Translation Tessellation Example

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2014-03-28 10:16

In collections Translation Tesselation

This example demonstrates the construction of a tessellation pattern through translation operations. It involves core mathematical concepts such as vector transformation, polygon construction, and the continuous joining of geometric shapes. Key GeoGebra commands/objects used include Polygon, Segment, Vector, Translate, Intersect, Point, and Circle. It is suitable for high school students learning about geometric transformations and pattern design.

GeoGebra Commands & Parameters

Polygon(A, B, 4) → poly1, a, b, c, d, C, D
Segment(A, E) → e
Segment(E, F) → f
Segment(F, G) → g
Segment(G, H) → h
Segment(J, B) → k
Segment(H, J) → i
Vector(A, D) → u
Translate(A, u) → A'
Translate(E, u) → E'
Segment(A', E') → e'
Translate(E, u) → E'_1
Translate(F, u) → F'
Segment(E'_1, F') → f'
Translate(F, u) → F'_1
Translate(G, u) → G'
Segment(F'_1, G') → g'
Translate(G, u) → G'_1
Translate(H, u) → H'
Segment(G'_1, H') → h'
Translate(J, u) → J'
Translate(B, u) → B'
Segment(J', B') → k'
Translate(H, u) → H'_1
Translate(J, u) → J'_1
Segment(H'_1, J'_1) → i'
Segment(D, I) → j
Segment(I, K) → l
Segment(K, L) → m
Segment(L, M) → n
Segment(M, N) → p
Segment(N, A) → q
Vector(A, B) → v
Translate(A, v) → A'_1
Translate(E, v) → E'_2
Segment(A'_1, E'_2) → e'_1
Translate(A', v) → A''
Translate(E', v) → E''
Segment(A'', E'') → e''
Translate(D, v) → D'
Translate(I, v) → I'
Segment(D', I') → j'
Translate(I, v) → I'_1
Translate(K, v) → K'
Segment(I'_1, K') → l'
Translate(K, v) → K'_1
Translate(L, v) → L'
Segment(K'_1, L') → m'
Translate(L, v) → L'_1
Translate(M, v) → M'
Segment(L'_1, M') → n'
Translate(M, v) → M'_1
Translate(N, v) → N'
Segment(M'_1, N') → p'
Translate(N, v) → N'_1
Translate(A, v) → A'_2
Segment(N'_1, A'_2) → q'
Intersect(f, g) → O
Intersect(g, h) → P
Point(i) → Q
Intersect(k, i) → R
Intersect(p', q') → S
Intersect(n', p') → T
Intersect(m', n') → U
Intersect(l', m') → V
Intersect(j', l') → W
Intersect(k', i') → Z
Intersect(h', i') → A_1
Intersect(g', h') → B_1
Intersect(f', g') → C_1
Point(l) → D_1
Intersect(l, m) → E_1
Intersect(m, n) → F_1
Intersect(n, p) → G_1
Intersect(p, q) → H_1
Polygon(A, O, W, C, Z, A_1, B_1, C_1, D, D_1, E_1, F_1, P, G_1, H_1, Q, R, B, S, T, U, V) → poly2, a_1, v_1, w, c_1, z, a_2, b_2, c_2, d_1, d_2, e_1, o, f_1, g_1, h_1, p_1, q_1, r, b_1, s, t, u_1
Circle(I_1, J_1) → k_1
Intersect(n', p') → K_1
Intersect(m', n') → L_1
Point(m') → M_1
Point(n') → N_1
Point(n') → P_1
Point(n') → R_1
Polygon(K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, S_1) → poly3, k_2, l_1, m_1, n_1, o_1, p_2, q_2, r_1, s_1
Intersect(n, p) → T_1
Intersect(m, n) → U_1
Polygon(T_1, U_1, V_1, W_1, Z_1, A_2, B_2) → poly4, t_1, u_2, v_2, w_1, z_1, a_3, b_3
Translate(A, v) → A'_3
Translate(O, v) → O'
Translate(P, v) → P'
Translate(Q, v) → Q'
Translate(R, v) → R'
Translate(B, v) → B'_1
Translate(S, v) → S'
Translate(T, v) → T'
Translate(U, v) → U'
Translate(V, v) → V'
Translate(W, v) → W'
Translate(C, v) → C'
Translate(Z, v) → Z'
Translate(A_1, v) → C_2
Translate(B_1, v) → D_2
Translate(C_1, v) → E_2
Translate(D, v) → D'_1
Translate(D_1, v) → F_2
Translate(E_1, v) → G_2
Translate(F_1, v) → H_2
Translate(G_1, v) → I_2
Translate(H_1, v) → J_2
Polygon(A'_3, O', W', C', Z', C_2, D_2, E_2, D'_1, F_2, G_2, H_2, P', I_2, J_2, Q', R', B'_1, S', T', U', V') → poly2', a'_3, v', w', c', z', c_3, d_3, e_2, d'_1, f_2, g_2, o', h_2, i_2, j_2, p'_1, q'_1, r', b'_1, s', t', u'
