4.22 p4g Alhambra Hueso

Loading the math board and drawing, please wait…

2023-03-22 23:14

In collections geometriadinamica.es

This example demonstrates the geometric construction of 4.22 p4g Alhambra Hueso. Key mathematical concepts include vectors, geometric construction, and derivatives. Using commands like Polygon, Segment, Midpoint, Line, etc., a series of geometric objects are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

Polygon(A, B, 4) → poly1, b, d, e, z, W, Z
Segment(Z, B) → f
Segment(A, W) → g
Midpoint(Z, W) → A_1
Midpoint(W, A_1) → B_1
Midpoint(A_1, Z) → C_1
Line(B_1, d) → h
Line(C_1, h) → i
Intersect(f, i) → D_1
Intersect(g, i) → E_1
Intersect(f, h) → F_1
Intersect(g, h) → G_1
Mirror(D_1, z) → H_1
Mirror(E_1, z) → I_1
Mirror(F_1, d) → J_1
Mirror(G_1, d) → K_1
Polygon(D_1, Z, W, G_1, H_1, I_1, A, E_1, F_1, B, J_1, K_1) → poly2, d_1, k_1, w_1, g_1, z_1, h_1, i_1, a_1, e_1, f_1, b_1, j_1
Intersect(f, g) → L_1
Vector(A, W) → j
Vector(B, Z) → k
Translate(D_1, j) → M_1
Translate(Z, j) → Z'
Translate(H_1, j) → N_1
Translate(I_1, j) → O_1
Translate(A, j) → A'
Translate(E_1, j) → P_1
Translate(F_1, j) → Q_1
Translate(B, j) → B'
Translate(J_1, j) → R_1
Translate(K_1, j) → S_1
Translate(W, j) → W'
Translate(G_1, j) → T_1
Polygon(M_1, Z', W', T_1, N_1, O_1, A', P_1, Q_1, B', R_1, S_1) → poly2', m_1, s_1, w', t_1, z', n_1, o_1, a', p_1, q_1, b', r_1
Vector(Z', B') → l
Vector(W', W) → m
Translate(M_1, j) → U_1
Translate(Z', j) → Z''
Translate(N_1, j) → V_1
Translate(O_1, j) → W_1
Translate(A', j) → A''
Translate(P_1, j) → Z_1
Translate(Q_1, j) → A_2
Translate(B', j) → B''
Translate(R_1, j) → B_2
Translate(S_1, j) → C_2
Translate(W', j) → W''
Translate(T_1, j) → D_2
Polygon(U_1, Z'', W'', D_2, V_1, W_1, A'', Z_1, A_2, B'', B_2, C_2) → poly2'', u_1, c_2, w'', d_2, z'', v_1, w_2, a'', z_2, a_2, b'', b_2
Translate(M_1, k) → E_2
Translate(Z', k) → Z''_1
Translate(N_1, k) → F_2
Translate(O_1, k) → G_2
Translate(A', k) → A''_1
Translate(P_1, k) → H_2
Translate(Q_1, k) → I_2
Translate(B', k) → B''_1
Translate(R_1, k) → J_2
Translate(S_1, k) → K_2
Translate(W', k) → W''_1
Translate(T_1, k) → L_2
Polygon(E_2, Z''_1, W''_1, L_2, F_2, G_2, A''_1, H_2, I_2, B''_1, J_2, K_2) → poly2''_1, e_2, k_2, w''_1, l_2, z''_1, f_2, g_2, a''_1, h_2, i_2, b''_1, j_2
Translate(M_1, l) → M_2
Translate(Z', l) → Z''_2
Translate(N_1, l) → N_2
Translate(O_1, l) → O_2
Translate(A', l) → A''_2
Translate(P_1, l) → P_2
Translate(Q_1, l) → Q_2
Translate(B', l) → B''_2
Translate(R_1, l) → R_2
Translate(S_1, l) → S_2
Translate(W', l) → W''_2
Translate(T_1, l) → T_2
Polygon(M_2, Z''_2, W''_2, T_2, N_2, O_2, A''_2, P_2, Q_2, B''_2, R_2, S_2) → poly2''_2, m_2, s_2, w''_2, t_2, z''_2, n_2, o_2, a''_2, p_2, q_2, b''_2, r_2
Translate(M_2, j) → U_2
Translate(Z''_2, j) → V_2
Translate(N_2, j) → W_2
Translate(O_2, j) → Z_2
Translate(A''_2, j) → A_3
Translate(P_2, j) → B_3
Translate(Q_2, j) → C_3
Translate(B''_2, j) → D_3
Translate(R_2, j) → E_3
Translate(S_2, j) → F_3
Translate(W''_2, j) → G_3
Translate(T_2, j) → H_3
Polygon(U_2, V_2, G_3, H_3, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3) → poly3, u_2, f_3, g_3, h_3, v_2, w_3, z_3, a_3, b_3, c_3, d_3, e_3
