°, A) → E_{10}Rotate(W'', 120*°, A) → W'''_3Segment(E_{10}, W'''_3) → k_9Rotate(B_2, 120*°, A) → F_{10}Rotate(Z'', 120*°, A) → Z'''_3Segment(F_{10}, Z'''_3) → l_9Rotate(C_2, 120*°, A) → G_{10}Rotate(D_2, 120*°, A) → H_{10}Segment(G_{10}, H_{10}) → m_9Rotate(E_2, 120*°, A) → I_{10}Rotate(F_2, 120*°, A) → J_{10}Segment(I_{10}, J_{10}) → n_9Rotate(G_2, 120*°, A) → K_{10}Rotate(C'', 120*°, A) → C'''_1Segment(K_{10}, C'''_1) → p_9Rotate(B'_3, 120*°, A) → L_{10}Rotate(D'_3, 120*°, A) → M_{10}Segment(L_{10}, M_{10}) → q_9Rotate(D'_4, 120*°, A) → N_{10}Rotate(E'_3, 120*°, A) → O_{10}Segment(N_{10}, O_{10}) → r_9Rotate(E'_4, 120*°, A) → P_{10}Rotate(F'_3, 120*°, A) → Q_{10}Segment(P_{10}, Q_{10}) → s_9Rotate(F'_4, 120*°, A) → R_{10}Rotate(G'_3, 120*°, A) → S_{10}Segment(R_{10}, S_{10}) → t_9Rotate(G'_4, 120*°, A) → T_{10}Rotate(H'_3, 120*°, A) → U_{10}Segment(T_{10}, U_{10}) → a_{10}Rotate(H'_4, 120*°, A) → V_{10}Rotate(I'_3, 120*°, A) → W_{10}Segment(V_{10}, W_{10}) → b_{10}Rotate(I'_4, 120*°, A) → Z_{10}Rotate(J'_3, 120*°, A) → A_{11}Segment(Z_{10}, A_{11}) → c_{10}Rotate(J'_4, 120*°, A) → B_{11}Rotate(K'_3, 120*°, A) → C_{11}Segment(B_{11}, C_{11}) → d_{10}Rotate(K'_4, 120*°, A) → D_{11}Rotate(L'_3, 120*°, A) → E_{11}Segment(D_{11}, E_{11}) → e_{10}Rotate(L'_4, 120*°, A) → F_{11}Rotate(M'_3, 120*°, A) → G_{11}Segment(F_{11}, G_{11}) → f_{10}Rotate(M'_4, 120*°, A) → H_{11}Rotate(N'_3, 120*°, A) → I_{11}Segment(H_{11}, I_{11}) → g_{10}Rotate(N'_4, 120*°, A) → J_{11}Rotate(O'_3, 120*°, A) → K_{11}Segment(J_{11}, K_{11}) → h_{10}Rotate(O'_4, 120*°, A) → L_{11}Rotate(P'_3, 120*°, A) → M_{11}Segment(L_{11}, M_{11}) → i_{10}Rotate(P'_4, 120*°, A) → N_{11}Rotate(Q'_3, 120*°, A) → O_{11}Segment(N_{11}, O_{11}) → j_{10}Rotate(Q'_4, 120*°, A) → P_{11}Rotate(R'_3, 120*°, A) → Q_{11}Segment(P_{11}, Q_{11}) → k_{10}Rotate(R'_4, 120*°, A) → R_{11}Rotate(S'_3, 120*°, A) → S_{11}Segment(R_{11}, S_{11}) → l_{10}Rotate(S'_4, 120*°, A) → T_{11}Rotate(T'_3, 120*°, A) → U_{11}Segment(T_{11}, U_{11}) → m_{10}Rotate(T'_4, 120*°, A) → V_{11}Rotate(U'_3, 120*°, A) → W_{11}Segment(V_{11}, W_{11}) → n_{10}Rotate(U'_4, 120*°, A) → Z_{11}Rotate(V'_3, 120*°, A) → A_{12}Segment(Z_{11}, A_{12}) → p_{10}Rotate(V'_4, 120*°, A) → B_{12}Rotate(W'_3, 120*°, A) → C_{12}Segment(B_{12}, C_{12}) → q_{10}Rotate(W'_4, 120*°, A) → D_{12}Rotate(Z'_3, 120*°, A) → E_{12}Segment(D_{12}, E_{12}) → r_{10}Rotate(Z'_4, 120*°, A) → F_{12}Rotate(P_2, 120*°, A) → G_{12}Segment(F_{12}, G_{12}) → s_{10}Rotate(Q_2, 120*°, A) → H_{12}Rotate(R_2, 120*°, A) → I_{12}Segment(H_{12}, I_{12}) → t_{10}Rotate(S_2, 120*°, A) → J_{12}Rotate(C'_2, 