Koch 曲線

$ Koch\;雪花 $

$ 計算面積的公比 $

$ 計算邊長的公比 $

1

2

$ 在複製的過程中，\;每複製一次就將其中$
$一邊變成4邊，\;故複製n次後，\;多邊形的$
$邊數為\;3\cdot 4^n，\; 而每複製一次，\;邊長變為$
$原來的\frac{1}{3}，\;故複製n次後，\;多邊形的邊長$
$為\left( \frac{1}{3}  \right)^n ，\;因此複製n次後邊長和$
$a_n=3\cdot 4^n\cdot \left( \frac{1}{3}  \right)^n=3\cdot \left(  \frac{4}{3} \right)^n  $

$ 設原來三角形的面積為A_0=\frac{\sqrt{3}}{4} $

$ 複製一次後多邊形面積為$
$A_1=A_0+3\cdot \frac{A_0}{9}$

$ 複製兩次後多邊形面積為$
$A_2=A_0+3\cdot \frac{A_0}{9}+3\cdot 4\cdot \frac{A_0}{9^2}$

 $ 複製三次後多邊形面積為$
$A_3=A_0+3\cdot \frac{A_0}{9}+3\cdot 4\cdot \frac{A_0}{9^2}+3\cdot 4^2\cdot \frac{A_0}{9^3}$ 

$依此類推，複製n次後多邊形的面積為$
$A_n=A_0+\sum_{j=1}^{n}{3\cdot4^{j-1}\cdot \frac{A_0}{9^j} } $

$ =A_0+\frac{A_0}{3}\cdot\frac{1-\left(\frac{4}{9}   \right)^n }{1-\frac{4}{9}} $

$ =A_0+\frac{3}{5}\left [ 1-\left(\frac{4}{9}   \right)^n  \right ]A_0  $

$ =\frac{8}{5}A_0-\frac{3}{5}\left(\frac{4}{9}   \right)^nA_0  $

$ =\frac{2\sqrt{3}}{5}-\frac{3\sqrt{3}}{20} \left(  \frac{4}{9} \right)^n $

$\fgcolor{040037}{∴\sum_{n=1}^{∞}{\frac{1}{a_n} }= \frac{1}{3}\cdot \sum_{n=1}^{∞}\left(  {\frac{3}{4}  \right) ^n}}$

