Déterminer le nombre de
sommets, de faces et
d'arêtes de ce solide.

valider

valider

valider

S =

F =

A =

a: 0.8
b: (1 + sqrt(5)) / 2
c: (a * b)
sommets: 120
faces: 62
aretes: 180
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
d: a / b
e: (a * (3 + b))
f: (a * 2 / b)
g: (a * ((2 * b) + 1))
h: ((a * b) * b)
m: (a * ((3 * b) - 1))
n: (a * ((2 * b) - 1))
r: (a * (2 + b))
s: ((a * 2) * b)
l1 = Sequence(Sequence[Sequence[((d * (-1)^(i)), (d * (-1)^(j)), (e * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l4 = Sequence(Sequence[Sequence[((e * (-1)^(j)), (d * (-1)^(k)), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l5 = Sequence(Sequence[Sequence[((d * (-1)^(j)), (e * (-1)^(k)), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l7 = Sequence(Sequence[Sequence[((f * (-1)^(j)), (c * (-1)^(k)), (g * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l8 = Sequence(Sequence[Sequence[((g * (-1)^(j)), (f * (-1)^(k)), (c * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l9 = Sequence(Sequence[Sequence[((c * (-1)^(j)), (g * (-1)^(k)), (f * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l2 = Sequence(Sequence[Sequence[((d * (-1)^(j)), (h * (-1)^(k)), (m * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l3 = Sequence(Sequence[Sequence[((m * (-1)^(j)), (d * (-1)^(k)), (h * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l6 = Sequence(Sequence[Sequence[((h * (-1)^(j)), (m * (-1)^(k)), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l13 = Sequence(Sequence[Sequence[((c * (-1)^(j)), (3 * (a * (-1)^(k))), (s * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l14 = Sequence(Sequence[Sequence[((3 * (a * (-1)^(j))), (s * (-1)^(k)), (c * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l15 = Sequence(Sequence[Sequence[((s * (-1)^(j)), (c * (-1)^(k)), (3 * (a * (-1)^(i)))), k, 1, 2], j, 1, 2], i, 1, 2)
A = Point(l1)
B = Point(l1)
C = Point(l1)
D = Point(l1)
q1, a_1, b_1, c_1, d_1 = Polygon(A, B, C, D)
E = Point(l1)
F = Point(l1)
G = Point(l1)
H = Point(l1)
q2, e_1, f_1, g_1, h_1 = Polygon(E, F, G, H)
I = Point(l4)
J = Point(l4)
K = Point(l4)
L = Point(l4)
q3, i, j, k, l = Polygon(I, J, K, L)
M = Point(l4)
N = Point(l4)
O = Point(l4)
P = Point(l4)
q4, m_1, n_1, o, p = Polygon(M, N, O, P)
Q = Point(l5)
R = Point(l5)
S = Point(l5)
T = Point(l5)
q5, q, r_1, s_1, t = Polygon(Q, R, S, T)
U = Point(l5)
V = Point(l5)
W = Point(l5)
Z = Point(l5)
q6, u, v, w, z_1 = Polygon(U, V, W, Z)
A_1 = Point(l7)
B_1 = Point(l2)
C_1 = Point(l2)
D_1 = Point(l7)
poly1, d_2, i_1, j_1, k_1, l_1, a_2 = Polygon(D, A_1, B_1, C_1, D_1, A)
l10 = Sequence(Sequence[Sequence[((n * (-1)^(j)), (2 * (a * (-1)^(k))), (r * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l11 = Sequence(Sequence[Sequence[((r * (-1)^(j)), (n * (-1)^(k)), (2 * (a * (-1)^(i)))), k, 1, 2], j, 1, 2], i, 1, 2)
l12 = Sequence(Sequence[Sequence[((2 * (a * (-1)^(j))), (r * (-1)^(k)), (n * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
E_1 = Point(l13)
F_1 = Point(l10)
