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

valider

valider

valider

S =

F =

A =

a: 1
b: (1 + sqrt(5)) / 2
c: (a * b)
sommets: 60
faces: 32
aretes: 90
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
d: a / b
e: (a * (2 + b))
f: ((a * 2) * b)
g: ((a * b) * b)
l1 = Sequence(Sequence[Sequence[((0 * (-1)^(i)), (d * (-1)^(j)), (e * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l4 = Sequence(Sequence[Sequence[((d * (-1)^(j)), (e * (-1)^(k)), (0 * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l5 = Sequence(Sequence[Sequence[((e * (-1)^(j)), (0 * (-1)^(k)), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l7 = Sequence(Sequence[Sequence[((d * (-1)^(j)), (c * (-1)^(k)), (f * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l8 = Sequence(Sequence[Sequence[((c * (-1)^(j)), (f * (-1)^(k)), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l9 = Sequence(Sequence[Sequence[((f * (-1)^(j)), (d * (-1)^(k)), (c * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l2 = Sequence(Sequence[Sequence[((c * (-1)^(j)), (2 * (-1)^(k)), (g * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l3 = Sequence(Sequence[Sequence[((2 * (-1)^(j)), (g * (-1)^(k)), (c * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l6 = Sequence(Sequence[Sequence[((g * (-1)^(j)), (c * (-1)^(k)), (2 * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
A = Point(l7)
B = Point(l7)
C = Point(l1)
t1, c_1, a_1, b_1 = Polygon(A, B, C)
D = Point(l2)
E = Point(l3)
F = Point(l6)
t2, f_1, d_1, e_1 = Polygon(D, E, F)
G = Point(l1)
H = Point(l7)
I = Point(l7)
t3, i, g_1, h = Polygon(G, H, I)
J = Point(l2)
K = Point(l6)
L = Point(l3)
t4, l, j, k = Polygon(J, K, L)
M = Point(l9)
N = Point(l5)
O = Point(l9)
t5, o, m, n = Polygon(M, N, O)
poly1, c_2, b_2, d_2, f_2, m_1, o_1, k_1, j_1, h_1, g_2 = Polygon(C, B, D, F, M, O, K, J, H, G)
P = Point(l8)
Q = Point(l4)
R = Point(l8)
t6, r, p, q = Polygon(P, Q, R)
S = Point(l4)
T = Point(l8)
U = Point(l8)
t7, u, s, t = Polygon(S, T, U)
V = Point(l2)
W = Point(l6)
Z = Point(l3)
t8, z_1, v, w = Polygon(V, W, Z)
A_1 = Point(l3)
B_1 = Point(l2)
C_1 = Point(l6)
t9, i_1, l_1, n_1 = Polygon(A_1, B_1, C_1)
D_1 = Point(l9)
E_1 = Point(l9)
F_1 = Point(l5)
t10, p_1, q_1, r_1 = Polygon(D_1, E_1, F_1)
G_1 = Point(l9)
H_1 = Point(l5)
I_1 = Point(l9)
t11, s_1, t_1, h_2 = Polygon(G_1, H_1, I_1)
J_1 = Point(l6)
K_1 = Point(l3)
L_1 = Point(l2)
t12, i_2, j_2, k_2 = Polygon(J_1, K_1, L_1)
M_1 = Point(l8)
N_1 = Point(l8)
O_1 = Point(l4)
t13, l_2, m_2, n_2 = Polygon(M_1, N_1, O_1)
P_1 = Point(l4)
Q_1 = Point(l8)
R_1 = Point(l8)
t14, p_2, q_2, r_2 = Polygon(P_1, Q_1, R_1)
poly2, i_3, h_3, j_3, l_3, s_2, t_2, a_2, e_2, f_3, g_3 = Polygon(I, H, J, L, R_1, P_1, O_1, M_1, K_1, L_1)
poly3, g_4, i_4, k_3, m_3, n_3, p_3, w_1, v_1, a_3, c_3 = Polygon(G, I, L_1, J_1, I_1, G_1, W, V, A, C)
poly4, a_4, v_2, z_2, u_1, s_3, q_3, p_4, e_3, d_3, b_3 = Polygon(A, V, Z, U, S, Q, P, E, D, B)
S_1 = Point(l3)
T_1 = Point(l6)
U_1 = Point(l9)
V_1 = Point(l5)
poly5, e_4, p_5, r_3, t_3, f_4, h_4, j_4, n_4, m_4, f_5 = Polygon(E, P, R, S_1, T_1, U_1, V_1, N, M, F)
W_1 = Point(l9)
t15, k_4, l_4, q_4 = Polygon(V_1, W_1, U_1)
Z_1 = Point(l6)
A_2 = Point(l2)
B_2 = Point(l3)
t16, r_4, s_4, t_4 = Polygon(Z_1, A_2, B_2)
C_2 = Point(l7)
D_2 = Point(l7)
E_2 = Point(l1)
t17, b_4, c_4, d_4 = Polygon(C_2, D_2, E_2)
F_2 = Point(l7)
G_2 = Point(l1)
H_2 = Point(l7)
t18, g_5, h_5, i_5 = Polygon(F_2, G_2, H_2)
I_2 = Point(l3)
J_2 = Point(l2)
K_2 = Point(l6)
t19, j_5, k_5, l_5 = Polygon(I_2, J_2, K_2)
poly6, m_5, n_5, q_5, r_5, s_5, t_5, a_5, b_5, c_5, d_5 = Polygon(P_1, Q_1, B_2, A_2, F_2, H_2, J_2, I_2, N_1, O_1)
poly7, e_5, f_6, g_6, h_6, i_6, j_6, k_6, l_6, m_6, n_6 = Polygon(H_1, I_1, J_1, K_1, M_1, N_1, I_2, K_2, E_1, F_1)
poly8, p_6, q_6, r_6, s_6, t_6, a_6, t_7, u_2, z_3, w_2 = Polygon(G_1, H_1, F_1, D_1, C_1, A_1, T, U, Z, W)
L_2 = Point(l2)
t20, b_6, c_6, d_6 = Polygon(S_1, L_2, T_1)
poly9, e_6, f_7, g_7, h_7, r_7, q_7, s_7, t_8, i_7, j_7 = Polygon(D_2, C_2, L_2, S_1, R, Q, S, T, A_1, B_1)
poly10, k_7, o_2, n_7, l_7, m_7, p_7, a_7, b_7, c_7, l_8 = Polygon(K, O, N, V_1, W_1, Z_1, B_2, Q_1, R_1, L)
poly11, d_7, e_7, f_8, g_8, h_8, i_8, j_8, k_8, m_8, n_8 = Polygon(E_2, G_2, F_2, A_2, Z_1, W_1, U_1, T_1, L_2, C_2)
poly12, p_8, q_8, r_8, s_8, a_8, b_8, c_8, d_8, e_8, f_9 = Polygon(G_2, E_2, D_2, B_1, C_1, D_1, E_1, K_2, J_2, H_2)