Translate(K_1, v) → K_2
Translate(L_1, v) → L_2
Translate(M_1, v) → M_2
Translate(N_1, v) → N_2
Translate(O_1, v) → O_2
Translate(P_1, v) → P_2
Translate(Q_1, v) → Q_2
Translate(R_1, v) → R_2
Translate(S_1, v) → S_2
Polygon(K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, S_2) → poly3', k_3, l_2, m_2, n_2, o_2, p_3, q_3, r_2, s_2
Translate(T_1, v) → T_2
Translate(U_1, v) → U_2
Translate(V_1, v) → V_2
Translate(W_1, v) → W_2
Translate(Z_1, v) → Z_2
Translate(A_2, v) → A_3
Translate(B_2, v) → B_3
Polygon(T_2, U_2, V_2, W_2, Z_2, A_3, B_3) → poly4', t_2, u_3, v_3, w_2, z_2, a_4, b_4
Translate(k_1, v) → e_3
Translate(A, v) → A'_4
Translate(E, v) → E'_3
Segment(A'_4, E'_3) → e'_2
Translate(E, v) → E'_4
Translate(F, v) → F'_2
Segment(E'_4, F'_2) → f'_1
Translate(F, v) → F'_3
Translate(G, v) → G'_2
Segment(F'_3, G'_2) → g'_1
Translate(G, v) → G'_3
Translate(H, v) → H'_2
Segment(G'_3, H'_2) → h'_1
Translate(J, v) → J'_2
Translate(B, v) → B'_2
Segment(J'_2, B'_2) → k'_1
Translate(H, v) → H'_3
Translate(J, v) → J'_3
Segment(H'_3, J'_3) → i'_1
Translate(A', v) → A''_1
Translate(E', v) → E''_1
Segment(A''_1, E''_1) → e''_1
Translate(E'_1, v) → C_3
Translate(F', v) → F''
Segment(C_3, F'') → f''
Translate(F'_1, v) → D_3
Translate(G', v) → G''
Segment(D_3, G'') → g''
Translate(G'_1, v) → E_3
Translate(H', v) → H''
Segment(E_3, H'') → h''
Translate(J', v) → J''
Translate(B', v) → B''
Segment(J'', B'') → k''
Translate(H'_1, v) → F_3
Translate(J'_1, v) → G_3
Segment(F_3, G_3) → i''
Translate(D, v) → D'_2
Translate(I, v) → I'_2
Segment(D'_2, I'_2) → j'_1
Translate(I, v) → I'_3
Translate(K, v) → K'_2
Segment(I'_3, K'_2) → l'_1
Translate(K, v) → K'_3
Translate(L, v) → L'_2
Segment(K'_3, L'_2) → m'_1
Translate(L, v) → L'_3
Translate(M, v) → M'_2
Segment(L'_3, M'_2) → n'_1
Translate(M, v) → M'_3
Translate(N, v) → N'_2
Segment(M'_3, N'_2) → p'_2
Translate(N, v) → N'_3
Translate(A, v) → A'_5
Segment(N'_3, A'_5) → q'_2
Translate(D', v) → D''
Translate(I', v) → I''
Segment(D'', I'') → j''
Translate(I'_1, v) → H_3
Translate(K', v) → K''
Segment(H_3, K'') → l''
Translate(K'_1, v) → I_3
Translate(L', v) → L''
Segment(I_3, L'') → m''
Translate(L'_1, v) → J_3
Translate(M', v) → M''
Segment(J_3, M'') → n''
Translate(M'_1, v) → K_3
Translate(N', v) → N''
Segment(K_3, N'') → p''
Translate(N'_1, v) → L_3
Translate(A'_2, v) → M_3
Segment(L_3, M_3) → q''
Translate(I_1, v) → N_3
Translate(A, u) → A'_6
Translate(O, u) → O'_1
Translate(P, u) → P'_1
Translate(Q, u) → Q'_1
Translate(R, u) → R'_1
Translate(B, u) → B'_3
Translate(S, u) → S'_1
Translate(T, u) → T'_1
Translate(U, u) → U'_1
Translate(V, u) → V'_1
Translate(W, u) → W'_1
Translate(C, u) → C'_1
Translate(Z, u) → Z'_1
Translate(A_1, u) → O_3
Translate(B_1, u) → P_3
Translate(C_1, u) → Q_3
Translate(D, u) → D'_3
Translate(D_1, u) → R_3
Translate(E_1, u) → S_3
Translate(F_1, u) → T_3
Translate(G_1, u) → U_3
Translate(H_1, u) → V_3
Polygon(A'_6, O'_1, W'_1, C'_1, Z'_1, O_3, P_3, Q_3, D'_3, R_3, S_3, T_3, P'_1, U_3, V_3, Q'_1, R'_1, B'_3, S'_1, T'_1, U'_1, V'_1) → poly2'_1, a'_6, v'_1, w'_1, c'_1, z'_1, o_3, p_4, q_4, d'_3, r_3, s_3, o'_1, t_3, u_4, v_4, p'_3, q'_3, r'_1, b'_3, s'_1, t'_1, u'_1
Translate(K_1, u) → W_3
Translate(L_1, u) → Z_3
Translate(M_1, u) → A_4
Translate(N_1, u) → B_4
Translate(O_1, u) → C_4
Translate(P_1, u) → D_4
Translate(Q_1, u) → E_4
Translate(R_1, u) → F_4
Translate(S_1, u) → G_4