$ \lim_{ n \to \infty } A_n=\frac{2\sqrt{3}}{5}$

$=\frac{1}{3}\cdot \frac{\frac{3}{4}}{1-\frac{3}{4}}=1$

O: 1 / 2 * (Corner[1] + Corner[3]) + (7, 0)
c = Circle(O, 3 / 6 * (y(Corner[3]) - y(Corner[2])))
A = Point(c)
D = Point(c)
Poly1, b, a_1, d, E = Polygon(A, D, 3)
A_1: 1 / 3 * E + 2 / 3 * A
A_2: 1 / 3 * A + 2 / 3 * E
A_3: 1 / 3 * D + 2 / 3 * E
A_4: 1 / 3 * E + 2 / 3 * D
A_5: 1 / 3 * D + 2 / 3 * A
A_6: 1 / 3 * A + 2 / 3 * D
n = 0 (slider from 0 to If[o ≟ true, 4, 10], step 1)
多邊形2, a, a_6, a_5, B = Polygon(A_6, A_5, 3)
多邊形3, e, a_2, a_3, C = Polygon(A_1, A_2, 3)
多邊形4, f, a_4, a_7, F = Polygon(A_3, A_4, 3)
A_7: 1 / 3 * A_5 + 2 / 3 * B
A_8: 1 / 3 * B + 2 / 3 * A_5
A_9: 1 / 3 * B + 2 / 3 * A_6
A_10: 1 / 3 * A_6 + 2 / 3 * B
g = Segment(B, E)
i = Segment(D, C)
G = Mirror(A_9, i)
H = Mirror(A_10, i)
I = Mirror(A_8, i)
J = Mirror(A_7, i)
I'_1 = Mirror(I, g)
J'_1 = Mirror(J, g)
G'_1 = Mirror(G, g)
H'_1 = Mirror(H, g)
B'_1 = Mirror(B, i)
K = Mirror(A_6, i)
h = Segment(B'_1, K)
L = Mirror(A_5, i)
B' = Mirror(B, i)
j = Segment(L, B')
M = Mirror(A_6, i)
N = Mirror(A_5, i)
a' = Segment(M, N)
P = Mirror(A_7, i)
Q = Mirror(A_8, i)
R = Mirror(A_9, i)
S = Mirror(A_10, i)
k = Segment(A_6, A_2)
l = Segment(A, B')
C'_1 = Mirror(C, k)
T = Mirror(A_1, k)
m = Segment(C'_1, T)
U = Mirror(A_2, k)
D_4 = Mirror(C, k)
p = Segment(U, D_4)
D_9 = Mirror(A_1, k)
D_5 = Mirror(A_2, k)
e'_1 = Segment(D_9, D_5)
D_2 = Mirror(I'_1, k)
D_3 = Mirror(J'_1, k)
D_8 = Mirror(G'_1, k)
D_6 = Mirror(H'_1, k)
I''' = Mirror(D_2, l)
J''' = Mirror(D_3, l)
G''' = Mirror(D_8, l)
H''' = Mirror(D_6, l)
G' = Mirror(G, k)
H' = Mirror(H, k)
I'_2 = Mirror(I, k)
J'_2 = Mirror(J, k)
P'_1 = Mirror(P, k)
Q'_1 = Mirror(Q, k)
R' = Mirror(R, k)
S' = Mirror(S, k)
多邊形5, q, j'''_1, i'''_1, Z = Polygon(J''', I''', 3)
Z'_1 = Mirror(Z, k)
Z''_1 = Mirror(Z'_1, g)
Z'''_1 = Mirror(Z''_1, l)
Z' = Mirror(Z, g)
Z''_2 = Mirror(Z', l)
Z''' = Mirror(Z''_2, k)
Z'' = Mirror(Z', k)
D_7 = Mirror(Z'''_1, k)
C_1 = Mirror(Z'''_1, i)
D_1 = Mirror(D_7, g)
多邊形6, a_9, z'_1, a_10 = Polygon(Z'_1, A_10, A_9)
多邊形7, z''_1, a_8, a_{10} = Polygon(A_7, A_8, Z''_1)
多邊形8, z', r', s' = Polygon(R', S', Z')
多邊形9, q', p'_1, z''_2 = Polygon(P'_1, Z''_2, Q'_1)
多邊形10, z'''_1, g'_1, h'_1 = Polygon(G'_1, H'_1, Z'''_1)
