Rotation Tessellation Step 11
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Rotation Tessellation
This example demonstrates the construction of a geometric tessellation through rotation operations. Key math concepts include rotation, polygon construction, circle properties, and statistical characteristics. It uses commands like Polygon, Segment, Rotate, Midpoint, and Circle to create shapes, lines, rotated objects, midpoints, and circles. Suitable for high school mathematics education to understand transformation geometry and the methods of constructing tessellations.
GeoGebra Commands & Parameters
Polygon(A, B, 3) → poly1, a, b, c, CSegment(A, D) → dSegment(D, E) → eSegment(E, F) → fSegment(F, G) → gSegment(G, H) → hSegment(H, I) → iSegment(I, B) → jRotate(A, 300*°, B) → A'Rotate(D, 300*°, B) → D'Segment(A', D') → d'Rotate(D, 300*°, B) → D'_1Rotate(E, 300*°, B) → E'Segment(D'_1, E') → e'Rotate(E, 300*°, B) → E'_1Rotate(F, 300*°, B) → F'Segment(E'_1, F') → f'Rotate(F, 300*°, B) → F'_1Rotate(G, 300*°, B) → G'Segment(F'_1, G') → g'Rotate(G, 300*°, B) → G'_1Rotate(H, 300*°, B) → H'Segment(G'_1, H') → h'Rotate(H, 300*°, B) → H'_1Rotate(I, 300*°, B) → I'Segment(H'_1, I') → i'Rotate(I, 300*°, B) → I'_1Rotate(B, 300*°, B) → B'Segment(I'_1, B') → j'Midpoint(A, C) → JSegment(A, K) → kSegment(K, L) → lSegment(L, J) → mRotate(A, 180*°, J) → A'_1Rotate(K, 180*°, J) → K'Segment(A'_1, K') → k'Rotate(K, 180*°, J) → K'_1Rotate(L, 180*°, J) → L'Segment(K'_1, L') → l'Rotate(L, 180*°, J) → L'_1Rotate(J, 180*°, J) → J'Segment(L'_1, J') → m'Polygon(A, D, G', F'_1, E', D', C, K'_1, L', L, K, E, F, G, H, I, B, I'_1, H') → poly2, a_1, h'_1, g'_1, f'_1, e'_1, d'_1, c_1, k'_1, l'_1, l_1, k_1, d_1, e_1, f_1, g_1, h_1, i_1, b_1, i'_1Polygon(M, N, O) → poly3, o, m_1, nCircle(P, Q) → pSegment(A, R) → qSegment(R, S) → rSegment(S, T) → sSegment(A, U) → tSegment(U, V) → j_1Segment(V, W) → n_1Segment(A, Z) → p_1Segment(Z, A_1) → q_1Segment(A_1, B_1) → r_1Rotate(A, -60*°, B) → A'_2Rotate(D, -60*°, B) → D'_2Rotate(E, -60*°, B) → E'_2Rotate(F, -60*°, B) → F'_2Rotate(G, -60*°, B) → G'_2Rotate(H, -60*°, B) → H'_2Rotate(I, -60*°, B) → I'_2Rotate(B, -60*°, B) → B'_1Rotate(I'_1, -60*°, B) → C_1Rotate(H', -60*°, B) → H''Rotate(G', -60*°, B) → G''Rotate(F'_1, -60*°, B) → D_1Rotate(E', -60*°, B) → E''Rotate(D', -60*°, B) → D''Rotate(C, -60*°, B) → C'Rotate(K'_1, -60*°, B) → E_1Rotate(L', -60*°, B) → L''Rotate(L, -60*°, B) → L'_2Rotate(K, -60*°, B) → K'_2Polygon(A'_2, D'_2, G'', D_1, E'', D'', C', E_1, L'', L'_2, K'_2, E'_2, F'_2, G'_2, H'_2, I'_2, B'_1, C_1, H'') → poly2', a'_2, h'', g'', d_2, e'', d'', c', e_2, l'', l'_2, k'_2, d'_2, e'_2, f'_2, g'_2, h'_2, i'_2, b'_1, c_2Rotate(M, -60*°, B) → M'Rotate(N, -60*°, B) → N'Rotate(O, -60*°, B) → O'Polygon(M', N', O') → poly3', o', m'_1, n'Rotate(p, -60*°, B) → p'Rotate(A, -60*°, B) → A'_3Rotate(D, -60*°, B) → D'_3Segment(A'_3, D'_3) → d'_3Rotate(D, -60*°, B) → D'_4Rotate(E, -60*°, B) → E'_3Segment(D'_4, E'_3) → e'_3Rotate(E, -60*°, B) → E'_4Rotate(F, -60*°, B) → F'_3Segment(E'_4, F'_3) → f'_3Rotate(F, -60*°, B) → F'_4Rotate(G, -60*°, B) → G'_3Segment(F'_4, G'_3) → g'_3Rotate(G, -60*°, B) → G'_4Rotate(H, -60*°, B) → H'_3Segment(G'_4, H'_3) → h'_3Rotate(H, -60*°, B) → H'_4Rotate(I, -60*°, B) → I'_3Segment(H'_4, I'_3) → i'_3Rotate(I, -60*°, B) → I'_4Rotate(B, -60*°, B) → B'_2Segment(I'_4, B'_2) → j'_1Rotate(A', -60*°, B) → A''Rotate(D', -60*°, B) → D''_1Segment(A'', D''_1) → d''_1Rotate(D'_1, -60*°, B) → F_1Rotate(E', -60*°, B) → E''_1Segment(F_1, E''_1) → e''_1Rotate(E'_1, -60*°, B) → G_1Rotate(F', -60*°, B) → F''Segment(G_1, F'') → f''Rotate(F'_1, -60*°, B) → H_1Rotate(G', -60*°, B) → G''_1Segment(H_1, G''_1) → g''_1Rotate(G'_1, -60*°, B) → I_1Rotate(H', -60*°, B) → H''_1Segment(I_1, H''_1) → h''_1Rotate(H'_1, -60*°, B) → J_1Rotate(I', -60*°, B) → I''Segment(J_1, I'') → i''Rotate(I'_1, -60*°, B) → K_1Rotate(B', -60*°, B) → B''Segment(K_1, B'') → j''Rotate(A, -60*°, B) → A'_4Rotate(K, -60*°, B) → K'_3Segment(A'_4, K'_3) → k'_3Rotate(K, -60*°, B) → K'_4Rotate(L, -60*°, B) → L'_3Segment(K'_4, L'_3) → l'_3Rotate(L, -60*°, B) → L'_4Rotate(J, -60*°, B) → J'_1Segment(L'_4, J'_1) → m'_2Rotate(A'_1, -60*°, B) → L_1Rotate(K', -60*°, B) → K''Segment(L_1, K'') → k''Rotate(K'_1, -60*°, B) → M_1Rotate(L', -60*°, B) → L''_1Segment(M_1, L''_1) → l''_1Rotate(L'_1, -60*°, B) → N_1Rotate(J', -60*°, B) → J''Segment(N_1, J'') → m''Rotate(A, -60*°, B) → A'_5Rotate(R, -60*°, B) → R'Segment(A'_5, R') → q'Rotate(R, -60*°, B) → R'_1Rotate(S, -60*°, B) → S'Segment(R'_1, S') → r'Rotate(S, -60*°, B) → S'_1Rotate(T, -60*°, B) → T'Segment(S'_1, T') → s'Rotate(A, -60*°, B) → A'_6Rotate(U, -60*°, B) → U'Segment(A'_6, U') → t'Rotate(U, -60*°, B) → U'_1Rotate(V, -60*°, B) → V'Segment(U'_1, V') → s_1Rotate(V, -60*°, B) → V'_1Rotate(W, -60*°, B) → W'Segment(V'_1, W') → t_1Rotate(A, -60*°, B) → A'_7Rotate(Z, -60*°, B) → Z'Segment(A'_7, Z') → a_2Rotate(Z, -60*°, B) → Z'_1Rotate(A_1, -60*°, B) → O_1Segment(Z'_1, O_1) → b_2Rotate(A_1, -60*°, B) → P_1Rotate(B_1, -60*°, B) → Q_1Segment(P_1, Q_1) → f_2Rotate(A, -120*°, B) → A'_8Rotate(D, -120*°, B) → D'_5Rotate(E, -120*°, B) → E'_5Rotate(F, -120*°, B) → F'_5Rotate(G, -120*°, B) → G'_5Rotate(H, -120*°, B) → H'_5Rotate(I, -120*°, B) → I'_5Rotate(B, -120*°, B) → B'_3Rotate(I'_1, -120*°, B) → R_1Rotate(H', -120*°, B