Polygon(W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4, G_4) → poly3'_1, w_3, z_3, a_5, b_5, c_4, d_4, e_4, f_4, g_4
Translate(T_1, u) → H_4
Translate(U_1, u) → I_4
Translate(V_1, u) → J_4
Translate(W_1, u) → K_4
Translate(Z_1, u) → L_4
Translate(A_2, u) → M_4
Translate(B_2, u) → N_4
Polygon(H_4, I_4, J_4, K_4, L_4, M_4, N_4) → poly4'_1, h_4, i_4, j_4, k_4, l_4, m_4, n_4
Translate(A'_3, u) → O_4
Translate(O', u) → O''
Translate(P', u) → P''
Translate(Q', u) → Q''
Translate(R', u) → R''
Translate(B'_1, u) → P_4
Translate(S', u) → S''
Translate(T', u) → T''
Translate(U', u) → U''
Translate(V', u) → V''
Translate(W', u) → W''
Translate(C', u) → C''
Translate(Z', u) → Z''
Translate(C_2, u) → Q_4
Translate(D_2, u) → R_4
Translate(E_2, u) → S_4
Translate(D'_1, u) → T_4
Translate(F_2, u) → U_4
Translate(G_2, u) → V_4
Translate(H_2, u) → W_4
Translate(I_2, u) → Z_4
Translate(J_2, u) → A_5
Polygon(O_4, O'', W'', C'', Z'', Q_4, R_4, S_4, T_4, U_4, V_4, W_4, P'', Z_4, A_5, Q'', R'', P_4, S'', T'', U'', V'') → poly2'', o_4, v'', w'', c'', z'', q_5, r_4, s_4, t_4, u_5, v_5, o'', w_4, z_4, a_6, p''_1, q''_1, r'', p_5, s'', t'', u''
Translate(K_2, u) → B_5
Translate(L_2, u) → C_5
Translate(M_2, u) → D_5
Translate(N_2, u) → E_5
Translate(O_2, u) → F_5
Translate(P_2, u) → G_5
Translate(Q_2, u) → H_5
Translate(R_2, u) → I_5
Translate(S_2, u) → J_5
Polygon(B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5) → poly3'', b_6, c_5, d_5, e_5, f_5, g_5, h_5, i_5, j_5
Translate(T_2, u) → K_5
Translate(U_2, u) → L_5
Translate(V_2, u) → M_5
Translate(W_2, u) → N_5
Translate(Z_2, u) → O_5
Translate(A_3, u) → P_5
Translate(B_3, u) → Q_5
Polygon(K_5, L_5, M_5, N_5, O_5, P_5, Q_5) → poly4'', k_5, l_5, m_5, n_5, o_5, p_6, q_6
Translate(k_1, u) → f_3
Translate(e_3, u) → g_3
Translate(A, u) → A'_7
Translate(E, u) → E'_5
Segment(A'_7, E'_5) → e'_3
Translate(E, u) → E'_6
Translate(F, u) → F'_4
Segment(E'_6, F'_4) → f'_2
Translate(F, u) → F'_5
Translate(G, u) → G'_4
Segment(F'_5, G'_4) → g'_2
Translate(G, u) → G'_5
Translate(H, u) → H'_4
Segment(G'_5, H'_4) → h'_2
Translate(J, u) → J'_4
Translate(B, u) → B'_4
Segment(J'_4, B'_4) → k'_2
Translate(H, u) → H'_5
Translate(J, u) → J'_5
Segment(H'_5, J'_5) → i'_2
Translate(A', u) → A''_2
Translate(E', u) → E''_2
Segment(A''_2, E''_2) → e''_2
Translate(E'_1, u) → R_5
Translate(F', u) → F''_1
Segment(R_5, F''_1) → f''_1
Translate(F'_1, u) → S_5
Translate(G', u) → G''_1
Segment(S_5, G''_1) → g''_1
Translate(G'_1, u) → T_5
Translate(H', u) → H''_1
Segment(T_5, H''_1) → h''_1
Translate(J', u) → J''_1
Translate(B', u) → B''_1
Segment(J''_1, B''_1) → k''_1
Translate(H'_1, u) → U_5
Translate(J'_1, u) → V_5
Segment(U_5, V_5) → i''_1
Translate(D, u) → D'_4
Translate(I, u) → I'_4
Segment(D'_4, I'_4) → j'_2
Translate(I, u) → I'_5
Translate(K, u) → K'_4
Segment(I'_5, K'_4) → l'_2
Translate(K, u) → K'_5
Translate(L, u) → L'_4
Segment(K'_5, L'_4) → m'_2
Translate(L, u) → L'_5
Translate(M, u) → M'_4
Segment(L'_5, M'_4) → n'_2
Translate(M, u) → M'_5
Translate(N, u) → N'_4
Segment(M'_5, N'_4) → p'_4
Translate(N, u) → N'_5
Translate(A, u) → A'_8
Segment(N'_5, A'_8) → q'_4
Translate(D', u) → D''_1
Translate(I', u) → I''_1
Segment(D''_1, I''_1) → j''_1
Translate(I'_1, u) → W_5
Translate(K', u) → K''_1
Segment(W_5, K''_1) → l''_1
Translate(K'_1, u) → Z_5
Translate(L', u) → L''_1
Segment(Z_5, L''_1) → m''_1
Translate(L'_1, u) → A_6
Translate(M', u) → M''_1
Segment(A_6, M''_1) → n''_1
Translate(M'_1, u) → B_6