多邊形11, i'_1, j'_1, c_1 = Polygon(J'_1, C_1, I'_1)
多邊形12, j'', i'', d_1 = Polygon(D_2, D_1, D_3)
多邊形13, g'', b_1, h'' = Polygon(D_7, D_6, D_8)
多邊形14, p_1, q_1, z''' = Polygon(Q, Z''', P)
多邊形15, r, z'', s = Polygon(Z'', S, R)
E_1 = Mirror(D_7, l)
多邊形16, e_1, h'''_1, g'''_1 = Polygon(H''', G''', E_1)
D_20: 1 / 3 * D_1 + 2 / 3 * D_2
D_21: 1 / 3 * D_2 + 2 / 3 * D_1
D_22: 1 / 3 * D_2 + 2 / 3 * D_5
D_23: 1 / 3 * D_5 + 2 / 3 * D_2
D_24: 1 / 3 * D_3 + 2 / 3 * D_1
D_25: 1 / 3 * D_1 + 2 / 3 * D_3
D_26: 1 / 3 * D_4 + 2 / 3 * D_3
D_27: 1 / 3 * D_3 + 2 / 3 * D_4
V = Mirror(D_1, g)
W = Mirror(D_3, g)
i'''_2 = Segment(V, W)
B_1 = Mirror(D_2, g)
F_1 = Mirror(D_1, g)
j'''_2 = Segment(B_1, F_1)
G_1 = Mirror(D_20, g)
H_1 = Mirror(D_21, g)
I_1 = Mirror(D_23, g)
J_1 = Mirror(D_24, g)
K_1 = Mirror(D_25, g)
L_1 = Mirror(D_26, g)
t = Segment(A_5, D_9)
f_1 = Segment(A_1, M)
M_1 = Mirror(D_27, g)
N_1 = Mirror(D_22, g)
多邊形18, h_1, d_20, d_21, P_1 = Polygon(D_20, D_21, 3)
多邊形19, i_1, d_24, d_25, Q_1 = Polygon(D_24, D_25, 3)
多邊形20, j_1, d_26, d_27, R_1 = Polygon(D_26, D_27, 3)
T_1 = Mirror(P_1, g)
U_1 = Mirror(Q_1, g)
V_1 = Mirror(R_1, g)
W_1 = Mirror(D_8, t)
Z_1 = Mirror(D_7, t)
h'''_2 = Segment(W_1, Z_1)
B_2 = Mirror(D_6, t)
C_2 = Mirror(D_8, t)
k_1 = Segment(B_2, C_2)
E_2 = Mirror(D_7, t)
F_2 = Mirror(D_6, t)
g'''_2 = Segment(E_2, F_2)
V'_1 = Mirror(V, t)
W'_1 = Mirror(W, t)
l_1 = Segment(V'_1, W'_1)
G_2 = Mirror(B_1, t)
H_2 = Mirror(F_1, t)
m_1 = Segment(G_2, H_2)
E'_1 = Mirror(E, t)
I_2 = Mirror(C'_1, t)
J_2 = Mirror(D_4, t)
K_2 = Mirror(G_1, t)
L_2 = Mirror(H_1, t)
M_2 = Mirror(I_1, t)
N_2 = Mirror(J_1, t)
O_2 = Mirror(K_1, t)
P_2 = Mirror(L_1, t)
Q_2 = Mirror(M_1, t)
R_2 = Mirror(N_1, t)
T_2 = Mirror(T_1, t)
U_2 = Mirror(U_1, t)
V_2 = Mirror(V_1, t)
W_2 = Mirror(C'_1, k)
T'_1 = Mirror(T, k)
m'_1 = Segment(W_2, T'_1)
Z_2 = Mirror(D_1, k)
B_3 = Mirror(D_3, k)
i'''_3 = Segment(Z_2, B_3)
C_3 = Mirror(D_2, k)
E_3 = Mirror(D_1, k)
j'''_3 = Segment(C_3, E_3)
F_3 = Mirror(D_8, k)
G_3 = Mirror(D_7, k)
h'''_3 = Segment(F_3, G_3)
H_3 = Mirror(D_6, k)
I_3 = Mirror(D_8, k)
n_1 = Segment(H_3, I_3)
J_3 = Mirror(D_7, k)
K_3 = Mirror(D_6, k)
g'''_3 = Segment(J_3, K_3)
P'_2 = Mirror(P, k)
Q'_2 = Mirror(Q, k)
r_1 = Segment(P'_2, Q'_2)