Translate(U_2, j) → I_3
Translate(V_2, j) → J_3
Translate(W_2, j) → K_3
Translate(Z_2, j) → L_3
Translate(A_3, j) → M_3
Translate(B_3, j) → N_3
Translate(C_3, j) → O_3
Translate(D_3, j) → P_3
Translate(E_3, j) → Q_3
Translate(F_3, j) → R_3
Translate(G_3, j) → S_3
Translate(H_3, j) → T_3
Polygon(I_3, J_3, S_3, T_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3) → poly3', i_3, r_3, s_3, t_3, j_3, k_3, l_3, m_3, n_3, o_3, p_3, q_3
Translate(U_2, l) → U_3
Translate(V_2, l) → V_3
Translate(W_2, l) → W_3
Translate(Z_2, l) → Z_3
Translate(A_3, l) → A_4
Translate(B_3, l) → B_4
Translate(C_3, l) → C_4
Translate(D_3, l) → D_4
Translate(E_3, l) → E_4
Translate(F_3, l) → F_4
Translate(G_3, l) → G_4
Translate(H_3, l) → H_4
Polygon(U_3, V_3, G_4, H_4, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4) → poly3'_1, u_3, f_4, g_4, h_4, v_3, w_4, z_4, a_4, b_4, c_4, d_4, e_4
Translate(E_2, j) → I_4
Translate(Z''_1, j) → J_4
Translate(F_2, j) → K_4
Translate(G_2, j) → L_4
Translate(A''_1, j) → M_4
Translate(H_2, j) → N_4
Translate(I_2, j) → O_4
Translate(B''_1, j) → P_4
Translate(J_2, j) → Q_4
Translate(K_2, j) → R_4
Translate(W''_1, j) → S_4
Translate(L_2, j) → T_4
Polygon(I_4, J_4, S_4, T_4, K_4, L_4, M_4, N_4, O_4, P_4, Q_4, R_4) → poly4, i_4, r_4, s_4, t_4, j_4, k_4, l_4, m_4, n_4, o_4, p_4, q_4
Translate(U_1, j) → U_4
Translate(Z'', j) → Z'''
Translate(V_1, j) → V_4
Translate(W_1, j) → W_4
Translate(A'', j) → A'''
Translate(Z_1, j) → Z_4
Translate(A_2, j) → A_5
Translate(B'', j) → B'''
Translate(B_2, j) → B_5
Translate(C_2, j) → C_5
Translate(W'', j) → W'''
Translate(D_2, j) → D_5
Polygon(U_4, Z''', W''', D_5, V_4, W_4, A''', Z_4, A_5, B''', B_5, C_5) → poly2''', u_4, c_5, w''', d_5, z''', v_4, w_5, a''', z_5, a_5, b''', b_5
Translate(U_4, j) → E_5
Translate(Z''', j) → F_5
Translate(V_4, j) → G_5
Translate(W_4, j) → H_5
Translate(A''', j) → I_5
Translate(Z_4, j) → J_5
Translate(A_5, j) → K_5
Translate(B''', j) → L_5
Translate(B_5, j) → M_5
Translate(C_5, j) → N_5
Translate(W''', j) → O_5
Translate(D_5, j) → P_5
Polygon(E_5, F_5, O_5, P_5, G_5, H_5, I_5, J_5, K_5, L_5, M_5, N_5) → poly5, e_5, n_5, o_5, p_5, f_5, g_5, h_5, i_5, j_5, k_5, l_5, m_5
Translate(U_4, k) → Q_5
Translate(Z''', k) → R_5
Translate(V_4, k) → S_5
Translate(W_4, k) → T_5
Translate(A''', k) → U_5
Translate(Z_4, k) → V_5
Translate(A_5, k) → W_5
Translate(B''', k) → Z_5
Translate(B_5, k) → A_6
Translate(C_5, k) → B_6
Translate(W''', k) → C_6
Translate(D_5, k) → D_6
Polygon(Q_5, R_5, C_6, D_6, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6) → poly6, q_5, b_6, c_6, d_6, r_5, s_5, t_5, u_5, v_5, w_6, z_6, a_6
Translate(E_5, k) → E_6
Translate(F_5, k) → F_6
Translate(G_5, k) → G_6
Translate(H_5, k) → H_6
Translate(I_5, k) → I_6
Translate(J_5, k) → J_6
Translate(K_5, k) → K_6
Translate(L_5, k) → L_6
Translate(M_5, k) → M_6
Translate(N_5, k) → N_6
Translate(O_5, k) → O_6
Translate(P_5, k) → P_6
Polygon(E_6, F_6, O_6, P_6, G_6, H_6, I_6, J_6, K_6, L_6, M_6, N_6) → poly5', e_6, n_6, o_6, p_6, f_6, g_6, h_6, i_6, j_6, k_6, l_6, m_6
Translate(Q_5, k) → Q_6
Translate(R_5, k) → R_6
Translate(S_5, k) → S_6
Translate(T_5, k) → T_6