120*°, A) → K_{12}Segment(J_{12}, K_{12}) → a_{11}Rotate(B''_1, 120*°, A) → L_{12}Rotate(D''_2, 120*°, A) → M_{12}Segment(L_{12}, M_{12}) → b_{11}Rotate(T_2, 120*°, A) → N_{12}Rotate(E''_2, 120*°, A) → O_{12}Segment(N_{12}, O_{12}) → c_{11}Rotate(U_2, 120*°, A) → P_{12}Rotate(F''_2, 120*°, A) → Q_{12}Segment(P_{12}, Q_{12}) → d_{11}Rotate(V_2, 120*°, A) → R_{12}Rotate(G''_2, 120*°, A) → S_{12}Segment(R_{12}, S_{12}) → e_{11}Rotate(W_2, 120*°, A) → T_{12}Rotate(H''_2, 120*°, A) → U_{12}Segment(T_{12}, U_{12}) → f_{11}Rotate(Z_2, 120*°, A) → V_{12}Rotate(I''_2, 120*°, A) → W_{12}Segment(V_{12}, W_{12}) → g_{11}Rotate(A_3, 120*°, A) → Z_{12}Rotate(J''_2, 120*°, A) → A_{13}Segment(Z_{12}, A_{13}) → h_{11}Rotate(B_3, 120*°, A) → B_{13}Rotate(K''_2, 120*°, A) → C_{13}Segment(B_{13}, C_{13}) → i_{11}Rotate(C_3, 120*°, A) → D_{13}Rotate(L''_2, 120*°, A) → E_{13}Segment(D_{13}, E_{13}) → j_{11}Rotate(D_3, 120*°, A) → F_{13}Rotate(M''_2, 120*°, A) → G_{13}Segment(F_{13}, G_{13}) → k_{11}Rotate(E_3, 120*°, A) → H_{13}Rotate(N''_1, 120*°, A) → I_{13}Segment(H_{13}, I_{13}) → l_{11}Rotate(F_3, 120*°, A) → J_{13}Rotate(O''_2, 120*°, A) → K_{13}Segment(J_{13}, K_{13}) → m_{11}Rotate(G_3, 120*°, A) → L_{13}Rotate(P''_2, 120*°, A) → M_{13}Segment(L_{13}, M_{13}) → n_{11}Rotate(H_3, 120*°, A) → N_{13}Rotate(Q''_2, 120*°, A) → O_{13}Segment(N_{13}, O_{13}) → p_{11}Rotate(I_3, 120*°, A) → P_{13}Rotate(R''_2, 120*°, A) → Q_{13}Segment(P_{13}, Q_{13}) → q_{11}Rotate(J_3, 120*°, A) → R_{13}Rotate(S''_2, 120*°, A) → S_{13}Segment(R_{13}, S_{13}) → r_{11}Rotate(K_3, 120*°, A) → T_{13}Rotate(T''_2, 120*°, A) → U_{13}Segment(T_{13}, U_{13}) → s_{11}Rotate(L_3, 120*°, A) → V_{13}Rotate(U''_2, 120*°, A) → W_{13}Segment(V_{13}, W_{13}) → t_{11}Rotate(M_3, 120*°, A) → Z_{13}Rotate(V''_2, 120*°, A) → A_{14}Segment(Z_{13}, A_{14}) → a_{12}Rotate(N_3, 120*°, A) → B_{14}Rotate(W''_2, 120*°, A) → C_{14}Segment(B_{14}, C_{14}) → b_{12}Rotate(O_3, 120*°, A) → D_{14}Rotate(Z''_2, 120*°, A) → E_{14}Segment(D_{14}, E_{14}) → c_{12}Rotate(P_3, 120*°, A) → F_{14}Rotate(Q_3, 120*°, A) → G_{14}Segment(F_{14}, G_{14}) → d_{12}Rotate(R_3, 120*°, A) → H_{14}Rotate(S_3, 120*°, A) → I_{14}Segment(H_{14}, I_{14}) → e_{12}Rotate(T_3, 120*°, A) → J_{14}Rotate(C''_1, 120*°, A) → K_{14}Segment(J_{14}, K_{14}) → f_{12}Rotate(B''', 120*°, A) → L_{14}Rotate(D'''_1, 120*°, A) → M_{14}Segment(L_{14}, M_{14}) → g_{12}Rotate(U_3, 120*°, A) → N_{14}Rotate(E'''_1, 120*°, A) → O_{14}Segment(N_{14}, O_{14}) → h_{12}Rotate(V_3, 120*°, A) → P_{14}Rotate(F''', 120*°, A) → Q_{14}Segment(P_{14}, Q_{14}) → i_{12}Rotate(W_3, 