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

valider

valider

valider

S =

F =

A =

a: 3
sommets: 26
faces: 24
aretes: 48
rep1: 0
rep2: 0
rep3: 0
ChampTexte1 = Textfield(rep1)
ChampTexte2 = Textfield(rep2)
ChampTexte3 = Textfield(rep3)
b: a / sqrt(2)
l1 = Sequence(Sequence[Sequence[((b * (-1)^(i)), (b * (-1)^(j)), (0 * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l2 = Sequence(Sequence[Sequence[((0 * (-1)^(i)), (b * (-1)^(j)), (b * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l3 = Sequence(Sequence[Sequence[((b * (-1)^(i)), (0 * (-1)^(j)), (b * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
c: (a * (1 + (2 * sqrt(2))) / 7)
l4 = Sequence(Sequence[Sequence[((c * (-1)^(i)), (c * (-1)^(j)), (c * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l5 = Sequence(Sequence[Sequence[((a * (-1)^(i)), (0 * (-1)^(j)), (0 * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l6 = Sequence(Sequence[Sequence[((0 * (-1)^(i)), (a * (-1)^(j)), (0 * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
l7 = Sequence(Sequence[Sequence[((0 * (-1)^(i)), (0 * (-1)^(j)), (a * (-1)^(k))), k, 1, 2], j, 1, 2], i, 1, 2)
A = Point(l7)
B = Point(l3)
C = Point(l4)
D = Point(l2)
q1, a_1, b_1, c_1, d = Polygon(A, B, C, D)
E = Point(l4)
F = Point(l3)
q2, a_2, d_1, e, f = Polygon(A, D, E, F)
G = Point(l4)
H = Point(l2)
q3, a_3, f_1, g, h = Polygon(A, F, G, H)
I = Point(l4)
q4, a_4, h_1, i, b_2 = Polygon(A, H, I, B)
J = Point(l6)
K = Point(l1)
q5, h_2, j, k, i_1 = Polygon(H, J, K, I)
L = Point(l5)
q6, b_3, l, k_1, i_2 = Polygon(B, L, K, I)
M = Point(l1)
q7, c_2, m, l_1, b_4 = Polygon(C, M, L, B)
N = Point(l6)
q8, c_3, m_1, n, d_2 = Polygon(C, M, N, D)
O = Point(l1)
q9, e_1, o, n_1, d_3 = Polygon(E, O, N, D)
P = Point(l5)
q10, e_2, o_1, p, f_2 = Polygon(E, O, P, F)
Q = Point(l1)
q11, g_1, q, p_1, f_3 = Polygon(G, Q, P, F)
q12, h_3, g_2, q_1, j_1 = Polygon(H, G, Q, J)
R = Point(l4)
S = Point(l3)
q13, q_2, r, s, p_2 = Polygon(Q, R, S, P)
T = Point(l2)
q14, r_1, q_3, j_2, t = Polygon(R, Q, J, T)
U = Point(l7)
q15, r_2, s_1, u, t_1 = Polygon(R, S, U, T)
V = Point(l4)
q16, o_2, v, s_2, p_3 = Polygon(O, V, S, P)
W = Point(l2)
q17, o_3, v_1, w, n_2 = Polygon(O, V, W, N)
q18, w_1, u_1, s_3, v_2 = Polygon(W, U, S, V)
Z = Point(l4)
q19, m_2, z_1, w_2, n_3 = Polygon(M, Z, W, N)
A_1 = Point(l3)
q20, m_3, z_2, k_2, l_2 = Polygon(M, Z, A_1, L)
q21, z_3, t_2, u_2, w_3 = Polygon(Z, A_1, U, W)
B_1 = Point(l4)
q22, k_3, g_3, i_3, l_3 = Polygon(K, B_1, A_1, L)
q23, j_3, t_3, u_3, r_3 = Polygon(B_1, T, U, A_1)
q24, k_4, e_3, t_4, j_4 = Polygon(K, B_1, T, J)