) → H''_2Rotate(G', -120*°, B) → G''_2Rotate(F'_1, -120*°, B) → S_1Rotate(E', -120*°, B) → E''_2Rotate(D', -120*°, B) → D''_2Rotate(C, -120*°, B) → C'_1Rotate(K'_1, -120*°, B) → T_1Rotate(L', -120*°, B) → L''_2Rotate(L, -120*°, B) → L'_5Rotate(K, -120*°, B) → K'_5Polygon(A'_8, D'_5, G''_2, S_1, E''_2, D''_2, C'_1, T_1, L''_2, L'_5, K'_5, E'_5, F'_5, G'_5, H'_5, I'_5, B'_3, R_1, H''_2) → poly2'_1, a'_8, h''_2, g''_2, s_2, e''_2, d''_2, c'_1, t_2, l''_2, l'_5, k'_5, d'_5, e'_5, f'_5, g'_5, h'_5, i'_5, b'_3, r_2Rotate(M, -120*°, B) → M'_1Rotate(N, -120*°, B) → N'_1Rotate(O, -120*°, B) → O'_1Polygon(M'_1, N'_1, O'_1) → poly3'_1, o'_1, m'_3, n'_1Rotate(A'_2, -120*°, B) → U_1Rotate(D'_2, -120*°, B) → V_1Rotate(E'_2, -120*°, B) → W_1Rotate(F'_2, -120*°, B) → Z_1Rotate(G'_2, -120*°, B) → A_2Rotate(H'_2, -120*°, B) → B_2Rotate(I'_2, -120*°, B) → C_2Rotate(B'_1, -120*°, B) → D_2Rotate(C_1, -120*°, B) → E_2Rotate(H'', -120*°, B) → H'''Rotate(G'', -120*°, B) → G'''Rotate(D_1, -120*°, B) → F_2Rotate(E'', -120*°, B) → E'''Rotate(D'', -120*°, B) → D'''Rotate(C', -120*°, B) → C''Rotate(E_1, -120*°, B) → G_2Rotate(L'', -120*°, B) → L'''Rotate(L'_2, -120*°, B) → H_2Rotate(K'_2, -120*°, B) → I_2Polygon(U_1, V_1, G''', F_2, E''', D''', C'', G_2, L''', H_2, I_2, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, H''') → poly2'', u_1, h''', g''', f_3, e''', d''', c'', g_2, l''', h_2, i_2, v_1, w_1, z_1, a_3, b_3, c_3, d_3, e_3Rotate(M', -120*°, B) → M''Rotate(N', -120*°, B) → N''Rotate(O', -120*°, B) → O''Polygon(M'', N'', O'') → poly3'', o'', m''_1, n''Rotate(p, -120*°, B) → p'_1Rotate(p', -120*°, B) → p''Rotate(A, -120*°, B) → A'_9Rotate(D, -120*°, B) → D'_6Segment(A'_9, D'_6) → d'_4Rotate(D, -120*°, B) → D'_7Rotate(E, -120*°, B) → E'_6Segment(D'_7, E'_6) → e'_4Rotate(E, -120*°, B) → E'_7Rotate(F, -120*°, B) → F'_6Segment(E'_7, F'_6) → f'_4Rotate(F, -120*°, B) → F'_7Rotate(G, -120*°, B) → G'_6Segment(F'_7, G'_6) → g'_4Rotate(G, -120*°, B) → G'_7Rotate(H, -120*°, B) → H'_6Segment(G'_7, H'_6) → h'_4Rotate(H, -120*°, B) → H'_7Rotate(I, -120*°, B) → I'_6Segment(H'_7, I'_6) → i'_4Rotate(I, -120*°, B) → I'_7Rotate(B, -120*°, B) → B'_4Segment(I'_7, B'_4) → j'_2Rotate(A', -120*°, B) → A''_1Rotate(D', -120*°, B) → D''_3Segment(A''_1, D''_3) → d''_3Rotate(D'_1, -120*°, B) → J_2Rotate(E', -120*°, B) → E''_3Segment(J_2, E''_3) → e''_3Rotate(E'_1, -120*°, B) → K_2Rotate(F', -120*°, B) → F''_1Segment(K_2, F''_1) → f''_1Rotate(F'_1, -120*°, B) → L_2Rotate(G', -120*°, B) → G''_3Segment(L_2, G''_3) → g''_3Rotate(G'_1, -120*°, B) → M_2Rotate(H', -120*°, B) → H''_3Segment(M_2, H''_3) → h''_3Rotate(H'_1, -120*°, B) → N_2Rotate(I', -120*°, B) → I''_1Segment(N_2, I''_1) → i''_1Rotate(I'_1, -120*°, B) → O_2Rotate(B', -120*°, B) → B''_1Segment(O_2, B''_1) → j''_1Rotate(A, -120*°, B) → A'_{10}Rotate(K, -120*°, B) → K'_6Segment(A'_{10}, K'_6) → k'_4Rotate(K, -120*°, B) → K'_7Rotate(L, -120*°, B) → L'_6Segment(K'_7, L'_6) → l'_4Rotate(L, -120*°, B) → L'_7Rotate(J, -120*°, B) → J'_2Segment(L'_7, J'_2) → m'_4Rotate(A'_1, -120*°, B) → P_2Rotate(K', -120*°, B) → K''_1Segment(P_2, K''_1) → k''_1Rotate(K'_1, -120*°, B) → Q_2Rotate(L', -120*°, B) → L''_3Segment(Q_2, L''_3) → l''_3Rotate(L'_1, -120*°, B) → R_2Rotate(J', -120*°, B) → J''_1Segment(R_2, J''_1) → m''_2Rotate(A, -120*°, B) → A'_{11}Rotate(R, -120*°, B) → R'_2Segment(A'_{11}, R'_2) → q'_1Rotate(R, -120*°, B) → R'_3Rotate(S, -120*°, B) → S'_2Segment(R'_3, S'_2) → r'_1Rotate(S, -120*°, B) → S'_3Rotate(T, -120*°, B) → T'_1Segment(S'_3, T'_1) → s'_1Rotate(A, -120*°, B) → A'_{12}Rotate(U, -120*°, B) → U'_2Segment(A'_{12}, U'_2) → t'_1Rotate(U, -120*°, B) → U'_3Rotate(V, -120*°, B) → V'_2Segment(U'_3, V'_2) → j_2Rotate(V, -120*°, B) → V'_3Rotate(W, -120*°, B) → W'_1Segment(V'_3, W'_1) → k_2Rotate(A, -120*°, B) → A'_{13}Rotate(Z, -120*°, B) → Z'_2Segment(A'_{13}, Z'_2) → l_2Rotate(Z, -120*°, B) → Z'_3Rotate(A_1, -120*°, B) → S_2Segment(Z'_3, S_2) → m_2Rotate(A_1, -120*°, B) → T_2Rotate(B_1, -120*°, B) → U_2Segment(T_2, U_2) → n_2Rotate(A'_3, -120*°, B) → V_2Rotate(D'_3, -120*°, B) → W_2Segment(V_2, W_2) → p_2Rotate(D'_4, -120*°, B) → Z_2Rotate(E'_3, -120*°, B) → A_3Segment(Z_2, A_3) → q_2Rotate(E'_4, -120*°, B) → B_3Rotate(F'_3, -120*°, B) → C_3Segment(B_3, C_3) → g_3Rotate(F'_4, -120*°, B) → D_3Rotate(G'_3, -120*°, B) → E_3Segment(D_3, E_3) → h_3Rotate(G'_4, -120*°, B) → F_3Rotate(H'_3, -120*°, B) → G_3Segment(F_3, G_3) → i_3Rotate(H'_4, -120*°, B) → H_3Rotate(I'_3, -120*°, B) → I_3Segment(H_3, I_3) → j_3Rotate(I'_4, -120*°, B) → J_3Rotate(B'_2, -120*°, B) → K_3Segment(J_3, K_3) → k_3Rotate(A'', -120*°, B) → A'''Rotate(D''_1, -120*°, B) → L_3Segment(A''', L_3) → l_3Rotate(F_1, -120*°, B) → M_3Rotate(E''_1, -120*°, B) → N_3Segment(M_3, N_3) → m_3Rotate(G_1, -120*°, B) → O_3Rotate(F'', -120*°, B) → F'''Segment(O_3, F''') → f'''Rotate(H_1, -120*°, B) → P_3Rotate(G''_1, -120*°, B) → Q_3Segment(P_3, Q_3) → n_3Rotate(I_1, -120*°, B) → R_3Rotate(H''_1, -120*°, B) → S_3Segment(R_3, S_3) → p_3Rotate(J_1, -120*°, B) → T_3Rotate(I'', -120*°, B) → I'''Segment(T_3, I''') → i'''Rotate(K_1, -120*°, B) → U_3Rotate(B'', -120*°, B) → B'''Segment(U_3, B''') → j'''Rotate(A'_4, -120*°, B) → V_3Rotate(K'_3, -120*°, B) → W_3Segment(V_3, W_3) → q_3Rotate(K'_4, -120*°, B) → Z_3Rotate(L'_3, -120*°, B) → A_4Segment(Z_3, A_4) → r_3Rotate(L'_4, -120*°