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

valider

valider

valider

S =

F =

A =

a: 1.5
sommets: 24
faces: 38
aretes: 60
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
p: (1 + sqrt(5)) / 2
b: (a * p^(2))
c: (a * p^(3))
d: ((a * 2) * p)
e: (a * (p + 2))
f: (a * p)
l1 = Sequence(Sequence[Sequence[((a * (-1)^(i)), (a * (-1)^(j)), (c * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l4 = Sequence(Sequence[Sequence[((b * (-1)^(i)), (f * (-1)^(j)), (d * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l5 = Sequence(Sequence[Sequence[((d * (-1)^(k)), (b * (-1)^(i)), (f * (-1)^(j))), k, 1, 2], j, 1, 2], i, 1, 2)
l6 = Sequence(Sequence[Sequence[((f * (-1)^(j)), (d * (-1)^(k)), (b * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l2 = Sequence(Sequence[Sequence[((c * (-1)^(k)), (a * (-1)^(j)), (a * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l3 = Sequence(Sequence[Sequence[((a * (-1)^(j)), (c * (-1)^(k)), (a * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l7 = Sequence(Sequence[Sequence[((e * (-1)^(i)), 0^(j), (b * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l8 = Sequence(Sequence[Sequence[((b * (-1)^(k)), (e * (-1)^(i)), 0^(j)), k, 1, 2], j, 1, 2], i, 1, 2)
l9 = Sequence(Sequence[Sequence[(0^(j), (b * (-1)^(k)), (e * (-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(l9)
t1, b_2, a_2, e_1 = Polygon(A, E, B)
F = Point(l4)
G = Point(l7)
H = Point(l4)
poly1, b_3, f_1, g, h, c_2 = Polygon(B, F, G, H, C)
I = Point(l6)
q2, e_2, i, f_2, b_4 = Polygon(E, I, F, B)
J = Point(l9)
t2, d_2, c_3, j = Polygon(C, J, D)
K = Point(l6)
q3, h_1, k, j_1, c_4 = Polygon(H, K, J, C)
L = Point(l6)
M = Point(l4)
q4, j_2, l, m, d_3 = Polygon(J, L, M, D)
N = Point(l7)
O = Point(l4)
poly2, d_4, m_1, n, o, a_3 = Polygon(D, M, N, O, A)
P = Point(l6)
q5, a_4, o_1, p_1, e_3 = Polygon(A, O, P, E)
Q = Point(l3)
R = Point(l3)
poly3, e_4, p_2, q, r, i_1 = Polygon(E, P, Q, R, I)
S = Point(l3)
T = Point(l3)
poly4, j_3, k_1, s, t, l_1 = Polygon(J, K, S, T, L)
U = Point(l5)
t3, m_2, l_2, u = Polygon(L, U, M)
V = Point(l8)
q6, t_1, v, u_1, l_3 = Polygon(T, V, U, L)
W = Point(l2)
q7, m_3, u_2, w, n_1 = Polygon(M, U, W, N)
Z = Point(l5)
A_1 = Point(l2)
poly5, u_3, v_1, z_1, g_1, w_1 = Polygon(U, V, Z, A_1, W)
B_1 = Point(l2)
C_1 = Point(l5)
q8, n_2, q_1, r_1, o_2 = Polygon(N, B_1, C_1, O)
t4, s_1, n_3, w_2 = Polygon(N, W, B_1)
t5, p_3, o_3, g_2 = Polygon(O, C_1, P)
D_1 = Point(l8)
q9, h_2, i_2, q_2, p_4 = Polygon(C_1, D_1, Q, P)
E_1 = Point(l2)
F_1 = Point(l5)
poly6, k_2, r_2, s_2, t_2, f_3 = Polygon(B_1, E_1, F_1, D_1, C_1)
q10, w_3, g_3, h_3, i_3 = Polygon(W, B_1, E_1, A_1)
G_1 = Point(l5)
t6, f_4, i_4, k_3 = Polygon(I, G_1, F)
H_1 = Point(l8)
q11, r_3, q_3, s_3, i_5 = Polygon(R, H_1, G_1, I)
I_1 = Point(l2)
q12, t_3, g_4, g_5, f_5 = Polygon(G_1, I_1, G, F)
J_1 = Point(l5)
K_1 = Point(l2)
poly7, h_4, j_4, k_4, l_4, m_4 = Polygon(G_1, H_1, J_1, K_1, I_1)
L_1 = Point(l2)
t7, g_6, n_4, q_4 = Polygon(I_1, L_1, G)
M_1 = Point(l5)
q13, h_5, r_4, s_4, g_7 = Polygon(H, M_1, L_1, G)
t8, k_5, h_6, t_4 = Polygon(H, M_1, K)
N_1 = Point(l8)
q14, k_6, j_5, l_5, s_5 = Polygon(K, M_1, N_1, S)
O_1 = Point(l2)
P_1 = Point(l5)
poly8, m_5, n_5, p_5, q_5, r_5 = Polygon(M_1, L_1, O_1, P_1, N_1)
Q_1 = Point(l3)
t9, t_5, s_6, a_5 = Polygon(S, Q_1, N_1)
R_1 = Point(l6)
q15, b_5, c_5, d_5, e_5 = Polygon(Q_1, R_1, P_1, N_1)
S_1 = Point(l3)
q16, s_7, f_6, i_6, t_6 = Polygon(S, Q_1, S_1, T)
t10, v_2, t_7, j_6 = Polygon(T, S_1, V)
T_1 = Point(l9)
U_1 = Point(l6)
poly9, l_6, m_6, n_6, p_6, q_6 = Polygon(R_1, T_1, U_1, S_1, Q_1)
q17, r_6, a_6, z_2, v_3 = Polygon(S_1, U_1, Z, V)
V_1 = Point(l4)
W_1 = Point(l7)
q18, z_3, b_6, c_6, d_6 = Polygon(Z, V_1, W_1, A_1)
t11, e_6, z_4, f_7 = Polygon(Z, U_1, V_1)
t12, h_7, i_7, j_7 = Polygon(A_1, W_1, E_1)
Z_1 = Point(l4)
q19, k_7, l_7, m_7, n_7 = Polygon(W_1, Z_1, F_1, E_1)
A_2 = Point(l3)
B_2 = Point(l6)
q20, p_7, q_7, r_7, a_7 = Polygon(D_1, A_2, B_2, F_1)
t13, b_7, q_8, c_7 = Polygon(Q, A_2, D_1)
C_2 = Point(l3)
q21, r_8, d_7, e_7, q_9 = Polygon(R, C_2, A_2, Q)
t14, f_8, r_9, g_8 = Polygon(R, C_2, H_1)
D_2 = Point(l6)
q22, h_8, i_8, j_8, k_8 = Polygon(H_1, J_1, D_2, C_2)
E_2 = Point(l9)
poly10, l_8, m_8, n_8, p_8, s_8 = Polygon(E_2, D_2, C_2, A_2, B_2)
t15, t_8, a_8, b_8 = Polygon(B_2, Z_1, F_1)
F_2 = Point(l1)
q23, c_8, d_8, e_8, f_9 = Polygon(B_2, Z_1, F_2, E_2)
G_2 = Point(l4)
H_2 = Point(l7)
q24, g_9, h_9, i_9, j_9 = Polygon(J_1, G_2, H_2, K_1)
t16, k_9, l_9, m_9 = Polygon(J_1, G_2, D_2)
q25, n_9, p_9, s_9, t_9 = Polygon(I_1, K_1, O_1, L_1)
t17, a_9, b_9, c_9 = Polygon(O_1, H_2, K_1)
I_2 = Point(l4)
q26, d_9, e_9, f_{10}, g_{10} = Polygon(O_1, H_2, I_2, P_1)
t18, h_{10}, i_{10}, j_{10} = Polygon(R_1, I_2, P_1)
J_2 = Point(l1)
q27, k_{10}, l_{10}, m_{10}, n_{10} = Polygon(I_2, J_2, T_1, R_1)
K_2 = Point(l1)
poly11, p_{10}, q_{10}, r_{10}, s_{10}, t_{10} = Polygon(H_2, G_2, K_2, J_2, I_2)
q28, a_{10}, b_{10}, c_{10}, d_{10} = Polygon(G_2, K_2, E_2, D_2)
t19, e_{10}, f_{11}, g_{11} = Polygon(E_2, F_2, K_2)
L_2 = Point(l1)
q29, h_{11}, i_{11}, j_{11}, k_{11} = Polygon(K_2, J_2, L_2, F_2)
poly12, l_{11}, m_{11}, n_{11}, p_{11}, q_{11} = Polygon(V_1, W_1, Z_1, F_2, L_2)
t20, r_{11}, s_{11}, t_{11} = Polygon(T_1, L_2, J_2)
q30, a_{11}, b_{11}, c_{11}, d_{11} = Polygon(U_1, V_1, L_2, T_1)