q7, p_1, q_1, t_1, f_2 = Polygon(D_1, C_1, E_1, F_1)
G_1 = Point(l13)
H_1 = Point(l10)
q8, g_2, h_2, i_2, j_2 = Polygon(B_1, G_1, H_1, A_1)
I_1 = Point(l12)
J_1 = Point(l9)
K_1 = Point(l9)
L_1 = Point(l12)
poly2, k_2, l_2, m_2, n_2, p_2, t_2, q_2, r_2, s_2, b_2 = Polygon(C_1, B_1, G_1, I_1, J_1, T, Q, K_1, L_1, E_1)
M_1 = Point(l14)
N_1 = Point(l11)
O_1 = Point(l15)
poly3, c_2, e_2, f_3, o_1, g_3, h_3 = Polygon(L_1, M_1, N_1, O_1, F_1, E_1)
P_1 = Point(l6)
q9, i_3, j_3, k_3, l_3 = Polygon(K_1, P_1, M_1, L_1)
Q_1 = Point(l3)
R_1 = Point(l3)
S_1 = Point(l15)
T_1 = Point(l10)
U_1 = Point(l7)
poly4, a_3, m_3, n_3, p_3, q_3, r_3, s_3, t_3, u_1, b_3 = Polygon(A, D_1, F_1, O_1, Q_1, R_1, S_1, T_1, U_1, B)
V_1 = Point(l2)
W_1 = Point(l2)
Z_1 = Point(l7)
poly5, b_4, c_3, v_1, w_1, d_3, c_4 = Polygon(B, U_1, V_1, W_1, Z_1, C)
A_2 = Point(l13)
q10, e_3, f_4, g_4, h_4 = Polygon(T_1, A_2, V_1, U_1)
B_2 = Point(l10)
C_2 = Point(l15)
D_2 = Point(l3)
E_2 = Point(l3)
F_2 = Point(l15)
poly6, d_4, c_5, i_4, j_4, k_4, l_4, m_4, n_4, p_4, q_4 = Polygon(D, C, Z_1, B_2, C_2, D_2, E_2, F_2, H_1, A_1)
G_2 = Point(l11)
H_2 = Point(l14)
poly7, r_4, s_4, t_4, a_4, e_4, f_5 = Polygon(H_1, F_2, G_2, H_2, I_1, G_1)
I_2 = Point(l8)
q11, g_5, h_5, i_5, j_5 = Polygon(E_2, I_2, G_2, F_2)
J_2 = Point(l8)
K_2 = Point(l11)
q12, k_5, l_5, m_5, n_5 = Polygon(D_2, J_2, K_2, C_2)
L_2 = Point(l6)
q13, p_5, q_5, r_5, s_5 = Polygon(I_1, H_2, L_2, J_1)
M_2 = Point(l6)
N_2 = Point(l9)
poly8, t_5, a_5, b_5, d_5, s_6, t_6 = Polygon(J_1, L_2, M_2, N_2, S, T)
O_2 = Point(l9)
P_2 = Point(l6)
poly9, e_5, q_6, r_6, o_2, f_6, g_6 = Polygon(K_1, Q, R, O_2, P_2, P_1)
Q_2 = Point(l8)
q14, h_6, i_6, j_6, k_6 = Polygon(O_1, N_1, Q_2, Q_1)
R_2 = Point(l14)
S_2 = Point(l11)
T_2 = Point(l8)
poly10, l_6, m_6, n_6, p_6, a_6, b_6, c_6, k_7, l_7, d_6 = Polygon(N_1, M_1, P_1, P_2, R_2, S_2, T_2, K, L, Q_2)
U_2 = Point(l8)
poly11, e_6, f_7, l_8, i_7, u_2, g_7 = Polygon(Q_1, Q_2, L, I, U_2, R_1)
V_2 = Point(l11)
q15, h_7, j_7, v_2, m_7 = Polygon(R_1, U_2, V_2, S_1)
W_2 = Point(l14)
Z_2 = Point(l12)
poly12, n_7, p_7, q_7, w_2, z_2, r_7 = Polygon(T_1, S_1, V_2, W_2, Z_2, A_2)
A_3 = Point(l13)
q16, s_7, t_7, a_7, b_7 = Polygon(Z_1, W_1, A_3, B_2)
B_3 = Point(l9)
C_3 = Point(l9)
D_3 = Point(l12)
poly13, c_7, d_7, e_7, f_8, g_8, h_8, u_3, z_3, i_8, j_8 = Polygon(A_3, W_1, V_1, A_2, Z_2, B_3, U, Z, C_3, D_3)
E_3 = Point(l14)
poly14, k_8, m_8, n_8, p_8, q_8, r_8 = Polygon(B_2, A_3, D_3, E_3, K_2, C_2)
F_3 = Point(l6)
q17, s_8, t_8, a_8, b_8 = Polygon(D_3, C_3, F_3, E_3)
poly15, c_8, d_8, p_9, m_9, e_8, f_9 = Polygon(D_2, J_2, P, M, I_2, E_2)
G_3 = Point(l8)
H_3 = Point(l11)
I_3 = Point(l14)
poly16, g_9, h_9, m_{10}, n_9, i_9, j_9, k_9, l_9, q_9, r_9 = Polygon(G_2, I_2, M, N, G_3, H_3, I_3, M_2, L_2, H_2)
J_3 = Point(l12)
q18, s_9, t_9, a_9, b_9 = Polygon(I_3, J_3, N_2, M_2)
K_3 = Point(l12)
q19, c_9, d_9, e_9, f_{10} = Polygon(O_2, K_3, R_2, P_2)
L_3 = Point(l13)
M_3 = Point(l2)
N_3 = Point(l7)
O_3 = Point(l10)
P_3 = Point(l15)