120*°, A) → R_{14}Rotate(G'''_1, 120*°, A) → S_{14}Segment(R_{14}, S_{14}) → j_{12}Rotate(Z_3, 120*°, A) → T_{14}Rotate(H'''_1, 120*°, A) → U_{14}Segment(T_{14}, U_{14}) → k_{12}Rotate(A_4, 120*°, A) → V_{14}Rotate(I'''_1, 120*°, A) → W_{14}Segment(V_{14}, W_{14}) → l_{12}Rotate(B_4, 120*°, A) → Z_{14}Rotate(J'''_1, 120*°, A) → A_{15}Segment(Z_{14}, A_{15}) → m_{12}Rotate(C_4, 120*°, A) → B_{15}Rotate(K'''_1, 120*°, A) → C_{15}Segment(B_{15}, C_{15}) → n_{12}Rotate(D_4, 120*°, A) → D_{15}Rotate(L'''_1, 120*°, A) → E_{15}Segment(D_{15}, E_{15}) → p_{12}Rotate(E_4, 120*°, A) → F_{15}Rotate(M'''_1, 120*°, A) → G_{15}Segment(F_{15}, G_{15}) → q_{12}Rotate(F_4, 120*°, A) → H_{15}Rotate(N'''_1, 120*°, A) → I_{15}Segment(H_{15}, I_{15}) → r_{12}Rotate(G_4, 120*°, A) → J_{15}Rotate(O'''_1, 120*°, A) → K_{15}Segment(J_{15}, K_{15}) → s_{12}Rotate(H_4, 120*°, A) → L_{15}Rotate(P'''_1, 120*°, A) → M_{15}Segment(L_{15}, M_{15}) → t_{12}Rotate(I_4, 120*°, A) → N_{15}Rotate(Q'''_1, 120*°, A) → O_{15}Segment(N_{15}, O_{15}) → a_{13}Rotate(J_4, 120*°, A) → P_{15}Rotate(R'''_1, 120*°, A) → Q_{15}Segment(P_{15}, Q_{15}) → b_{13}Rotate(K_4, 120*°, A) → R_{15}Rotate(S'''_1, 120*°, A) → S_{15}Segment(R_{15}, S_{15}) → c_{13}Rotate(L_4, 120*°, A) → T_{15}Rotate(T'''_1, 120*°, A) → U_{15}Segment(T_{15}, U_{15}) → d_{13}Rotate(M_4, 120*°, A) → V_{15}Rotate(U'''_1, 120*°, A) → W_{15}Segment(V_{15}, W_{15}) → e_{13}Rotate(N_4, 120*°, A) → Z_{15}Rotate(V'''_1, 120*°, A) → A_{16}Segment(Z_{15}, A_{16}) → f_{13}Rotate(O_4, 120*°, A) → B_{16}Rotate(W'''_1, 120*°, A) → C_{16}Segment(B_{16}, C_{16}) → g_{13}Rotate(P_4, 120*°, A) → D_{16}Rotate(Z'''_1, 120*°, A) → E_{16}Segment(D_{16}, E_{16}) → h_{13}Rotate(Q_4, 120*°, A) → F_{16}Rotate(R_4, 120*°, A) → G_{16}Segment(F_{16}, G_{16}) → i_{13}Rotate(S_4, 120*°, A) → H_{16}Rotate(T_4, 120*°, A) → I_{16}Segment(H_{16}, I_{16}) → j_{13}Rotate(U_4, 120*°, A) → J_{16}Rotate(C''', 120*°, A) → K_{16}Segment(J_{16}, K_{16}) → k_{13}Rotate(B'_1, 120*°, A) → L_{16}Rotate(V_4, 120*°, A) → M_{16}
AI Drawing Prompt Reference
Draw a dynamic polygon controlled by sliders, showing changes in its sides and shape. Start with an initial triangle, then connect the vertices to form a closed figure. Use vector rotation and segmenting to rotate each side by 60 degrees around the vertices, observing the dynamic transformation of the polygon. This process illustrates the interaction of polygons, vectors, and trigonometric functions, suitable for high school mathematics education.
The prompt above was compiled from the original drawing commands and is for reference only.