, B) → B_4Rotate(J'_1, -120*°, B) → C_4Segment(B_4, C_4) → s_3Rotate(L_1, -120*°, B) → D_4Rotate(K'', -120*°, B) → K'''Segment(D_4, K''') → k'''Rotate(M_1, -120*°, B) → E_4Rotate(L''_1, -120*°, B) → F_4Segment(E_4, F_4) → t_3Rotate(N_1, -120*°, B) → G_4Rotate(J'', -120*°, B) → J'''Segment(G_4, J''') → m'''Rotate(A'_5, -120*°, B) → H_4Rotate(R', -120*°, B) → R''Segment(H_4, R'') → q''Rotate(R'_1, -120*°, B) → I_4Rotate(S', -120*°, B) → S''Segment(I_4, S'') → r''Rotate(S'_1, -120*°, B) → J_4Rotate(T', -120*°, B) → T''Segment(J_4, T'') → s''Rotate(A'_6, -120*°, B) → K_4Rotate(U', -120*°, B) → U''Segment(K_4, U'') → t''Rotate(U'_1, -120*°, B) → L_4Rotate(V', -120*°, B) → V''Segment(L_4, V'') → a_4Rotate(V'_1, -120*°, B) → M_4Rotate(W', -120*°, B) → W''Segment(M_4, W'') → b_4Rotate(A'_7, -120*°, B) → N_4Rotate(Z', -120*°, B) → Z''Segment(N_4, Z'') → c_4Rotate(Z'_1, -120*°, B) → O_4Rotate(O_1, -120*°, B) → P_4Segment(O_4, P_4) → d_4Rotate(P_1, -120*°, B) → Q_4Rotate(Q_1, -120*°, B) → R_4Segment(Q_4, R_4) → e_4Rotate(M', -120*°, B) → M''_1Rotate(N', -120*°, B) → N''_1Rotate(O', -120*°, B) → O''_1Polygon(M''_1, N''_1, O''_1) → poly3''_1, o''_1, m''_3, n''_1Rotate(A'_8, -120*°, B) → S_4Rotate(D'_5, -120*°, B) → T_4Rotate(E'_5, -120*°, B) → U_4Rotate(F'_5, -120*°, B) → V_4Rotate(G'_5, -120*°, B) → W_4Rotate(H'_5, -120*°, B) → Z_4Rotate(I'_5, -120*°, B) → A_5Rotate(B'_3, -120*°, B) → B_5Rotate(R_1, -120*°, B) → C_5Rotate(H''_2, -120*°, B) → D_5Rotate(G''_2, -120*°, B) → E_5Rotate(S_1, -120*°, B) → F_5Rotate(E''_2, -120*°, B) → G_5Rotate(D''_2, -120*°, B) → H_5Rotate(C'_1, -120*°, B) → I_5Rotate(T_1, -120*°, B) → J_5Rotate(L''_2, -120*°, B) → K_5Rotate(L'_5, -120*°, B) → L_5Rotate(K'_5, -120*°, B) → M_5Polygon(S_4, T_4, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_5, M_5, U_4, V_4, W_4, Z_4, A_5, B_5, C_5, D_5) → poly4, s_4, d_5, e_5, f_5, g_5, h_5, i_5, j_5, k_5, l_5, m_5, t_4, u_4, v_4, w_4, z_4, a_5, b_5, c_5Rotate(M'_1, -120*°, B) → N_5Rotate(N'_1, -120*°, B) → O_5Rotate(O'_1, -120*°, B) → P_5Polygon(N_5, O_5, P_5) → poly5, p_5, n_5, o_5Rotate(U_1, -120*°, B) → Q_5Rotate(V_1, -120*°, B) → R_5Rotate(W_1, -120*°, B) → S_5Rotate(Z_1, -120*°, B) → T_5Rotate(A_2, -120*°, B) → U_5Rotate(B_2, -120*°, B) → V_5Rotate(C_2, -120*°, B) → W_5Rotate(D_2, -120*°, B) → Z_5Rotate(E_2, -120*°, B) → A_6Rotate(H''', -120*°, B) → B_6Rotate(G''', -120*°, B) → C_6Rotate(F_2, -120*°, B) → D_6Rotate(E''', -120*°, B) → E_6Rotate(D''', -120*°, B) → F_6Rotate(C'', -120*°, B) → C'''Rotate(G_2, -120*°, B) → G_6Rotate(L''', -120*°, B) → H_6Rotate(H_2, -120*°, B) → I_6Rotate(I_2, -120*°, B) → J_6Polygon(Q_5, R_5, C_6, D_6, E_6, F_6, C''', G_6, H_6