poly17, g_{10}, h_{10}, o_3, i_{10}, j_{10}, k_{10} = Polygon(K_3, L_3, O_3, P_3, S_2, R_2)
Q_3 = Point(l3)
q20, l_{10}, n_{10}, p_{10}, q_{10} = Polygon(P_3, Q_3, T_2, S_2)
R_3 = Point(l6)
q21, r_{10}, s_{10}, t_{10}, a_{10} = Polygon(W_2, R_3, B_3, Z_2)
S_3 = Point(l8)
T_3 = Point(l11)
U_3 = Point(l14)
V_3 = Point(l6)
poly18, b_{10}, c_{10}, i_{11}, j_{11}, d_{10}, e_{10}, f_{11}, v_3, g_{11}, h_{11} = Polygon(V_2, U_2, I, J, S_3, T_3, U_3, V_3, R_3, W_2)
W_3 = Point(l9)
poly19, k_{11}, l_{11}, w_3, v_4, u_4, m_{11} = Polygon(R_3, V_3, W_3, V, U, B_3)
Z_3 = Point(l12)
q22, n_{11}, p_{11}, q_{11}, r_{11} = Polygon(U_3, Z_3, W_3, V_3)
A_4 = Point(l9)
B_4 = Point(l6)
poly20, s_{11}, z_4, w_4, t_{11}, a_{11}, b_{11} = Polygon(C_3, Z, W, A_4, B_4, F_3)
C_4 = Point(l14)
D_4 = Point(l11)
E_4 = Point(l8)
poly21, c_{11}, d_{11}, e_{11}, f_{12}, g_{12}, h_{12}, i_{12}, o_4, p_{12}, j_{12} = Polygon(K_2, E_3, F_3, B_4, C_4, D_4, E_4, O, P, J_2)
F_4 = Point(l12)
q23, k_{12}, l_{12}, m_{12}, n_{12} = Polygon(B_4, A_4, F_4, C_4)
G_4 = Point(l15)
H_4 = Point(l3)
q24, q_{12}, r_{12}, s_{12}, t_{12} = Polygon(D_4, G_4, H_4, E_4)
I_4 = Point(l13)
J_4 = Point(l10)
poly22, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{13} = Polygon(C_4, F_4, I_4, J_4, G_4, D_4)
K_4 = Point(l3)
poly23, o_5, g_{13}, h_{13}, i_{13}, j_{13}, n_{13} = Polygon(O, E_4, H_4, K_4, G_3, N)
L_4 = Point(l15)
q25, k_{13}, l_{13}, m_{13}, p_{13} = Polygon(G_3, K_4, L_4, H_3)
M_4 = Point(l10)
N_4 = Point(l13)
poly24, q_{13}, r_{13}, s_{13}, t_{13}, a_{13}, b_{13} = Polygon(H_3, L_4, M_4, N_4, J_3, I_3)
O_4 = Point(l2)
poly25, s_{14}, c_{13}, d_{13}, e_{13}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, r_{14} = Polygon(S, N_2, J_3, N_4, O_4, M_3, L_3, K_3, O_2, R)
P_4 = Point(l7)
q26, k_{14}, l_{14}, m_{14}, n_{14} = Polygon(N_4, M_4, P_4, O_4)
q27, p_{14}, q_{14}, t_{14}, a_{14} = Polygon(M_3, N_3, O_3, L_3)
poly26, b_{14}, c_{14}, h_{15}, e_{14}, d_{14}, f_{15} = Polygon(O_4, P_4, H, E, N_3, M_3)
Q_4 = Point(l7)
poly27, g_{15}, i_{15}, j_{15}, k_{15}, l_{15}, g_{16}, h_{16}, m_{15}, n_{15}, p_{15} = Polygon(K_4, H_4, G_4, J_4, Q_4, G, H, P_4, M_4, L_4)
R_4 = Point(l2)
q28, q_{15}, r_{15}, s_{15}, t_{15} = Polygon(I_4, R_4, Q_4, J_4)
S_4 = Point(l15)
T_4 = Point(l10)
U_4 = Point(l13)
poly28, a_{15}, b_{15}, c_{15}, d_{15}, e_{15}, f_{16} = Polygon(U_3, T_3, S_4, T_4, U_4, Z_3)
V_4 = Point(l3)
q29, i_{16}, j_{16}, k_{16}, l_{16} = Polygon(S_3, V_4, S_4, T_3)
poly29, j_{17}, k_{17}, m_{16}, n_{16}, p_{16}, q_{16} = Polygon(J, K, T_2, Q_3, V_4, S_3)
W_4 = Point(l7)
poly30, r_{16}, s_{16}, t_{16}, a_{16}, b_{16}, c_{16}, e_{16}, f_{17}, d_{16}, g_{17} = Polygon(S_4, V_4, Q_3, P_3, O_3, N_3, E, F, W_4, T_4)
Z_4 = Point(l2)
q30, h_{17}, i_{17}, l_{17}, m_{17} = Polygon(U_4, Z_4, W_4, T_4)
poly31, n_{17}, f_{18}, g_{18}, p_{17}, q_{17}, r_{17} = Polygon(W_4, F, G, Q_4, R_4, Z_4)
poly32, v_5, s_{17}, t_{17}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}, h_{18}, w_5 = Polygon(V, W_3, Z_3, U_4, Z_4, R_4, I_4, F_4, A_4, W)