Translate(N', u) → N''_1
Segment(B_6, N''_1) → p''_2
Translate(N'_1, u) → C_6
Translate(A'_2, u) → D_6
Segment(C_6, D_6) → q''_2
Translate(A'_4, u) → E_6
Translate(E'_3, u) → F_6
Segment(E_6, F_6) → i_1
Translate(E'_4, u) → G_6
Translate(F'_2, u) → H_6
Segment(G_6, H_6) → j_1
Translate(F'_3, u) → I_6
Translate(G'_2, u) → J_6
Segment(I_6, J_6) → h_3
Translate(G'_3, u) → K_6
Translate(H'_2, u) → L_6
Segment(K_6, L_6) → i_3
Translate(J'_2, u) → M_6
Translate(B'_2, u) → N_6
Segment(M_6, N_6) → j_3
Translate(H'_3, u) → O_6
Translate(J'_3, u) → P_6
Segment(O_6, P_6) → l_3
Translate(A''_1, u) → Q_6
Translate(E''_1, u) → R_6
Segment(Q_6, R_6) → m_3
Translate(C_3, u) → S_6
Translate(F'', u) → F'''
Segment(S_6, F''') → f'''
Translate(D_3, u) → T_6
Translate(G'', u) → G'''
Segment(T_6, G''') → g'''
Translate(E_3, u) → U_6
Translate(H'', u) → H'''
Segment(U_6, H''') → h'''
Translate(J'', u) → J'''
Translate(B'', u) → B'''
Segment(J''', B''') → k'''
Translate(F_3, u) → V_6
Translate(G_3, u) → W_6
Segment(V_6, W_6) → i'''
Translate(D'_2, u) → Z_6
Translate(I'_2, u) → A_7
Segment(Z_6, A_7) → n_3
Translate(I'_3, u) → B_7
Translate(K'_2, u) → C_7
Segment(B_7, C_7) → r_5
Translate(K'_3, u) → D_7
Translate(L'_2, u) → E_7
Segment(D_7, E_7) → s_5
Translate(L'_3, u) → F_7
Translate(M'_2, u) → G_7
Segment(F_7, G_7) → t_5
Translate(M'_3, u) → H_7
Translate(N'_2, u) → I_7
Segment(H_7, I_7) → c_6
Translate(N'_3, u) → J_7
Translate(A'_5, u) → K_7
Segment(J_7, K_7) → d_6
Translate(D'', u) → D'''
Translate(I'', u) → I'''
Segment(D''', I''') → j'''
Translate(H_3, u) → L_7
Translate(K'', u) → K'''
Segment(L_7, K''') → l'''
Translate(I_3, u) → M_7
Translate(L'', u) → L'''
Segment(M_7, L''') → m'''
Translate(J_3, u) → N_7
Translate(M'', u) → M'''
Segment(N_7, M''') → n'''
Translate(K_3, u) → O_7
Translate(N'', u) → N'''
Segment(O_7, N''') → p'''
Translate(L_3, u) → P_7
Translate(M_3, u) → Q_7
Segment(P_7, Q_7) → q'''
Vector(D'_3, A) → w_5
Translate(A, w_5) → A'_9
Translate(O, w_5) → O'_2
Translate(P, w_5) → P'_2
Translate(Q, w_5) → Q'_2
Translate(R, w_5) → R'_2
Translate(B, w_5) → B'_5
Translate(S, w_5) → S'_2
Translate(T, w_5) → T'_2
Translate(U, w_5) → U'_2
Translate(V, w_5) → V'_2
Translate(W, w_5) → W'_2
Translate(C, w_5) → C'_2
Translate(Z, w_5) → Z'_2
Translate(A_1, w_5) → R_7
Translate(B_1, w_5) → S_7
Translate(C_1, w_5) → T_7
Translate(D, w_5) → D'_5
Translate(D_1, w_5) → U_7
Translate(E_1, w_5) → V_7
Translate(F_1, w_5) → W_7
Translate(G_1, w_5) → Z_7
Translate(H_1, w_5) → A_8
Polygon(A'_9, O'_2, W'_2, C'_2, Z'_2, R_7, S_7, T_7, D'_5, U_7, V_7, W_7, P'_2, Z_7, A_8, Q'_2, R'_2, B'_5, S'_2, T'_2, U'_2, V'_2) → poly2'_2, a'_9, v'_2, w'_2, c'_2, z'_2, r_7, s_7, t_7, d'_5, u_7, v_7, o'_2, w_7, z_7, a_8, p'_5, q'_5, r'_2, b'_5, s'_2, t'_2, u'_2
Translate(K_1, w_5) → B_8
Translate(L_1, w_5) → C_8
Translate(M_1, w_5) → D_8
Translate(N_1, w_5) → E_8
Translate(O_1, w_5) → F_8
Translate(P_1, w_5) → G_8
Translate(Q_1, w_5) → H_8
Translate(R_1, w_5) → I_8
Translate(S_1, w_5) → J_8
Polygon(B_8, C_8, D_8, E_8, F_8, G_8, H_8, I_8, J_8) → poly3'_2, b_8, c_8, d_8, e_8, f_8, g_8, h_8, i_8, j_8
Translate(T_1, w_5) → K_8
Translate(U_1, w_5) → L_8
Translate(V_1, w_5) → M_8
Translate(W_1, w_5) → N_8
Translate(Z_1, w_5) → O_8
Translate(A_2, w_5) → P_8
Translate(B_2, w_5) → Q_8
Polygon(K_8, L_8, M_8, N_8, O_8, P_8, Q_8) → poly4'_2, k_8, l_8, m_8, n_8, o_8, p_8, q_8
Translate(A'_3, w_5) → R_8
Translate(O', w_5) → O''_1
Translate(P', w_5) → P''_1
