(3)

(4)

(2)

(2)

(5)

(1)

(6)

Trace chacune des six sections représentées 
ci-dessous à l'intérieur de la pyramide en sachant
 que celle-ci a toutes ses arêtes de même longueur.

Le segment a qui correspond
à la longueur de l'arête de la 
pyramide est déplaçable à
partir de ses extrémités.

n4 = 1.7320508075688772
E_1 = (-3.117790529873431, 0.027634192637134736)
U = (-1.2234442821244653, 0.020167651297439082)
V = Point(Circle[U, 1])
n = Segment(U, V)
n1 = 2.8284271247461903
n2: n1 / 2
p = Circle(V, 1)
q = Circle(U, n1 / 2)
r = Circle(U, 1)
s = Circle(V, n1 / 2)
W = Intersect(s, p)
Z = Intersect(p, q, 2)
A_1 = Intersect(r, s, 1)
poly1, a_1, z_1, v, u = Polygon(A_1, Z, V, U)
B_1 = (0.4252566398428197, 0.01974697141537332)
C_1 = Point(Circle[B_1, n2])
t = Segment(B_1, C_1)
c_1 = Circle(B_1, 1)
d_1 = Circle(C_1, 1)
D_1 = Intersect(c_1, d_1, 1)
poly2, c_2, d_2, b_1 = Polygon(D_1, B_1, C_1)
F_1 = Point(Circle[E_1, n2])
e_1 = Segment(E_1, F_1)
n3 = 2.23606797749979
f_1 = Circle(E_1, n4)
g_1 = Circle(F_1, n4)
G_1 = Intersect(f_1, g_1, 1)
poly3, f_2, g_2, e_2 = Polygon(G_1, E_1, F_1)
H_1 = (-3.084643955059809, -2.1449484882852925)
I_1 = Point(Circle[H_1, n1])
h_1 = Segment(H_1, I_1)
k_1 = Circle(H_1, 2)
p_1 = Circle(I_1, 2)
J_1 = Intersect(k_1, p_1, 1)
poly4, i_1, j_1, h_2 = Polygon(J_1, H_1, I_1)
K_1 = (-3.050745162249349, 2.035110245945805)
L_1 = Point(Circle[K_1, 2])
l_1 = Segment(K_1, L_1)
q_1 = Circle(K_1, n4)
r_1 = Circle(L_1, n4)
M_1 = Intersect(q_1, r_1, 1)
poly5, l_2, m_1, k_2 = Polygon(M_1, K_1, L_1)
N_1 = (-0.14914812377925712, 1.9248194084945647)
O_1 = Point(Circle[N_1, 2])
a = Segment(N_1, O_1)
P_1 = (0.10841818181818187, -2.1464363636363637)
Q_1 = Point(Circle[P_1, 2])
n_1 = Segment(P_1, Q_1)
s_1 = Circle(P_1, n4)
t_1 = Circle(Q_1, n4)
p_2 = Circle(P_1, 0.51)
R_1 = Intersect(p_2, n_1, 1)
a_2 = OrthogonalLine(R_1, n_1)
S_1 = Intersect(s_1, a_2, 2)
q_2 = Circle(S_1, 1)
T_1 = Intersect(t_1, q_2, 2)
poly6, s_2, p_3, q_3, t_2 = Polygon(S_1, P_1, Q_1, T_1)
A = (1, 1, 0)
B = (1, -1, 0)
C = (-1, 1, 0)
D = (-1, -1, 0)
E = (0, 0, 1.4142135623730951)
b = Segment(D, B)
c = Segment(B, A)
d = Segment(A, C)
e = Segment(C, D)
f = Segment(D, E)
g = Segment(E, B)
h = Segment(A, E)
i = Segment(E, C)
F = Midpoint(f)
G = Midpoint(e)
H = Midpoint(i)
I = Midpoint(d)
J = Midpoint(g)
K = Midpoint(h)
L = Midpoint(b)
M = Midpoint(c)