Translate(U_5, k) → U_6
Translate(V_5, k) → V_6
Translate(W_5, k) → W_6
Translate(Z_5, k) → Z_6
Translate(A_6, k) → A_7
Translate(B_6, k) → B_7
Translate(C_6, k) → C_7
Translate(D_6, k) → D_7
Polygon(Q_6, R_6, C_7, D_7, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7) → poly6', q_6, b_7, c_7, d_7, r_6, s_6, t_6, u_6, v_6, w_7, z_7, a_7
Translate(I_4, k) → E_7
Translate(J_4, k) → F_7
Translate(K_4, k) → G_7
Translate(L_4, k) → H_7
Translate(M_4, k) → I_7
Translate(N_4, k) → J_7
Translate(O_4, k) → K_7
Translate(P_4, k) → L_7
Translate(Q_4, k) → M_7
Translate(R_4, k) → N_7
Translate(S_4, k) → O_7
Translate(T_4, k) → P_7
Polygon(E_7, F_7, O_7, P_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, N_7) → poly4', e_7, n_7, o_7, p_7, f_7, g_7, h_7, i_7, j_7, k_7, l_7, m_7
Translate(Q_6, k) → Q_7
Translate(R_6, k) → R_7
Translate(S_6, k) → S_7
Translate(T_6, k) → T_7
Translate(U_6, k) → U_7
Translate(V_6, k) → V_7
Translate(W_6, k) → W_7
Translate(Z_6, k) → Z_7
Translate(A_7, k) → A_8
Translate(B_7, k) → B_8
Translate(C_7, k) → C_8
Translate(D_7, k) → D_8
Polygon(Q_7, R_7, C_8, D_8, S_7, T_7, U_7, V_7, W_7, Z_7, A_8, B_8) → poly6'', q_7, b_8, c_8, d_8, r_7, s_7, t_7, u_7, v_7, w_8, z_8, a_8
Translate(Q_6, j) → E_8
Translate(R_6, j) → F_8
Translate(S_6, j) → G_8
Translate(T_6, j) → H_8
Translate(U_6, j) → I_8
Translate(V_6, j) → J_8
Translate(W_6, j) → K_8
Translate(Z_6, j) → L_8
Translate(A_7, j) → M_8
Translate(B_7, j) → N_8
Translate(C_7, j) → O_8
Translate(D_7, j) → P_8
Polygon(E_8, F_8, O_8, P_8, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8) → poly6''_1, e_8, n_8, o_8, p_8, f_8, g_8, h_8, i_8, j_8, k_8, l_8, m_8
Translate(E_6, j) → Q_8
Translate(F_6, j) → R_8
Translate(G_6, j) → S_8
Translate(H_6, j) → T_8
Translate(I_6, j) → U_8
Translate(J_6, j) → V_8
Translate(K_6, j) → W_8
Translate(L_6, j) → Z_8
Translate(M_6, j) → A_9
Translate(N_6, j) → B_9
Translate(O_6, j) → C_9
Translate(P_6, j) → D_9
Polygon(Q_8, R_8, C_9, D_9, S_8, T_8, U_8, V_8, W_8, Z_8, A_9, B_9) → poly5'', q_8, b_9, c_9, d_9, r_8, s_8, t_8, u_8, v_8, w_9, z_9, a_9
Midpoint(C_6, S_4) → E_9
Midpoint(S_4, U_6) → F_9
Line(F_9, E_9) → n
Line(U_6, C_6) → p
Line(U_6, J_4) → q
Line(F_9, q) → r
Mirror(p, n) → p'
Mirror(n, p') → n'
Mirror(p', n') → p''
Mirror(n', p'') → n''
Mirror(p'', n'') → p'''
Mirror(n'', p''') → n'''
Mirror(q, r) → q'
Mirror(r, q') → r'
Mirror(q', r') → q''
Mirror(r', q'') → r''
Mirror(q'', r'') → q'''
Intersect(q, p''') → G_9
Intersect(r, n') → H_9
Intersect(r, n'') → I_9
Intersect(r, n''') → J_9
Intersect(p'', q') → K_9
Intersect(q', p) → L_9
Intersect(n', r') → M_9
Intersect(n'', r') → N_9
Intersect(n''', r') → O_9
Intersect(n''', r'') → P_9
Intersect(n'', r'') → Q_9
Intersect(n', r'') → R_9
Intersect(n, r'') → S_9
Intersect(p''', q'') → T_9
Intersect(p'', q'') → U_9
Vector(W', W''_1) → s
Vector(W', U_9) → t
Vector(J_4, U_6) → u1
Vector(J_4, S_4) → v1
Intersect(t_4, r) → C
Intersect(q_4, n') → D
Polygon(H_9, C, T_4, S_4, R_4, D) → poly7, h_9, c_{10}, t_9, s_9, r_9, d_{10}
Min(180, ((a - 1) * 180)) → r1
Rotate(H_9, (-(r1°)), S_4) → E
Rotate(C, (-(r1°)), S_4) → C'
Rotate(T_4, (-(r1°)), S_4) → F
Rotate(S_4, (-(r1°)), S_4) → G