Translate(Q', w_5) → Q''_1
Translate(R', w_5) → R''_1
Translate(B'_1, w_5) → S_8
Translate(S', w_5) → S''_1
Translate(T', w_5) → T''_1
Translate(U', w_5) → U''_1
Translate(V', w_5) → V''_1
Translate(W', w_5) → W''_1
Translate(C', w_5) → C''_1
Translate(Z', w_5) → Z''_1
Translate(C_2, w_5) → T_8
Translate(D_2, w_5) → U_8
Translate(E_2, w_5) → V_8
Translate(D'_1, w_5) → W_8
Translate(F_2, w_5) → Z_8
Translate(G_2, w_5) → A_9
Translate(H_2, w_5) → B_9
Translate(I_2, w_5) → C_9
Translate(J_2, w_5) → D_9
Polygon(R_8, O''_1, W''_1, C''_1, Z''_1, T_8, U_8, V_8, W_8, Z_8, A_9, B_9, P''_1, C_9, D_9, Q''_1, R''_1, S_8, S''_1, T''_1, U''_1, V''_1) → poly2''_1, r_8, v''_1, w''_1, c''_1, z''_1, t_8, u_8, v_8, w_8, z_8, a_9, o''_1, b_9, c_9, d_9, p''_3, q''_3, r''_1, s_8, s''_1, t''_1, u''_1
Translate(K_2, w_5) → E_9
Translate(L_2, w_5) → F_9
Translate(M_2, w_5) → G_9
Translate(N_2, w_5) → H_9
Translate(O_2, w_5) → I_9
Translate(P_2, w_5) → J_9
Translate(Q_2, w_5) → K_9
Translate(R_2, w_5) → L_9
Translate(S_2, w_5) → M_9
Polygon(E_9, F_9, G_9, H_9, I_9, J_9, K_9, L_9, M_9) → poly3''_1, e_9, f_9, g_9, h_9, i_9, j_9, k_9, l_9, m_9
Translate(T_2, w_5) → N_9
Translate(U_2, w_5) → O_9
Translate(V_2, w_5) → P_9
Translate(W_2, w_5) → Q_9
Translate(Z_2, w_5) → R_9
Translate(A_3, w_5) → S_9
Translate(B_3, w_5) → T_9
Polygon(N_9, O_9, P_9, Q_9, R_9, S_9, T_9) → poly4''_1, n_9, o_9, p_9, q_9, r_9, s_9, t_9
Translate(A'_6, w_5) → U_9
Translate(O'_1, w_5) → V_9
Translate(P'_1, w_5) → W_9
Translate(Q'_1, w_5) → Z_9
Translate(R'_1, w_5) → A_{10}
Translate(B'_3, w_5) → B_{10}
Translate(S'_1, w_5) → C_{10}
Translate(T'_1, w_5) → D_{10}
Translate(U'_1, w_5) → E_{10}
Translate(V'_1, w_5) → F_{10}
Translate(W'_1, w_5) → G_{10}
Translate(C'_1, w_5) → H_{10}
Translate(Z'_1, w_5) → I_{10}
Translate(O_3, w_5) → J_{10}
Translate(P_3, w_5) → K_{10}
Translate(Q_3, w_5) → L_{10}
Translate(D'_3, w_5) → M_{10}
Translate(R_3, w_5) → N_{10}
Translate(S_3, w_5) → O_{10}
Translate(T_3, w_5) → P_{10}
Translate(U_3, w_5) → Q_{10}
Translate(V_3, w_5) → R_{10}
Polygon(U_9, V_9, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, W_9, Q_{10}, R_{10}, Z_9, A_{10}, B_{10}, C_{10}, D_{10}, E_{10}, F_{10}) → poly5, u_9, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}, o_{10}, v_9, p_{10}, q_{10}, r_{10}, w_9, z_9, a_{10}, b_{10}, c_{10}, d_{10}, e_{10}
Translate(W_3, w_5) → S_{10}
Translate(Z_3, w_5) → T_{10}
Translate(A_4, w_5) → U_{10}
Translate(B_4, w_5) → V_{10}
Translate(C_4, w_5) → W_{10}
Translate(D_4, w_5) → Z_{10}
Translate(E_4, w_5) → A_{11}
Translate(F_4, w_5) → B_{11}
Translate(G_4, w_5) → C_{11}
Polygon(S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}) → poly6, s_{10}, t_{10}, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}, c_{11}
Translate(H_4, w_5) → D_{11}
Translate(I_4, w_5) → E_{11}
Translate(J_4, w_5) → F_{11}
Translate(K_4, w_5) → G_{11}
Translate(L_4, w_5) → H_{11}
Translate(M_4, w_5) → I_{11}
Translate(N_4, w_5) → J_{11}
Polygon(D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}) → poly7, d_{11}, e_{11}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}
Translate(O_4, w_5) → K_{11}
Translate(O'', w_5) → O'''
Translate(P'', w_5) → P'''
Translate(Q'', w_5) → Q'''
Translate(R'', w_5) → R'''
Translate(P_4, w_5) → L_{11}
Translate(S'', w_5) → S'''
Translate(T'', w_5) → T'''
Translate(U'', w_5) → U'''
Translate(V'', w_5) → V'''
Translate(W'', w_5) → W'''
Translate(C'', w_5) → C'''
Translate(Z'', w_5) → Z'''