L_3 = Mirror(Z''', k)
P'_3 = Mirror(P, k)
s_1 = Segment(L_3, P'_3)
Q'_3 = Mirror(Q, k)
M_3 = Mirror(Z''', k)
t_1 = Segment(Q'_3, M_3)
V'_2 = Mirror(V, k)
W'_2 = Mirror(W, k)
b_2 = Segment(V'_2, W'_2)
N_3 = Mirror(B_1, k)
O_3 = Mirror(F_1, k)
c_2 = Segment(N_3, O_3)
Q_3 = Mirror(D_22, k)
R_3 = Mirror(D_23, k)
T_3 = Mirror(D_22, k)
U_3 = Mirror(D_23, k)
f_2 = Segment(T_3, U_3)
V_3 = Mirror(P_1, k)
W_3 = Mirror(D_20, k)
g_2 = Segment(V_3, W_3)
Z_3 = Mirror(D_21, k)
C_4 = Mirror(D_20, k)
E_4 = Mirror(D_21, k)
i_2 = Segment(C_4, E_4)
F_4 = Mirror(Q_1, k)
G_4 = Mirror(D_24, k)
j_2 = Segment(F_4, G_4)
H_4 = Mirror(D_25, k)
J_4 = Mirror(D_24, k)
K_4 = Mirror(D_25, k)
l_2 = Segment(J_4, K_4)
L_4 = Mirror(R_1, k)
M_4 = Mirror(D_26, k)
m_2 = Segment(L_4, M_4)
N_4 = Mirror(D_27, k)
P_4 = Mirror(D_26, k)
Q_4 = Mirror(D_27, k)
p_2 = Segment(P_4, Q_4)
R_4 = Mirror(W_1, k)
S_4 = Mirror(Z_1, k)
q_2 = Segment(R_4, S_4)
T_4 = Mirror(B_2, k)
U_4 = Mirror(C_2, k)
r_2 = Segment(T_4, U_4)
V_4 = Mirror(E_2, k)
W_4 = Mirror(F_2, k)
s_2 = Segment(V_4, W_4)
Z_4 = Mirror(V'_1, k)
B_5 = Mirror(W'_1, k)
t_2 = Segment(Z_4, B_5)
C_5 = Mirror(G_2, k)
E_5 = Mirror(H_2, k)
b_3 = Segment(C_5, E_5)
E'_2 = Mirror(E, k)
F_5 = Mirror(A_3, k)
I'_3 = Mirror(I, k)
J'_3 = Mirror(J, k)
L'_1 = Mirror(L, k)
N'_1 = Mirror(N, k)
G_5 = Mirror(D_4, k)
H_5 = Mirror(D_9, k)
I_5 = Mirror(G_1, k)
J_5 = Mirror(H_1, k)
K_5 = Mirror(I_1, k)
L_5 = Mirror(J_1, k)
M_5 = Mirror(K_1, k)
N_5 = Mirror(L_1, k)
O_5 = Mirror(M_1, k)
P_5 = Mirror(N_1, k)
R_5 = Mirror(T_1, k)
S_5 = Mirror(U_1, k)
T_5 = Mirror(V_1, k)
U_5 = Mirror(K_2, k)
V_5 = Mirror(L_2, k)
W_5 = Mirror(M_2, k)
Z_5 = Mirror(N_2, k)
B_6 = Mirror(O_2, k)
C_6 = Mirror(P_2, k)
E_6 = Mirror(R_2, k)
G_6 = Mirror(T_2, k)
H_6 = Mirror(U_2, k)
I_6 = Mirror(Q_2, k)
C'_2 = Mirror(C, l)
J_6 = Mirror(A_1, l)
c_3 = Segment(C'_2, J_6)
K_6 = Mirror(A_2, l)
C' = Mirror(C, l)
d_3 = Segment(K_6, C')
L_6 = Mirror(A_1, l)
M_6 = Mirror(A_2, l)
e' = Segment(L_6, M_6)
N_6 = Mirror(C'_1, l)
T' = Mirror(T, l)
m' = Segment(N_6, T')
U' = Mirror(U, l)
O_6 = Mirror(D_4, l)
p' = Segment(U', O_6)
P_6 = Mirror(D_9, l)
Q_6 = Mirror(D_5, l)
e_3 = Segment(P_6, Q_6)
R_6 = Mirror(Q'_1, l)
S_6 = Mirror(P'_1, l)
f_3 = Segment(R_6, S_6)
T_6 = Mirror(Z''_2, l)