Rotate(R_4, (-(r1°)), S_4) → H
Rotate(D, (-(r1°)), S_4) → D'
Polygon(E, C', F, G, H, D') → poly7', e_9, c', f_9, g_9, h_{10}, d'
Mirror(H_9, n') → I
Mirror(C, n') → C'_1
Mirror(T_4, n') → J
Mirror(S_4, n') → K
Mirror(R_4, n') → L
Mirror(D, n') → D'_1
Polygon(I, C'_1, J, K, L, D'_1) → poly7'_1, i_9, c'_1, j_9, k_9, l_9, d'_1
Mirror(H_9, r) → M
Mirror(C, r) → C'_2
Mirror(T_4, r) → N
Mirror(S_4, r) → O
Mirror(R_4, r) → P
Mirror(D, r) → D'_2
Polygon(M, C'_2, N, O, P, D'_2) → poly7'_2, m_9, c'_2, n_9, o, p_9, d'_2
Mirror(I, r) → I'
Mirror(C'_1, r) → Q
Mirror(J, r) → J'
Mirror(K, r) → K'
Mirror(L, r) → L'
Mirror(D'_1, r) → R
Polygon(I', Q, J', K', L', R) → poly8, i', q_9, j', k', l', r_{10}
Mirror(E, n) → E'
Mirror(C', n) → C''
Mirror(F, n) → F'
Mirror(G, n) → G'
Mirror(H, n) → H'
Mirror(D', n) → D''
Polygon(E', C'', F', G', H', D'') → poly7'', e', c'', f', g', h', d''
Mirror(E, r') → E'_1
Mirror(C', r') → C''_1
Mirror(F, r') → F'_1
Mirror(G, r') → G'_1
Mirror(H, r') → H'_1
Mirror(D', r') → D''_1
Polygon(E'_1, C''_1, F'_1, G'_1, H'_1, D''_1) → poly7''_1, e'_1, c''_1, f'_1, g'_1, h'_1, d''_1
Mirror(E', r') → E''
Mirror(C'', r') → C'''
Mirror(F', r') → F''
Mirror(G', r') → G''
Mirror(H', r') → H''
Mirror(D'', r') → D'''
Polygon(E'', C''', F'', G'', H'', D''') → poly7''', e'', c''', f'', g'', h'', d'''
Min(180, ((a - 3.5) * 180)) → r2
Rotate(H_9, (-(r2°)), F_9) → T
Rotate(C, (-(r2°)), F_9) → C'_3
Rotate(T_4, (-(r2°)), F_9) → U
Rotate(S_4, (-(r2°)), F_9) → V
Rotate(R_4, (-(r2°)), F_9) → V_9
Rotate(D, (-(r2°)), F_9) → D'_3
Polygon(T, C'_3, U, V, V_9, D'_3) → poly7'_3, t_{10}, c'_3, u_9, v_9, v_{10}, d'_3
Rotate(I, (-(r2°)), F_9) → I'_1
Rotate(C'_1, (-(r2°)), F_9) → W_9
Rotate(J, (-(r2°)), F_9) → J'_1
Rotate(K, (-(r2°)), F_9) → K'_1
Rotate(L, (-(r2°)), F_9) → L'_1
Rotate(D'_1, (-(r2°)), F_9) → Z_9
Polygon(I'_1, W_9, J'_1, K'_1, L'_1, Z_9) → poly9, i'_1, w_{10}, j'_1, k'_1, l'_1, z_{10}
Rotate(I', (-(r2°)), F_9) → I''
Rotate(Q, (-(r2°)), F_9) → Q'
Rotate(J', (-(r2°)), F_9) → J''
Rotate(K', (-(r2°)), F_9) → K''
Rotate(L', (-(r2°)), F_9) → L''
Rotate(R, (-(r2°)), F_9) → R'
Polygon(I'', Q', J'', K'', L'', R') → poly8', i'', q'_1, j'', k'', l'', r'_1
Rotate(M, (-(r2°)), F_9) → M'
Rotate(C'_2, (-(r2°)), F_9) → A_{10}
Rotate(N, (-(r2°)), F_9) → N'
Rotate(O, (-(r2°)), F_9) → O'
Rotate(P, (-(r2°)), F_9) → P'
Rotate(D'_2, (-(r2°)), F_9) → B_{10}
Polygon(M', A_{10}, N', O', P', B_{10}) → poly10, m', a_{10}, n'_1, o', p'_1, b_{10}
Rotate(E', (-(r2°)), M_9) → E''_1
Rotate(C'', (-(r2°)), M_9) → C'''_1
Rotate(F', (-(r2°)), M_9) → F''_1
Rotate(G', (-(r2°)), M_9) → G''_1
Rotate(H', (-(r2°)), M_9) → H''_1
Rotate(D'', (-(r2°)), M_9) → D'''_1
Polygon(E''_1, C'''_1, F''_1, G''_1, H''_1, D'''_1) → poly7'''_1, e''_1, c'''_1, f''_1, g''_1, h''_1, d'''_1
Rotate(E'', (-(r2°)), M_9) → E'''
Rotate(C''', (-(r2°)), M_9) → C_{10}
Rotate(F'', (-(r2°)), M_9) → F'''
Rotate(G'', (-(r2°)), M_9) → G'''
Rotate(H'', (-(r2°)), M_9) → H'''
Rotate(D''', (-(r2°)), M_9) → D_{10}
Polygon(E''', C_{10}, F''', G''', H''', D_{10}) → poly11, e''', c_{11}, f''', g''', h''', d_{11}
Rotate(E'_1, (-(r2°)), M_9) → E_{10}
Rotate(C''_1, (-(r2°)), M_9) → F_{10}