Translate(Q_4, w_5) → M_{11}
Translate(R_4, w_5) → N_{11}
Translate(S_4, w_5) → O_{11}
Translate(T_4, w_5) → P_{11}
Translate(U_4, w_5) → Q_{11}
Translate(V_4, w_5) → R_{11}
Translate(W_4, w_5) → S_{11}
Translate(Z_4, w_5) → T_{11}
Translate(A_5, w_5) → U_{11}
Polygon(K_{11}, O''', W''', C''', Z''', M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, P''', T_{11}, U_{11}, Q''', R''', L_{11}, S''', T''', U''', V''') → poly2''', k_{11}, v''', w''', c''', z''', m_{11}, n_{11}, o_{11}, p_{11}, q_{11}, r_{11}, o''', s_{11}, t_{11}, u_{11}, p'''_1, q'''_1, r''', l_{11}, s''', t''', u'''
Translate(B_5, w_5) → V_{11}
Translate(C_5, w_5) → W_{11}
Translate(D_5, w_5) → Z_{11}
Translate(E_5, w_5) → A_{12}
Translate(F_5, w_5) → B_{12}
Translate(G_5, w_5) → C_{12}
Translate(H_5, w_5) → D_{12}
Translate(I_5, w_5) → E_{12}
Translate(J_5, w_5) → F_{12}
Polygon(V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}) → poly3''', v_{11}, w_{11}, z_{11}, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}
Translate(K_5, w_5) → G_{12}
Translate(L_5, w_5) → H_{12}
Translate(M_5, w_5) → I_{12}
Translate(N_5, w_5) → J_{12}
Translate(O_5, w_5) → K_{12}
Translate(P_5, w_5) → L_{12}
Translate(Q_5, w_5) → M_{12}
Polygon(G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}) → poly4''', g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}
Translate(k_1, w_5) → e_6
Translate(e_3, w_5) → f_6
Translate(f_3, w_5) → g_6
Translate(g_3, w_5) → h_6
Translate(A, w_5) → A'_{10}
Translate(E, w_5) → E'_7
Segment(A'_{10}, E'_7) → e'_4
Translate(E, w_5) → E'_8
Translate(F, w_5) → F'_6
Segment(E'_8, F'_6) → f'_3
Translate(F, w_5) → F'_7
Translate(G, w_5) → G'_6
Segment(F'_7, G'_6) → g'_3
Translate(G, w_5) → G'_7
Translate(H, w_5) → H'_6
Segment(G'_7, H'_6) → h'_3
Translate(J, w_5) → J'_6
Translate(B, w_5) → B'_6
Segment(J'_6, B'_6) → k'_3
Translate(H, w_5) → H'_7
Translate(J, w_5) → J'_7
Segment(H'_7, J'_7) → i'_3
Translate(A', w_5) → A''_3
Translate(E', w_5) → E''_3
Segment(A''_3, E''_3) → e''_3
Translate(E'_1, w_5) → N_{12}
Translate(F', w_5) → F''_2
Segment(N_{12}, F''_2) → f''_2
Translate(F'_1, w_5) → O_{12}
Translate(G', w_5) → G''_2
Segment(O_{12}, G''_2) → g''_2
Translate(G'_1, w_5) → P_{12}
Translate(H', w_5) → H''_2
Segment(P_{12}, H''_2) → h''_2
Translate(J', w_5) → J''_2
Translate(B', w_5) → B''_2
Segment(J''_2, B''_2) → k''_2
Translate(H'_1, w_5) → Q_{12}
Translate(J'_1, w_5) → R_{12}
Segment(Q_{12}, R_{12}) → i''_2
Translate(D, w_5) → D'_6
Translate(I, w_5) → I'_6
Segment(D'_6, I'_6) → j'_3
Translate(I, w_5) → I'_7
Translate(K, w_5) → K'_6
Segment(I'_7, K'_6) → l'_3
Translate(K, w_5) → K'_7
Translate(L, w_5) → L'_6
Segment(K'_7, L'_6) → m'_3
Translate(L, w_5) → L'_7
Translate(M, w_5) → M'_6
Segment(L'_7, M'_6) → n'_3
Translate(M, w_5) → M'_7
Translate(N, w_5) → N'_6
Segment(M'_7, N'_6) → p'_6
Translate(N, w_5) → N'_7
Translate(A, w_5) → A'_{11}
Segment(N'_7, A'_{11}) → q'_6
Translate(D', w_5) → D''_2
Translate(I', w_5) → I''_2
Segment(D''_2, I''_2) → j''_2
Translate(I'_1, w_5) → S_{12}
Translate(K', w_5) → K''_2
Segment(S_{12}, K''_2) → l''_2
Translate(K'_1, w_5) → T_{12}
Translate(L', w_5) → L''_2
Segment(T_{12}, L''_2) → m''_2
Translate(L'_1, w_5) → U_{12}
Translate(M', w_5) → M''_2
Segment(U_{12}, M''_2) → n''_2
Translate(M'_1, w_5) → V_{12}
Translate(N', w_5) → N''_2
Segment(V_{12}, N''_2) → p''_4
Translate(N'_1, w_5) → W_{12}
Translate(A'_2, w_5) → Z_{12}
Segment(W_{12}, Z_{12}) → q''_4
Translate(A'_4, w_5) → A_{13}