U_6 = Mirror(Q'_1, l)
g_3 = Segment(T_6, U_6)
V_6 = Mirror(P'_1, l)
W_6 = Mirror(Z''_2, l)
q'' = Segment(V_6, W_6)
Z_6 = Mirror(Z'''_1, l)
B_7 = Mirror(G'_1, l)
h_3 = Segment(Z_6, B_7)
C_7 = Mirror(H'_1, l)
E_7 = Mirror(Z'''_1, l)
i_3 = Segment(C_7, E_7)
F_7 = Mirror(G'_1, l)
G_7 = Mirror(H'_1, l)
j_3 = Segment(F_7, G_7)
H_7 = Mirror(I'_1, l)
I_7 = Mirror(J'_1, l)
k_3 = Segment(H_7, I_7)
J_7 = Mirror(C_1, l)
K_7 = Mirror(I'_1, l)
l_3 = Segment(J_7, K_7)
L_7 = Mirror(J'_1, l)
M_7 = Mirror(C_1, l)
m_3 = Segment(L_7, M_7)
N_7 = Mirror(D_1, l)
O_7 = Mirror(D_3, l)
i''' = Segment(N_7, O_7)
P_7 = Mirror(D_2, l)
Q_7 = Mirror(D_1, l)
j''' = Segment(P_7, Q_7)
R_7 = Mirror(D_8, l)
S_7 = Mirror(D_7, l)
h''' = Segment(R_7, S_7)
T_7 = Mirror(D_6, l)
U_7 = Mirror(D_8, l)
n_3 = Segment(T_7, U_7)
V_7 = Mirror(D_7, l)
W_7 = Mirror(D_6, l)
g''' = Segment(V_7, W_7)
P'_4 = Mirror(P, l)
Q'_4 = Mirror(Q, l)
p_3 = Segment(P'_4, Q'_4)
Z_7 = Mirror(Z''', l)
P' = Mirror(P, l)
q_3 = Segment(Z_7, P')
Q' = Mirror(Q, l)
B_8 = Mirror(Z''', l)
r_3 = Segment(Q', B_8)
V' = Mirror(V, l)
W' = Mirror(W, l)
s_3 = Segment(V', W')
C_8 = Mirror(B_1, l)
E_8 = Mirror(F_1, l)
t_3 = Segment(C_8, E_8)
G_8 = Mirror(D_22, l)
H_8 = Mirror(D_23, l)
J_8 = Mirror(D_22, l)
K_8 = Mirror(D_23, l)
d_4 = Segment(J_8, K_8)
L_8 = Mirror(P_1, l)
M_8 = Mirror(D_20, l)
e_4 = Segment(L_8, M_8)
N_8 = Mirror(D_21, l)
O_8 = Mirror(P_1, l)
f_4 = Segment(N_8, O_8)
P_8 = Mirror(D_20, l)
Q_8 = Mirror(D_21, l)
g_4 = Segment(P_8, Q_8)
R_8 = Mirror(Q_1, l)
S_8 = Mirror(D_24, l)
h_4 = Segment(R_8, S_8)
T_8 = Mirror(D_25, l)
U_8 = Mirror(Q_1, l)
i_4 = Segment(T_8, U_8)
V_8 = Mirror(D_24, l)
W_8 = Mirror(D_25, l)
j_4 = Segment(V_8, W_8)
Z_8 = Mirror(R_1, l)
B_9 = Mirror(D_26, l)
k_4 = Segment(Z_8, B_9)
C_9 = Mirror(D_27, l)
E_9 = Mirror(R_1, l)
l_4 = Segment(C_9, E_9)
F_9 = Mirror(D_26, l)
G_9 = Mirror(D_27, l)
m_4 = Segment(F_9, G_9)
H_9 = Mirror(W_1, l)
I_9 = Mirror(Z_1, l)
n_4 = Segment(H_9, I_9)
J_9 = Mirror(B_2, l)
K_9 = Mirror(C_2, l)
p_4 = Segment(J_9, K_9)
L_9 = Mirror(E_2, l)
M_9 = Mirror(F_2, l)
q_4 = Segment(L_9, M_9)
N_9 = Mirror(V'_1, l)
O_9 = Mirror(W'_1, l)
r_4 = Segment(N_9, O_9)
P_9 = Mirror(G_2, l)
Q_9 = Mirror(H_2, l)
s_4 = Segment(P_9, Q_9)