Rotate(F'_1, (-(r2°)), M_9) → G_{10}
Rotate(G'_1, (-(r2°)), M_9) → H_{10}
Rotate(H'_1, (-(r2°)), M_9) → I_{10}
Rotate(D''_1, (-(r2°)), M_9) → J_{10}
Polygon(E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}) → poly12, e_{10}, f_{10}, g_{10}, h_{11}, i_{10}, j_{10}
Rotate(E, (-(r2°)), M_9) → E'_2
Rotate(C', (-(r2°)), M_9) → C''_2
Rotate(F, (-(r2°)), M_9) → F'_2
Rotate(G, (-(r2°)), M_9) → G'_2
Rotate(H, (-(r2°)), M_9) → H'_2
Rotate(D', (-(r2°)), M_9) → D''_2
Polygon(E'_2, C''_2, F'_2, G'_2, H'_2, D''_2) → poly7''_2, e'_2, c''_2, f'_2, g'_2, h'_2, d''_2
Mirror(E'', q'') → E'''_1
Mirror(C''', q'') → K_{10}
Mirror(F'', q'') → F'''_1
Mirror(G'', q'') → G'''_1
Mirror(H'', q'') → H'''_1
Mirror(D''', q'') → L_{10}
Polygon(E'''_1, K_{10}, F'''_1, G'''_1, H'''_1, L_{10}) → poly13, e'''_1, k_{10}, f'''_1, g'''_1, h'''_1, l_{10}
Mirror(E'_1, q'') → M_{10}
Mirror(C''_1, q'') → N_{10}
Mirror(F'_1, q'') → O_{10}
Mirror(G'_1, q'') → P_{10}
Mirror(H'_1, q'') → Q_{10}
Mirror(D''_1, q'') → R_{10}
Polygon(M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}) → poly14, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{11}
Mirror(E', q'') → E''_2
Mirror(C'', q'') → C'''_2
Mirror(F', q'') → F''_2
Mirror(G', q'') → G''_2
Mirror(H', q'') → H''_2
Mirror(D'', q'') → D'''_2
Polygon(E''_2, C'''_2, F''_2, G''_2, H''_2, D'''_2) → poly7'''_2, e''_2, c'''_2, f''_2, g''_2, h''_2, d'''_2
Mirror(E, q'') → E'_3
Mirror(C', q'') → C''_3
Mirror(F, q'') → F'_3
Mirror(G, q'') → G'_3
Mirror(H, q'') → H'_3
Mirror(D', q'') → D''_3
Polygon(E'_3, C''_3, F'_3, G'_3, H'_3, D''_3) → poly7''_3, e'_3, c''_3, f'_3, g'_3, h'_3, d''_3
Mirror(E'_2, q'') → S_{10}
Mirror(C''_2, q'') → T_{10}
Mirror(F'_2, q'') → U_{10}
Mirror(G'_2, q'') → V_{10}
Mirror(H'_2, q'') → W_{10}
Mirror(D''_2, q'') → Z_{10}
Polygon(S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, Z_{10}) → poly15, s_{10}, t_{11}, u_{10}, v_{11}, w_{11}, z_{11}
Mirror(E''_1, q'') → A_{11}
Mirror(C'''_1, q'') → B_{11}
Mirror(F''_1, q'') → C_{11}
Mirror(G''_1, q'') → D_{11}
Mirror(H''_1, q'') → E_{11}
Mirror(D'''_1, q'') → F_{11}
Polygon(A_{11}, B_{11}, C_{11}, D_{11}, E_{11}, F_{11}) → poly16, a_{11}, b_{11}, c_1, d_{12}, e_{11}, f_{11}
Mirror(E_{10}, q'') → G_{11}
Mirror(F_{10}, q'') → H_{11}
Mirror(G_{10}, q'') → I_{11}
Mirror(H_{10}, q'') → J_{11}
Mirror(I_{10}, q'') → K_{11}
Mirror(J_{10}, q'') → L_{11}
Polygon(G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}) → poly12', g_{11}, h_{12}, i_{11}, j_{11}, k_{11}, l_{11}
Mirror(E''', q'') → M_{11}
Mirror(C_{10}, q'') → N_{11}
Mirror(F''', q'') → O_{11}
Mirror(G''', q'') → P_{11}
Mirror(H''', q'') → Q_{11}
Mirror(D_{10}, q'') → R_{11}
Polygon(M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}) → poly11', m_{11}, n_{11}, o_{11}, p_{11}, q_{11}, r_{12}
Length(u1) → l1
Min(l1, ((a - 5) * l1)) → d1
Circle(S, d1) → s_{11}
Line(S, q''') → l_1
Intersect(s_{11}, l_1, 2) → S_{11}
Vector(S, S_{11}) → u
Translate(E''_2, u) → T_{11}
Translate(C'''_2, u) → U_{11}
Translate(F''_2, u) → V_{11}
Translate(G''_2, u) → W_{11}
Translate(H''_2, u) → Z_{11}
Translate(D'''_2, u) → A_{12}
Polygon(T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}) → poly17, t_{12}, u_{11}, v_{12}, w_{12}, z_{12}, a_{12}
