1

\frac{1}{3}

\frac{1}{3}

\frac{1}{3}

\frac{155+\sqrt{15}}{1200}

\frac{155-\sqrt{15}}{1200}

\frac{9}{40}

h

h

h

k

k

k

a)

b)

c)

(-1,-1)

(1,1)

\frac{1}{2π} ℯ ^{-\frac{x^2+y^2}{2}}

A = (1, 1)
B = (5, 1)
C: (1, 5)
D = (6, 1)
E = (10, 1)
F: (6, 5)
G = (11, 1)
H = (15, 1)
I: (11, 5)
d1, b, c, a = Polygon(C, A, B)
d2, e, f, d = Polygon(F, D, E)
d3, h, i, g = Polygon(I, G, H)
J: (7 / 3, 2)
K = Point(f)
L: (8, 3)
M: (6, 2.5)
N: (37 / 3, 7 / 3)
O: (11 + ((6 + 15^(1 / 2)) * 4 / 21), 1 + ((6 + 15^(1 / 2)) * 4 / 21))
P: (11 + ((9 - (2 * 15^(1 / 2))) * 4 / 21), 1 + ((6 + 15^(1 / 2)) * 4 / 21))
Q = (12.912098031463083, 1.2698251857115368)
R: (11 + ((6 - 15^(1 / 2)) * 4 / 21), 1 + ((6 - 15^(1 / 2)) * 4 / 21))
S: (11 + ((6 - 15^(1 / 2)) * 4 / 21), 1 + ((9 + (2 * 15^(1 / 2))) * 4 / 21))
T: (11 + ((9 + (2 * 15^(1 / 2))) * 4 / 21), 1 + ((6 - 15^(1 / 2)) * 4 / 21))
W = (13.789808445771813, 2.6885221451589874)
v = Vector(W, Q)
Z = (13.443397681479755, 2.9636852922366215)
w = Vector(Z, O)
V = (12.982610725794911, 3.2846066152957762)
u = Vector(V, P)
U = (12.299597270429844, 0.5401343673743114)
j = Vector(U, S)
A_1 = (11.753186506137789, 0.5152975144519452)
k = Vector(A_1, R)
B_1 = (13.293071387324488, 0.5401343673743114)
l = Vector(B_1, T)
C_1 = Midpoint(C, B)
J' = Mirror(J, C_1)
C' = Mirror(C, C_1)
A' = Mirror(A, C_1)
B' = Mirror(B, C_1)
d1', b', c', a' = Polygon(C', A', B')
M' = Mirror(M, L)
K' = Mirror(K, L)
F' = Mirror(F, L)
D' = Mirror(D, L)
E' = Mirror(E, L)
d2', e', f', d' = Polygon(F', D', E')
D_1 = Midpoint(I, H)
I' = Mirror(I, D_1)
G' = Mirror(G, D_1)
H' = Mirror(H, D_1)
d3', h', i', g' = Polygon(I', G', H')
P' = Mirror(P, D_1)
N' = Mirror(N, D_1)
Q' = Mirror(Q, D_1)
S' = Mirror(S, D_1)
R' = Mirror(R, D_1)
T' = Mirror(T, D_1)
O' = Mirror(O, D_1)
E_1 = (5.01203431339714, 11.699568099588648)
C'_1 = Dilate(C, 0.5, E_1)
A'_1 = Dilate(A, 0.5, E_1)
B'_1 = Dilate(B, 0.5, E_1)
d1'_1, b'_1, c'_1, a'_1 = Polygon(C'_1, A'_1, B'_1)
B'_2 = Dilate(B, 0.5, E_1)
C'_2 = Dilate(C, 0.5, E_1)
F_1 = Midpoint(C'_2, B'_2)
J'_1 = Dilate(J, 0.5, E_1)
G_1 = Mirror(C'_1, F_1)
H_1 = Mirror(A'_1, F_1)
I_1 = Mirror(B'_1, F_1)
d4, i_1, g_1, h_1 = Polygon(G_1, H_1, I_1)
J_1 = Mirror(J'_1, F_1)
A'_2 = Dilate(A, 0.5, E_1)
m = Line(C'_2, A'_2)
L_1 = Mirror(C'_1, b'_1)
M_1 = Mirror(A'_1, b'_1)
N_1 = Mirror(B'_1, b'_1)
d5, n_1, l_1, m_1 = Polygon(L_1, M_1, N_1)
O_1 = Mirror(G_1, b'_1)
P_1 = Mirror(H_1, b'_1)
Q_1 = Mirror(I_1, b'_1)
d4', q_1, o_1, p_1 = Polygon(O_1, P_1, Q_1)
R_1 = Mirror(J'_1, b'_1)
S_1 = Mirror(G_1, b'_1)
T_1 = Mirror(H_1, b'_1)
U_1 = Mirror(I_1, b'_1)
d4'_1, u_1, s_1, t_1 = Polygon(S_1, T_1, U_1)
K_1 = Mirror(J_1, m)
V_1 = Mirror(A'_2, F_1)
n = Line(C'_2, V_1)
W_1 = Mirror(S_1, n)
Z_1 = Mirror(T_1, n)
A_2 = Mirror(U_1, n)
d6, a_2, w_1, z_1 = Polygon(W_1, Z_1, A_2)
B_2 = Mirror(L_1, n)
C_2 = Mirror(M_1, n)
D_2 = Mirror(N_1, n)
d5', d_2, b_2, c_2 = Polygon(B_2, C_2, D_2)
E_2 = Mirror(C'_1, n)
F_2 = Mirror(A'_1, n)
G_2 = Mirror(B'_1, n)
d7, g_2, e_2, f_2 = Polygon(E_2, F_2, G_2)
H_2 = Mirror(G_1, n)
I_2 = Mirror(H_1, n)
J_2 = Mirror(I_1, n)
d4'_2, j_2, h_2, i_2 = Polygon(H_2, I_2, J_2)
K_2 = Mirror(J_1, n)
L_2 = Mirror(K_1, n)
M_2 = Mirror(R_1, n)
N_2 = Mirror(J'_1, n)
O_2 = (11.569501900899386, 3.0634092056923903)
P_2 = (6.02667066843833, 5.111343483612728)
Q_2 = (14.839077703026325, 5.173548709739232)
R_2 = (6.171816196066838, 10.606138458120547)