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

valider

valider

valider

S =

F =

A =

a: 2
b: (1 + sqrt(5)) / 2
c: (a * b)
sommets: 30
faces: 32
aretes: 60
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
d: (a * b / 2)
e: (a * (1 + b) / 2)
l1 = Sequence(Sequence[Sequence[((0 * (-1)^(i)), (0 * (-1)^(j)), (c * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l4 = Sequence(Sequence[Sequence[((c * (-1)^(j)), (0 * (-1)^(k)), (0 * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l5 = Sequence(Sequence[Sequence[((0 * (-1)^(j)), (c * (-1)^(k)), (0 * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l7 = Sequence(Sequence[Sequence[((0.5 * (a * (-1)^(j))), (d * (-1)^(k)), (e * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l8 = Sequence(Sequence[Sequence[((e * (-1)^(j)), (0.5 * (a * (-1)^(k))), (d * (-1)^(i))), k, 1, 2], j, 1, 2], i, 1, 2)
l9 = Sequence(Sequence[Sequence[((d * (-1)^(j)), (e * (-1)^(k)), (0.5 * (a * (-1)^(i)))), k, 1, 2], j, 1, 2], i, 1, 2)
A = Point(l7)
B = Point(l7)
C = Point(l1)
G = Point(l1)
H = Point(l7)
I = Point(l7)
M = Point(l9)
N = Point(l5)
O = Point(l9)
P = Point(l8)
Q = Point(l4)
R = Point(l8)
S = Point(l4)
T = Point(l8)
U = Point(l8)
D_1 = Point(l9)
E_1 = Point(l9)
F_1 = Point(l5)
G_1 = Point(l9)
H_1 = Point(l5)
I_1 = Point(l9)
M_1 = Point(l8)
N_1 = Point(l8)
O_1 = Point(l4)
P_1 = Point(l4)
Q_1 = Point(l8)
R_1 = Point(l8)
U_1 = Point(l9)
V_1 = Point(l5)
W_1 = Point(l9)
C_2 = Point(l7)
D_2 = Point(l7)
E_2 = Point(l1)
F_2 = Point(l7)
G_2 = Point(l1)
H_2 = Point(l7)
t1, i, g, h = Polygon(G, H, I)
t2, b_1, g_1, a_1 = Polygon(G, A, B)
poly1, r_1, h_1, g_2, b_2, p = Polygon(R_1, H, G, B, P)
t3, p_1, b_3, m = Polygon(B, M, P)
t4, j, p_2, k = Polygon(P, P_1, R_1)
t5, h_2, l, o = Polygon(R_1, O, H)
poly2, g_3, i_1, m_1, u, a_2 = Polygon(G, I, M_1, U, A)
t6, n, i_2, q = Polygon(I, I_1, M_1)
D = Point(l5)
t7, d_1, o_1, w_1 = Polygon(O, W_1, D)
t8, q_1, r, r_2 = Polygon(P_1, R, Q_1)
t9, v_1, m_2, u_1 = Polygon(M, U_1, V_1)
t10, s, t, f_1 = Polygon(G_1, D_1, V_1)
t11, u_2, a_3, j_1 = Polygon(A, G_1, U)
t12, k_1, u_3, l_1 = Polygon(U, O_1, M_1)
t13, d_2, n_1, e_1 = Polygon(I_1, E_1, D)
poly3, h_3, o_2, d_3, s_1, i_3 = Polygon(H, O, D, I_1, I)
poly4, o_3, t_1, c_1, f_2, j_2 = Polygon(O, W_1, Q_1, P_1, R_1)
poly5, k_2, r_3, l_2, p_3, m_3 = Polygon(U_1, R, P_1, P, M)
poly6, a_4, n_2, q_2, m_4, b_4 = Polygon(A, G_1, V_1, M, B)
poly7, u_4, s_2, t_2, c_2, e_2 = Polygon(U, O_1, T, D_1, G_1)
t14, f_3, j_3, t_3 = Polygon(O_1, T, N_1)
t15, k_3, l_3, n_3 = Polygon(E_1, H_2, N_1)
poly8, q_3, s_3, c_3, e_3, f_4 = Polygon(M_1, I_1, E_1, N_1, O_1)
poly9, g_4, h_4, i_4, j_4, d_4 = Polygon(W_1, F_2, H_2, E_1, D)
t16, k_4, l_4, n_4 = Polygon(Q_1, F_2, W_1)
t17, p_4, q_4, r_4 = Polygon(C_2, D_2, G_2)
poly10, s_4, t_4, c_4, e_4, f_5 = Polygon(V_1, D_1, D_2, C_2, U_1)
t18, g_5, t_5, h_5 = Polygon(T, D_2, D_1)
poly11, t_6, i_5, j_5, k_5, l_5 = Polygon(T, N_1, H_2, G_2, D_2)
t19, m_5, n_5, p_5 = Polygon(F_2, G_2, H_2)
t20, r_5, q_5, s_5 = Polygon(U_1, C_2, R)
poly12, r_6, a_5, b_5, c_5, d_5 = Polygon(R, C_2, G_2, F_2, Q_1)