R_9 = Mirror(W_2, l)
S_9 = Mirror(T'_1, l)
t_4 = Segment(R_9, S_9)
T_9 = Mirror(Z_2, l)
U_9 = Mirror(B_3, l)
b_5 = Segment(T_9, U_9)
V_9 = Mirror(C_3, l)
W_9 = Mirror(E_3, l)
c_5 = Segment(V_9, W_9)
Z_9 = Mirror(F_3, l)
A_{10} = Mirror(G_3, l)
d_5 = Segment(Z_9, A_{10})
B_{10} = Mirror(H_3, l)
C_{10} = Mirror(I_3, l)
e_5 = Segment(B_{10}, C_{10})
D_{10} = Mirror(J_3, l)
E_{10} = Mirror(K_3, l)
f_5 = Segment(D_{10}, E_{10})
F_{10} = Mirror(P'_2, l)
G_{10} = Mirror(Q'_2, l)
g_5 = Segment(F_{10}, G_{10})
H_{10} = Mirror(L_3, l)
I_{10} = Mirror(P'_3, l)
h_5 = Segment(H_{10}, I_{10})
J_{10} = Mirror(Q'_3, l)
K_{10} = Mirror(M_3, l)
i_5 = Segment(J_{10}, K_{10})
L_{10} = Mirror(V'_2, l)
M_{10} = Mirror(W'_2, l)
j_5 = Segment(L_{10}, M_{10})
N_{10} = Mirror(N_3, l)
O_{10} = Mirror(O_3, l)
k_5 = Segment(N_{10}, O_{10})
Q_{10} = Mirror(Q_3, l)
R_{10} = Mirror(R_3, l)
T_{10} = Mirror(T_3, l)
U_{10} = Mirror(U_3, l)
n_5 = Segment(T_{10}, U_{10})
V_{10} = Mirror(V_3, l)
W_{10} = Mirror(W_3, l)
p_5 = Segment(V_{10}, W_{10})
Z_{10} = Mirror(Z_3, l)
B_{11} = Mirror(C_4, l)
C_{11} = Mirror(E_4, l)
r_5 = Segment(B_{11}, C_{11})
E_{11} = Mirror(G_4, l)
F_{11} = Mirror(H_4, l)
H_{11} = Mirror(J_4, l)
I_{11} = Mirror(K_4, l)
b_6 = Segment(H_{11}, I_{11})
K_{11} = Mirror(M_4, l)
L_{11} = Mirror(N_4, l)
N_{11} = Mirror(P_4, l)
O_{11} = Mirror(Q_4, l)
e_6 = Segment(N_{11}, O_{11})
P_{11} = Mirror(R_4, l)
Q_{11} = Mirror(S_4, l)
f_6 = Segment(P_{11}, Q_{11})
R_{11} = Mirror(T_4, l)
S_{11} = Mirror(U_4, l)
g_6 = Segment(R_{11}, S_{11})
T_{11} = Mirror(V_4, l)
U_{11} = Mirror(W_4, l)
h_6 = Segment(T_{11}, U_{11})
V_{11} = Mirror(Z_4, l)
W_{11} = Mirror(B_5, l)
i_6 = Segment(V_{11}, W_{11})
Z_{11} = Mirror(C_5, l)
A_{12} = Mirror(E_5, l)
j_6 = Segment(Z_{11}, A_{12})
O' = Mirror(O, l)
E' = Mirror(E, l)
B_{12} = Mirror(A_3, l)
I' = Mirror(I, l)
J' = Mirror(J, l)
L' = Mirror(L, l)
N' = Mirror(N, l)
C_{12} = Mirror(I'_2, l)
D_{12} = Mirror(J'_2, l)
E_{12} = Mirror(G_1, l)
F_{12} = Mirror(H_1, l)
G_{12} = Mirror(I_1, l)
H_{12} = Mirror(J_1, l)
I_{12} = Mirror(K_1, l)
J_{12} = Mirror(L_1, l)
K_{12} = Mirror(M_1, l)
L_{12} = Mirror(N_1, l)
N_{12} = Mirror(T_1, l)
O_{12} = Mirror(U_1, l)
P_{12} = Mirror(V_1, l)
Q_{12} = Mirror(K_2, l)