Translate(E'_3, u) → B_{12}
Translate(C''_3, u) → C_{12}
Translate(F'_3, u) → D_{12}
Translate(G'_3, u) → E_{12}
Translate(H'_3, u) → F_{12}
Translate(D''_3, u) → G_{12}
Polygon(B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}) → poly18, b_{12}, c_{12}, d_{13}, e_{12}, f_{12}, g_{12}
Translate(M_{10}, u) → H_{12}
Translate(N_{10}, u) → I_{12}
Translate(O_{10}, u) → J_{12}
Translate(P_{10}, u) → K_{12}
Translate(Q_{10}, u) → L_{12}
Translate(R_{10}, u) → M_{12}
Polygon(H_{12}, I_{12}, J_{12}, K_{12}, L_{12}, M_{12}) → poly14', h_{13}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}
Translate(E'''_1, u) → N_{12}
Translate(K_{10}, u) → O_{12}
Translate(F'''_1, u) → P_{12}
Translate(G'''_1, u) → Q_{12}
Translate(H'''_1, u) → R_{12}
Translate(L_{10}, u) → S_{12}
Polygon(N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}) → poly13', n_{12}, o_{12}, p_{12}, q_{12}, r_{13}, s_{12}
Translate(S_{10}, u) → T_{12}
Translate(T_{10}, u) → U_{12}
Translate(U_{10}, u) → V_{12}
Translate(V_{10}, u) → W_{12}
Translate(W_{10}, u) → Z_{12}
Translate(Z_{10}, u) → A_{13}
Polygon(T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}) → poly15', t_{13}, u_{12}, v_{13}, w_{13}, z_{13}, a_{13}
Translate(G_{11}, u) → B_{13}
Translate(H_{11}, u) → C_{13}
Translate(I_{11}, u) → D_{13}
Translate(J_{11}, u) → E_{13}
Translate(K_{11}, u) → F_{13}
Translate(L_{11}, u) → G_{13}
Polygon(B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}) → poly12'', b_{13}, c_{13}, d_{14}, e_{13}, f_{13}, g_{13}
Translate(M_{11}, u) → H_{13}
Translate(N_{11}, u) → I_{13}
Translate(O_{11}, u) → J_{13}
Translate(P_{11}, u) → K_{13}
Translate(Q_{11}, u) → L_{13}
Translate(R_{11}, u) → M_{13}
Polygon(H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}) → poly11'', h_{14}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}
Translate(A_{11}, u) → N_{13}
Translate(B_{11}, u) → O_{13}
Translate(C_{11}, u) → P_{13}
Translate(D_{11}, u) → Q_{13}
Translate(E_{11}, u) → R_{13}
Translate(F_{11}, u) → S_{13}
Polygon(N_{13}, O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}) → poly16', n_{13}, o_{13}, p_{13}, q_{13}, r_{14}, s_{13}
Length(s) → l2
Line(S, s) → a_{14}
Line(S, t) → b_{14}
Min(l2, ((a - 6.5) * a)) → d2
Circle(S, d2) → c_{14}
Intersect(c_{14}, a_{14}, 2) → T_{13}
Vector(S, T_{13}) → w
Intersect(c_{14}, b_{14}, 2) → U_{13}
Vector(S, U_{13}) → u_{13}
Translate(M, w) → M'_1
Translate(C'_2, w) → V_{13}
Translate(N, w) → N'_1
Translate(O, w) → O'_1
Translate(P, w) → P'_1
Translate(D'_2, w) → W_{13}
Polygon(M'_1, V_{13}, N'_1, O'_1, P'_1, W_{13}) → poly19, m'_1, v_{14}, n'_2, o'_1, p'_2, w_{14}
Translate(H_9, w) → Z_{13}
Translate(C, w) → C'_4
Translate(T_4, w) → A_{14}
Translate(S_4, w) → B_{14}
Translate(R_4, w) → C_{14}
Translate(D, w) → D'_4
Polygon(Z_{13}, C'_4, A_{14}, B_{14}, C_{14}, D'_4) → poly7'_4, z_{14}, c'_4, a_{15}, b_{15}, c_{15}, d'_4
Translate(I', w) → I''_1
Translate(Q, w) → Q'_1
Translate(J', w) → J''_1
Translate(K', w) → K''_1
Translate(L', w) → L''_1
Translate(R, w) → R'_1
Polygon(I''_1, Q'_1, J''_1, K''_1, L''_1, R'_1) → poly8'_1, i''_1, q'_2, j''_1, k''_1, l''_1, r'_2