Translate(E'_3, w_5) → B_{13}
Segment(A_{13}, B_{13}) → i_6
Translate(E'_4, w_5) → C_{13}
Translate(F'_2, w_5) → D_{13}
Segment(C_{13}, D_{13}) → j_6
Translate(F'_3, w_5) → E_{13}
Translate(G'_2, w_5) → F_{13}
Segment(E_{13}, F_{13}) → k_6
Translate(G'_3, w_5) → G_{13}
Translate(H'_2, w_5) → H_{13}
Segment(G_{13}, H_{13}) → l_6
Translate(J'_2, w_5) → I_{13}
Translate(B'_2, w_5) → J_{13}
Segment(I_{13}, J_{13}) → m_6
Translate(H'_3, w_5) → K_{13}
Translate(J'_3, w_5) → L_{13}
Segment(K_{13}, L_{13}) → n_6
Translate(A''_1, w_5) → M_{13}
Translate(E''_1, w_5) → N_{13}
Segment(M_{13}, N_{13}) → r_6
Translate(C_3, w_5) → O_{13}
Translate(F'', w_5) → F'''_1
Segment(O_{13}, F'''_1) → f'''_1
Translate(D_3, w_5) → P_{13}
Translate(G'', w_5) → G'''_1
Segment(P_{13}, G'''_1) → g'''_1
Translate(E_3, w_5) → Q_{13}
Translate(H'', w_5) → H'''_1
Segment(Q_{13}, H'''_1) → h'''_1
Translate(J'', w_5) → J'''_1
Translate(B'', w_5) → B'''_1
Segment(J'''_1, B'''_1) → k'''_1
Translate(F_3, w_5) → R_{13}
Translate(G_3, w_5) → S_{13}
Segment(R_{13}, S_{13}) → i'''_1
Translate(D'_2, w_5) → T_{13}
Translate(I'_2, w_5) → U_{13}
Segment(T_{13}, U_{13}) → s_6
Translate(I'_3, w_5) → V_{13}
Translate(K'_2, w_5) → W_{13}
Segment(V_{13}, W_{13}) → t_6
Translate(K'_3, w_5) → Z_{13}
Translate(L'_2, w_5) → A_{14}
Segment(Z_{13}, A_{14}) → a_7
Translate(L'_3, w_5) → B_{14}
Translate(M'_2, w_5) → C_{14}
Segment(B_{14}, C_{14}) → b_7
Translate(M'_3, w_5) → D_{14}
Translate(N'_2, w_5) → E_{14}
Segment(D_{14}, E_{14}) → c_7
Translate(N'_3, w_5) → F_{14}
Translate(A'_5, w_5) → G_{14}
Segment(F_{14}, G_{14}) → d_7
Translate(D'', w_5) → D'''_1
Translate(I'', w_5) → I'''_1
Segment(D'''_1, I'''_1) → j'''_1
Translate(H_3, w_5) → H_{14}
Translate(K'', w_5) → K'''_1
Segment(H_{14}, K'''_1) → l'''_1
Translate(I_3, w_5) → I_{14}
Translate(L'', w_5) → L'''_1
Segment(I_{14}, L'''_1) → m'''_1
Translate(J_3, w_5) → J_{14}
Translate(M'', w_5) → M'''_1
Segment(J_{14}, M'''_1) → n'''_1
Translate(K_3, w_5) → K_{14}
Translate(N'', w_5) → N'''_1
Segment(K_{14}, N'''_1) → p'''_2
Translate(L_3, w_5) → L_{14}
Translate(M_3, w_5) → M_{14}
Segment(L_{14}, M_{14}) → q'''_2
Translate(A'_7, w_5) → N_{14}
Translate(E'_5, w_5) → O_{14}
Segment(N_{14}, O_{14}) → e_7
Translate(E'_6, w_5) → P_{14}
Translate(F'_4, w_5) → Q_{14}
Segment(P_{14}, Q_{14}) → f_7
Translate(F'_5, w_5) → R_{14}
Translate(G'_4, w_5) → S_{14}
Segment(R_{14}, S_{14}) → g_7
Translate(G'_5, w_5) → T_{14}
Translate(H'_4, w_5) → U_{14}
Segment(T_{14}, U_{14}) → h_7
Translate(J'_4, w_5) → V_{14}
Translate(B'_4, w_5) → W_{14}
Segment(V_{14}, W_{14}) → i_7
Translate(H'_5, w_5) → Z_{14}
Translate(J'_5, w_5) → A_{15}
Segment(Z_{14}, A_{15}) → j_7
Translate(A''_2, w_5) → B_{15}
Translate(E''_2, w_5) → C_{15}
Segment(B_{15}, C_{15}) → k_7
Translate(R_5, w_5) → D_{15}
Translate(F''_1, w_5) → E_{15}
Segment(D_{15}, E_{15}) → l_7
Translate(S_5, w_5) → F_{15}
Translate(G''_1, w_5) → G_{15}
Segment(F_{15}, G_{15}) → m_7
Translate(T_5, w_5) → H_{15}
Translate(H''_1, w_5) → I_{15}
Segment(H_{15}, I_{15}) → n_7
Translate(J''_1, w_5) → J_{15}
Translate(B''_1, w_5) → K_{15}
Segment(J_{15}, K_{15}) → p_7
Translate(U_5, w_5) → L_{15}
Translate(V_5, w_5) → M_{15}
Segment(L_{15}, M_{15}) → q_7
Translate(D'_4, w_5) → N_{15}
Translate(I'_4, w_5) → O_{15}
Segment(N_{15}, O_{15}) → n_{12}
Translate(I'_5, w_5) → P_{15}
Translate(K'_4, w_5) → Q_{15}
Segment(P_{15}, Q_{15}) → p_{12}
Translate(K'_5, w_5) → R_{15}
Translate(L'_4, w_5) → S_{15}