, I_6, J_6, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6) → poly2''', q_5, b_6, c_6, d_6, e_6, f_6, c''', g_6, h_6, i_6, j_6, r_5, s_5, t_5, u_5, v_5, w_5, z_5, a_6Rotate(M'', -120*°, B) → M'''Rotate(N'', -120*°, B) → N'''Rotate(O'', -120*°, B) → O'''Polygon(M''', N''', O''') → poly3''', o''', m'''_1, n'''Rotate(p'_1, -120*°, B) → f_4Rotate(p'', -120*°, B) → p'''Rotate(H, -120*°, B) → H'_8Rotate(I, -120*°, B) → I'_8Segment(H'_8, I'_8) → i'_6Rotate(I, -120*°, B) → I'_9Rotate(B, -120*°, B) → B'_5Segment(I'_9, B'_5) → j'_3Rotate(I'_1, -120*°, B) → K_6Rotate(B', -120*°, B) → B''_2Segment(K_6, B''_2) → j''_2Rotate(H, -120*°, B) → H'_9Rotate(I, -120*°, B) → I'_{10}Segment(H'_9, I'_{10}) → g_4Rotate(I, -120*°, B) → I'_{11}Rotate(B, -120*°, B) → B'_6Segment(I'_{11}, B'_6) → h_4Rotate(B, -120*°, B) → B'_7Rotate(I'_1, -120*°, B) → L_6Segment(B'_7, L_6) → i_4Rotate(I'_2, -120*°, B) → M_6Rotate(B'_1, -120*°, B) → N_6Segment(M_6, N_6) → j_4Rotate(B'_1, -120*°, B) → O_6Rotate(C_1, -120*°, B) → P_6Segment(O_6, P_6) → k_4Rotate(C_1, -120*°, B) → Q_6Rotate(H'', -120*°, B) → H'''_1Segment(Q_6, H'''_1) → l_4Rotate(H'', -120*°, B) → H'''_2Rotate(G'', -120*°, B) → G'''_1Segment(H'''_2, G'''_1) → h'''_1Rotate(G'', -120*°, B) → G'''_2Rotate(D_1, -120*°, B) → R_6Segment(G'''_2, R_6) → g'''_1Rotate(D_1, -120*°, B) → S_6Rotate(E'', -120*°, B) → E'''_1Segment(S_6, E'''_1) → m_4Rotate(E'', -120*°, B) → E'''_2Rotate(D'', -120*°, B) → D'''_1Segment(E'''_2, D'''_1) → e'''_1Rotate(D'', -120*°, B) → D'''_2Rotate(C', -120*°, B) → C''_1Segment(D'''_2, C''_1) → d'''_1Rotate(C', -120*°, B) → C''_2Rotate(E_1, -120*°, B) → T_6Segment(C''_2, T_6) → c''_1Rotate(I'_4, -120*°, B) → U_6Rotate(B'_2, -120*°, B) → V_6Segment(U_6, V_6) → n_4Rotate(A'', -120*°, B) → A'''_1Rotate(D''_1, -120*°, B) → W_6Segment(A'''_1, W_6) → p_4Rotate(F_1, -120*°, B) → Z_6Rotate(E''_1, -120*°, B) → A_7Segment(Z_6, A_7) → q_4Rotate(G_1, -120*°, B) → B_7Rotate(F'', -120*°, B) → F'''_1Segment(B_7, F'''_1) → f'''_1Rotate(H_1, -120*°, B) → C_7Rotate(G''_1, -120*°, B) → D_7Segment(C_7, D_7) → r_4Rotate(I_1, -120*°, B) → E_7Rotate(H''_1, -120*°, B) → F_7Segment(E_7, F_7) → k_6Rotate(J_1, -120*°, B) → G_7Rotate(I'', -120*°, B) → I'''_1Segment(G_7, I'''_1) → i'''_1Rotate(K_1, -120*°, B) → H_7Rotate(B'', -120*°, B) → B'''_1Segment(H_7, B'''_1) → j'''_1Rotate(L_1, -120*°, B) → I_7Rotate(K'', -120*°, B) → K'''_1Segment(I_7, K'''_1) → k'''_1Rotate(A'_9, -120*°, B) → J_7Rotate(D'_6, -120*°, B) → K_7Segment(J_7, K_7) → l_6Rotate(D'_7, -120*°, B) → L_7Rotate(E'_6, -120*°, B) → M_7Segment(L_7, M_7) → m_6Rotate(E'_7, -120*°, B) → N_7Rotate(F'_6, -120*°, B) → O_7Segment(N_7, O_7) → n_6Rotate