Translate(I, w) → I'_2
Translate(C'_1, w) → D_{14}
Translate(J, w) → J'_2
Translate(K, w) → K'_2
Translate(L, w) → L'_2
Translate(D'_1, w) → E_{14}
Polygon(I'_2, D_{14}, J'_2, K'_2, L'_2, E_{14}) → poly20, i'_2, d_{15}, j'_2, k'_2, l'_2, e_{14}
Translate(T_{12}, u_{13}) → F_{14}
Translate(U_{12}, u_{13}) → G_{14}
Translate(V_{12}, u_{13}) → H_{14}
Translate(W_{12}, u_{13}) → I_{14}
Translate(Z_{12}, u_{13}) → J_{14}
Translate(A_{13}, u_{13}) → K_{14}
Polygon(F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}) → poly15'', f_{14}, g_{14}, h_{15}, i_{14}, j_{14}, k_{14}
Translate(B_{13}, u_{13}) → L_{14}
Translate(C_{13}, u_{13}) → M_{14}
Translate(D_{13}, u_{13}) → N_{14}
Translate(E_{13}, u_{13}) → O_{14}
Translate(F_{13}, u_{13}) → P_{14}
Translate(G_{13}, u_{13}) → Q_{14}
Polygon(L_{14}, M_{14}, N_{14}, O_{14}, P_{14}, Q_{14}) → poly12''', l_{14}, m_{14}, n_{14}, o_{14}, p_{14}, q_{14}
Translate(H_{13}, u_{13}) → R_{14}
Translate(I_{13}, u_{13}) → S_{14}
Translate(J_{13}, u_{13}) → T_{14}
Translate(K_{13}, u_{13}) → U_{14}
Translate(L_{13}, u_{13}) → V_{14}
Translate(M_{13}, u_{13}) → W_{14}
Polygon(R_{14}, S_{14}, T_{14}, U_{14}, V_{14}, W_{14}) → poly11''', r_{15}, s_{14}, t_{14}, u_{14}, v_{15}, w_{15}
Translate(N_{13}, u_{13}) → Z_{14}
Translate(O_{13}, u_{13}) → A_{15}
Translate(P_{13}, u_{13}) → B_{15}
Translate(Q_{13}, u_{13}) → C_{15}
Translate(R_{13}, u_{13}) → D_{15}
Translate(S_{13}, u_{13}) → E_{15}
Polygon(Z_{14}, A_{15}, B_{15}, C_{15}, D_{15}, E_{15}) → poly16'', z_{15}, a_{16}, b_{16}, c_{16}, d_{16}, e_{15}
Translate(T_{11}, u_{13}) → F_{15}
Translate(U_{11}, u_{13}) → G_{15}
Translate(V_{11}, u_{13}) → H_{15}
Translate(W_{11}, u_{13}) → I_{15}
Translate(Z_{11}, u_{13}) → J_{15}
Translate(A_{12}, u_{13}) → K_{15}
Polygon(F_{15}, G_{15}, H_{15}, I_{15}, J_{15}, K_{15}) → poly17', f_{15}, g_{15}, h_{16}, i_{15}, j_{15}, k_{15}
Translate(B_{12}, u_{13}) → L_{15}
Translate(C_{12}, u_{13}) → M_{15}
Translate(D_{12}, u_{13}) → N_{15}
Translate(E_{12}, u_{13}) → O_{15}
Translate(F_{12}, u_{13}) → P_{15}
Translate(G_{12}, u_{13}) → Q_{15}
Polygon(L_{15}, M_{15}, N_{15}, O_{15}, P_{15}, Q_{15}) → poly18', l_{15}, m_{15}, n_{15}, o_{15}, p_{15}, q_{15}
Translate(N_{12}, u_{13}) → R_{15}
Translate(O_{12}, u_{13}) → S_{15}
Translate(P_{12}, u_{13}) → T_{15}
Translate(Q_{12}, u_{13}) → U_{15}
Translate(R_{12}, u_{13}) → V_{15}
Translate(S_{12}, u_{13}) → W_{15}
Polygon(R_{15}, S_{15}, T_{15}, U_{15}, V_{15}, W_{15}) → poly13'', r_{16}, s_{15}, t_{15}, u_{15}, v_{16}, w_{16}
Translate(H_{12}, u_{13}) → Z_{15}
Translate(I_{12}, u_{13}) → A_{16}
Translate(J_{12}, u_{13}) → B_{16}
Translate(K_{12}, u_{13}) → C_{16}
Translate(L_{12}, u_{13}) → D_{16}
Translate(M_{12}, u_{13}) → E_{16}
Polygon(Z_{15}, A_{16}, B_{16}, C_{16}, D_{16}, E_{16}) → poly14'', z_{16}, a_{17}, b_{17}, c_{17}, d_{17}, e_{16}
Translate(I'_1, w) → F_{16}
Translate(W_9, w) → G_{16}
Translate(J'_1, w) → H_{16}
Translate(K'_1, w) → I_{16}
Translate(L'_1, w) → J_{16}
Translate(Z_9, w) → K_{16}
Polygon(F_{16}, G_{16}, H_{16}, I_{16}, J_{16}, K_{16}) → poly9', f_{16}, g_{16}, h_{17}, i_{16}, j_{16}, k_{16}
Translate(T, w) → T'