Segment(R_{15}, S_{15}) → q_{12}
Translate(L'_5, w_5) → T_{15}
Translate(M'_4, w_5) → U_{15}
Segment(T_{15}, U_{15}) → r_{12}
Translate(M'_5, w_5) → V_{15}
Translate(N'_4, w_5) → W_{15}
Segment(V_{15}, W_{15}) → s_{12}
Translate(N'_5, w_5) → Z_{15}
Translate(A'_8, w_5) → A_{16}
Segment(Z_{15}, A_{16}) → t_{12}
Translate(D''_1, w_5) → B_{16}
Translate(I''_1, w_5) → C_{16}
Segment(B_{16}, C_{16}) → a_{13}
Translate(W_5, w_5) → D_{16}
Translate(K''_1, w_5) → E_{16}
Segment(D_{16}, E_{16}) → b_{13}
Translate(Z_5, w_5) → F_{16}
Translate(L''_1, w_5) → G_{16}
Segment(F_{16}, G_{16}) → c_{13}
Translate(A_6, w_5) → H_{16}
Translate(M''_1, w_5) → I_{16}
Segment(H_{16}, I_{16}) → d_{13}
Translate(B_6, w_5) → J_{16}
Translate(N''_1, w_5) → K_{16}
Segment(J_{16}, K_{16}) → e_{13}
Translate(C_6, w_5) → L_{16}
Translate(D_6, w_5) → M_{16}
Segment(L_{16}, M_{16}) → f_{13}
Translate(E_6, w_5) → N_{16}
Translate(F_6, w_5) → O_{16}
Segment(N_{16}, O_{16}) → g_{13}
Translate(G_6, w_5) → P_{16}
Translate(H_6, w_5) → Q_{16}
Segment(P_{16}, Q_{16}) → h_{13}
Translate(I_6, w_5) → R_{16}
Translate(J_6, w_5) → S_{16}
Segment(R_{16}, S_{16}) → i_{13}
Translate(K_6, w_5) → T_{16}
Translate(L_6, w_5) → U_{16}
Segment(T_{16}, U_{16}) → j_{13}
Translate(M_6, w_5) → V_{16}
Translate(N_6, w_5) → W_{16}
Segment(V_{16}, W_{16}) → k_{13}
Translate(O_6, w_5) → Z_{16}
Translate(P_6, w_5) → A_{17}
Segment(Z_{16}, A_{17}) → l_{13}
Translate(Q_6, w_5) → B_{17}
Translate(R_6, w_5) → C_{17}
Segment(B_{17}, C_{17}) → m_{13}
Translate(S_6, w_5) → D_{17}
Translate(F''', w_5) → E_{17}
Segment(D_{17}, E_{17}) → n_{13}
Translate(T_6, w_5) → F_{17}
Translate(G''', w_5) → G_{17}
Segment(F_{17}, G_{17}) → p_{13}
Translate(U_6, w_5) → H_{17}
Translate(H''', w_5) → I_{17}
Segment(H_{17}, I_{17}) → q_{13}
Translate(J''', w_5) → J_{17}
Translate(B''', w_5) → K_{17}
Segment(J_{17}, K_{17}) → r_{13}
Translate(V_6, w_5) → L_{17}
Translate(W_6, w_5) → M_{17}
Segment(L_{17}, M_{17}) → s_{13}
Translate(Z_6, w_5) → N_{17}
Translate(A_7, w_5) → O_{17}
Segment(N_{17}, O_{17}) → t_{13}
Translate(B_7, w_5) → P_{17}
Translate(C_7, w_5) → Q_{17}
Segment(P_{17}, Q_{17}) → a_{14}
Translate(D_7, w_5) → R_{17}
Translate(E_7, w_5) → S_{17}
Segment(R_{17}, S_{17}) → b_{14}
Translate(F_7, w_5) → T_{17}
Translate(G_7, w_5) → U_{17}
Segment(T_{17}, U_{17}) → c_{14}
Translate(H_7, w_5) → V_{17}
Translate(I_7, w_5) → W_{17}
Segment(V_{17}, W_{17}) → d_{14}
Translate(J_7, w_5) → Z_{17}
Translate(K_7, w_5) → A_{18}
Segment(Z_{17}, A_{18}) → e_{14}
Translate(D''', w_5) → B_{18}
Translate(I''', w_5) → C_{18}
Segment(B_{18}, C_{18}) → f_{14}
Translate(L_7, w_5) → D_{18}
Translate(K''', w_5) → E_{18}
Segment(D_{18}, E_{18}) → g_{14}
Translate(M_7, w_5) → F_{18}
Translate(L''', w_5) → G_{18}
Segment(F_{18}, G_{18}) → h_{14}
Translate(N_7, w_5) → H_{18}
Translate(M''', w_5) → I_{18}
Segment(H_{18}, I_{18}) → i_{14}
Translate(O_7, w_5) → J_{18}
Translate(N''', w_5) → K_{18}
Segment(J_{18}, K_{18}) → j_{14}
Translate(P_7, w_5) → L_{18}
Translate(Q_7, w_5) → M_{18}
Segment(L_{18}, M_{18}) → k_{14}

AI Drawing Prompt Reference

Draw a tessellation pattern using translated quadrilaterals and vectors. Start by creating a quadrilateral, then use a vector to translate it repeatedly, generating multiple translated copies that connect seamlessly to form a continuous pattern. Ensure consistent translation direction and distance for symmetry and continuity.

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