(F'_7, -120*°, B) → P_7Rotate(G'_6, -120*°, B) → Q_7Segment(P_7, Q_7) → p_6Rotate(G'_7, -120*°, B) → R_7Rotate(H'_6, -120*°, B) → S_7Segment(R_7, S_7) → q_6Rotate(H'_7, -120*°, B) → T_7Rotate(I'_6, -120*°, B) → U_7Segment(T_7, U_7) → r_6Rotate(I'_7, -120*°, B) → V_7Rotate(B'_4, -120*°, B) → W_7Segment(V_7, W_7) → s_6Rotate(A''_1, -120*°, B) → Z_7Rotate(D''_3, -120*°, B) → A_8Segment(Z_7, A_8) → t_6Rotate(J_2, -120*°, B) → B_8Rotate(E''_3, -120*°, B) → C_8Segment(B_8, C_8) → a_7Rotate(K_2, -120*°, B) → D_8Rotate(F''_1, -120*°, B) → E_8Segment(D_8, E_8) → b_7Rotate(L_2, -120*°, B) → F_8Rotate(G''_3, -120*°, B) → G_8Segment(F_8, G_8) → c_7Rotate(M_2, -120*°, B) → H_8Rotate(H''_3, -120*°, B) → I_8Segment(H_8, I_8) → d_7Rotate(N_2, -120*°, B) → J_8Rotate(I''_1, -120*°, B) → K_8Segment(J_8, K_8) → e_7Rotate(O_2, -120*°, B) → L_8Rotate(B''_1, -120*°, B) → M_8Segment(L_8, M_8) → f_7Rotate(A'_{10}, -120*°, B) → N_8Rotate(K'_6, -120*°, B) → O_8Segment(N_8, O_8) → g_7Rotate(K'_7, -120*°, B) → P_8Rotate(L'_6, -120*°, B) → Q_8Segment(P_8, Q_8) → h_7Rotate(L'_7, -120*°, B) → R_8Rotate(J'_2, -120*°, B) → S_8Segment(R_8, S_8) → i_7Rotate(P_2, -120*°, B) → T_8Rotate(K''_1, -120*°, B) → U_8Segment(T_8, U_8) → j_7Rotate(Q_2, -120*°, B) → V_8Rotate(L''_3, -120*°, B) → W_8Segment(V_8, W_8) → k_7Rotate(R_2, -120*°, B) → Z_8Rotate(J''_1, -120*°, B) → A_9Segment(Z_8, A_9) → l_7Rotate(A'_{11}, -120*°, B) → B_9Rotate(R'_2, -120*°, B) → C_9Segment(B_9, C_9) → m_7Rotate(R'_3, -120*°, B) → D_9Rotate(S'_2, -120*°, B) → E_9Segment(D_9, E_9) → n_7Rotate(S'_3, -120*°, B) → F_9Rotate(T'_1, -120*°, B) → G_9Segment(F_9, G_9) → p_7Rotate(A'_{12}, -120*°, B) → H_9Rotate(U'_2, -120*°, B) → I_9Segment(H_9, I_9) → q_7Rotate(U'_3, -120*°, B) → J_9Rotate(V'_2, -120*°, B) → K_9Segment(J_9, K_9) → r_7Rotate(V'_3, -120*°, B) → L_9Rotate(W'_1, -120*°, B) → M_9Segment(L_9, M_9) → s_7Rotate(A'_{13}, -120*°, B) → N_9Rotate(Z'_2, -120*°, B) → O_9Segment(N_9, O_9) → t_7Rotate(Z'_3, -120*°, B) → P_9Rotate(S_2, -120*°, B) → Q_9Segment(P_9, Q_9) → a_8Rotate(T_2, -120*°, B) → R_9Rotate(U_2, -120*°, B) → S_9Segment(R_9, S_9) → b_8Rotate(V_2, -120*°, B) → T_9Rotate(W_2, -120*°, B) → U_9Segment(T_9, U_9) → c_8Rotate(Z_2, -120*°, B) → V_9Rotate(A_3, -120*°, B) → W_9Segment(V_9, W_9) → d_8Rotate(B_3, -120*°, B) → Z_9Rotate(C_3, -120*°, B) → A_{10}Segment(Z_9, A_{10}) → e_8Rotate(D_3, -120*°, B) → B_{10}Rotate(E_3, -120*°, B) → C_{10}Segment(B_{10}, C_{10}) → f_8Rotate(F_3, -120*°, B) → D_{10}Rotate(G_3, -120*°, B) → E_{10}Segment(D_{10}, E_{10}) → g_8Rotate(H_3, -120*°, B) → F_{10}Rotate(I_3, -120*°, B) → G_{10}Segment(F_{10}, G_{10}) → h_8Rotate(J_3, -120*°, B) → H_{10}Rotate