Translate(C'_3, w) → L_{16}
Translate(U, w) → U'
Translate(V, w) → V'
Translate(V_9, w) → M_{16}
Translate(D'_3, w) → N_{16}
Polygon(T', L_{16}, U', V', M_{16}, N_{16}) → poly21, t', l_{16}, u', v', m_{16}, n_{16}
Translate(I'', w) → I'''
Translate(Q', w) → Q''
Translate(J'', w) → J'''
Translate(K'', w) → K'''
Translate(L'', w) → L'''
Translate(R', w) → R''
Polygon(I''', Q'', J''', K''', L''', R'') → poly8'', i''', q''_1, j''', k''', l''', r''_1
Translate(M', w) → M''
Translate(A_{10}, w) → P_{16}
Translate(N', w) → N''
Translate(O', w) → O''
Translate(P', w) → P''
Translate(B_{10}, w) → Q_{16}
Polygon(M'', P_{16}, N'', O'', P'', Q_{16}) → poly10', m'', p_{16}, n''_1, o'', p''_1, q_{16}
Translate(I'', u_{13}) → I'''_1
Translate(Q', u_{13}) → Q''_1
Translate(J'', u_{13}) → J'''_1
Translate(K'', u_{13}) → K'''_1
Translate(L'', u_{13}) → L'''_1
Translate(R', u_{13}) → R''_1
Polygon(I'''_1, Q''_1, J'''_1, K'''_1, L'''_1, R''_1) → poly8''_1, i'''_1, q''_2, j'''_1, k'''_1, l'''_1, r''_2
Translate(M', u_{13}) → M''_1
Translate(A_{10}, u_{13}) → R_{16}
Translate(N', u_{13}) → N''_1
Translate(O', u_{13}) → O''_1
Translate(P', u_{13}) → P''_1
Translate(B_{10}, u_{13}) → S_{16}
Polygon(M''_1, R_{16}, N''_1, O''_1, P''_1, S_{16}) → poly10'_1, m''_1, r_{17}, n''_2, o''_1, p''_2, s_{16}
Translate(N_{12}, w) → T_{16}
Translate(O_{12}, w) → U_{16}
Translate(P_{12}, w) → V_{16}
Translate(Q_{12}, w) → W_{16}
Translate(R_{12}, w) → Z_{16}
Translate(S_{12}, w) → A_{17}
Polygon(T_{16}, U_{16}, V_{16}, W_{16}, Z_{16}, A_{17}) → poly13''_1, t_{16}, u_{16}, v_{17}, w_{17}, z_{17}, a_{18}
Translate(H_{12}, w) → B_{17}
Translate(I_{12}, w) → C_{17}
Translate(J_{12}, w) → D_{17}
Translate(K_{12}, w) → E_{17}
Translate(L_{12}, w) → F_{17}
Translate(M_{12}, w) → G_{17}
Polygon(B_{17}, C_{17}, D_{17}, E_{17}, F_{17}, G_{17}) → poly14''_1, b_{18}, c_{18}, d_{18}, e_{17}, f_{17}, g_{17}
Mirror(r, q) → r'_3
Mirror(n, p) → n'_3
Mirror(p, n'_3) → p'_3
Mirror(n'_3, p'_3) → i_{17}
Mirror(r'', q''') → r'''
Rotate(M, 90°, U_5) → M'_2
Mirror(M, U_5) → M'_3
Mirror(M'_2, U_5) → H_{17}
Polygon(M, M'_2, M'_3, H_{17}) → poly22, m_{17}, m'_2, m'_3, h_{18}
Intersect(p, q''') → I_{17}
Intersect(p', q''') → J_{17}
Intersect(p'', q''') → K_{17}
Intersect(p''', q''') → L_{17}

AI Drawing Prompt Reference

Create a composite geometric pattern based on vectors, symmetry, and repeated translation. Start with a quadrilateral polygon defined by four points. Construct a couple of segments from two vertex pairs, then draw lines through midpoint-derived points so that several intersections with the segments produce multiple key intersection points. Mirror those intersection points across one line and another related line to obtain corresponding symmetric points. Use the original and mirrored points to form a larger polygonal region. Next, define vector directions from one vertex to two other reference points, translate the mirrored and constructed objects along the same direction to generate matching translated point sets, and finally connect the translated points into a new polygon to complete the repeating tiled composition.

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