(K_3, -120*°, B) → I_{10}Segment(H_{10}, I_{10}) → i_8Rotate(A''', -120*°, B) → J_{10}Rotate(L_3, -120*°, B) → K_{10}Segment(J_{10}, K_{10}) → j_8Rotate(M_3, -120*°, B) → L_{10}Rotate(N_3, -120*°, B) → M_{10}Segment(L_{10}, M_{10}) → k_8Rotate(O_3, -120*°, B) → N_{10}Rotate(F''', -120*°, B) → O_{10}Segment(N_{10}, O_{10}) → l_8Rotate(P_3, -120*°, B) → P_{10}Rotate(Q_3, -120*°, B) → Q_{10}Segment(P_{10}, Q_{10}) → m_8Rotate(R_3, -120*°, B) → R_{10}Rotate(S_3, -120*°, B) → S_{10}Segment(R_{10}, S_{10}) → n_8Rotate(T_3, -120*°, B) → T_{10}Rotate(I''', -120*°, B) → U_{10}Segment(T_{10}, U_{10}) → p_8Rotate(U_3, -120*°, B) → V_{10}Rotate(B''', -120*°, B) → W_{10}Segment(V_{10}, W_{10}) → q_8Rotate(V_3, -120*°, B) → Z_{10}Rotate(W_3, -120*°, B) → A_{11}Segment(Z_{10}, A_{11}) → r_8Rotate(Z_3, -120*°, B) → B_{11}Rotate(A_4, -120*°, B) → C_{11}Segment(B_{11}, C_{11}) → s_8Rotate(B_4, -120*°, B) → D_{11}Rotate(C_4, -120*°, B) → E_{11}Segment(D_{11}, E_{11}) → t_8Rotate(D_4, -120*°, B) → F_{11}Rotate(K''', -120*°, B) → G_{11}Segment(F_{11}, G_{11}) → a_9Rotate(E_4, -120*°, B) → H_{11}Rotate(F_4, -120*°, B) → I_{11}Segment(H_{11}, I_{11}) → b_9Rotate(G_4, -120*°, B) → J_{11}Rotate(J''', -120*°, B) → K_{11}Segment(J_{11}, K_{11}) → c_9Rotate(H_4, -120*°, B) → L_{11}Rotate(R'', -120*°, B) → R'''Segment(L_{11}, R''') → q'''Rotate(I_4, -120*°, B) → M_{11}Rotate(S'', -120*°, B) → S'''Segment(M_{11}, S''') → r'''Rotate(J_4, -120*°, B) → N_{11}Rotate(T'', -120*°, B) → T'''Segment(N_{11}, T''') → s'''Rotate(K_4, -120*°, B) → O_{11}Rotate(U'', -120*°, B) → U'''Segment(O_{11}, U''') → t'''Rotate(L_4, -120*°, B) → P_{11}Rotate(V'', -120*°, B) → V'''Segment(P_{11}, V''') → d_9Rotate(M_4, -120*°, B) → Q_{11}Rotate(W'', -120*°, B) → W'''Segment(Q_{11}, W''') → e_9Rotate(N_4, -120*°, B) → R_{11}Rotate(Z'', -120*°, B) → Z'''Segment(R_{11}, Z''') → f_9Rotate(O_4, -120*°, B) → S_{11}Rotate(P_4, -120*°, B) → T_{11}Segment(S_{11}, T_{11}) → g_9Rotate(Q_4, -120*°, B) → U_{11}Rotate(R_4, -120*°, B) → V_{11}Segment(U_{11}, V_{11}) → h_9Rotate(I'_3, -120*°, B) → W_{11}Rotate(M_1, -120*°, B) → Z_{11}
AI Drawing Prompt Reference
Create a geometric tessellation through rotation. Start by drawing triangle ABC, then rotate its sides around point B to form new triangles A'D'E', D'E'F', E'F'G', F'G'H', G'H'I', and H'I'B'. Next, draw line segments AB, DE, EF, FG, GH, and HI, and rotate these segments around point B to form new segments A'D', D'E', E'F', F'G', G'H', and H'I'. Finally, draw polygon A'D'G'F'E'D' and A'B'I'H'G'F'E'D'C, and a circle with diameter P and Q.
The prompt above was compiled from the original drawing commands and is for reference only.