R_{12} = Mirror(L_2, l)
S_{12} = Mirror(M_2, l)
T_{12} = Mirror(N_2, l)
U_{12} = Mirror(O_2, l)
V_{12} = Mirror(P_2, l)
W_{12} = Mirror(Q_2, l)
Z_{12} = Mirror(R_2, l)
B_{13} = Mirror(T_2, l)
C_{13} = Mirror(U_2, l)
D_{13} = Mirror(V_2, l)
E_{13} = Mirror(E'_2, l)
F_{13} = Mirror(F_5, l)
G_{13} = Mirror(I'_3, l)
H_{13} = Mirror(J'_3, l)
I_{13} = Mirror(L'_1, l)
J_{13} = Mirror(N'_1, l)
K_{13} = Mirror(G_5, l)
L_{13} = Mirror(H_5, l)
M_{13} = Mirror(I_5, l)
N_{13} = Mirror(J_5, l)
O_{13} = Mirror(K_5, l)
P_{13} = Mirror(L_5, l)
Q_{13} = Mirror(M_5, l)
R_{13} = Mirror(N_5, l)
S_{13} = Mirror(O_5, l)
T_{13} = Mirror(P_5, l)
V_{13} = Mirror(R_5, l)
W_{13} = Mirror(S_5, l)
Z_{13} = Mirror(T_5, l)
A_{14} = Mirror(U_5, l)
B_{14} = Mirror(V_5, l)
C_{14} = Mirror(W_5, l)
D_{14} = Mirror(Z_5, l)
E_{14} = Mirror(B_6, l)
F_{14} = Mirror(C_6, l)
G_{14} = Mirror(E_6, l)
I_{14} = Mirror(G_6, l)
J_{14} = Mirror(H_6, l)
K_{14} = Mirror(I_6, l)
L_{14} = Mirror(V_2, k)
M_{14} = Mirror(L_{14}, l)
多邊形21, c_7, l_{14}, i_7 = Polygon(L_{14}, I_6, C_6)
多邊形22, z_5, h_7, b_7 = Polygon(H_6, B_6, Z_5)
多邊形23, u_5, v_5, g_7 = Polygon(V_5, G_6, U_5)
多邊形26, j_7, i_8, r_6 = Polygon(I_5, R_5, J_5)
多邊形27, m_6, l_6, s_6 = Polygon(L_5, S_5, M_5)
多邊形28, t_6, n_6, o_5 = Polygon(N_5, O_5, T_5)
多邊形29, m_7, l_7, v_1 = Polygon(L_1, V_1, M_1)
多邊形30, u_1, k_7, j_8 = Polygon(K_1, J_1, U_1)
多邊形31, h_8, g_8, t_7 = Polygon(G_1, T_1, H_1)
多邊形34, l_8, k_8, t_8 = Polygon(K_2, T_2, L_2)
多邊形35, u_2, n_8, o_2 = Polygon(N_2, O_2, U_2)
多邊形36, v_2, p_7, q_7 = Polygon(P_2, Q_2, V_2)
多邊形37, w_{12}, v_{12}, d_{13} = Polygon(V_{12}, D_{13}, W_{12})
多邊形38, t_{12}, u_{12}, c_{13} = Polygon(U_{12}, C_{13}, T_{12})
多邊形39, q_{12}, r_{12}, b_{13} = Polygon(R_{12}, B_{13}, Q_{12})
多邊形42, n_{12}, e_{12}, f_{12} = Polygon(E_{12}, F_{12}, N_{12})
多邊形43, i_{12}, o_{12}, h_{12} = Polygon(O_{12}, H_{12}, I_{12})
多邊形44, k_{12}, j_{12}, p_{12} = Polygon(J_{12}, P_{12}, K_{12})
多邊形45, f_9, g_9, e_9 = Polygon(G_9, E_9, F_9)
多邊形46, v_8, w_8, u_8 = Polygon(W_8, U_8, V_8)
多邊形47, p_8, q_8, o_8 = Polygon(Q_8, O_8, P_8)
多邊形53, z_{13}, s_{13}, r_{13} = Polygon(S_{13}, R_{13}, Z_{13})
多邊形54, p_{13}, q_{13}, w_{13} = Polygon(Q_{13}, W_{13}, P_{13})
多邊形55, m_{13}, n_{13}, v_{13} = Polygon(N_{13}, V_{13}, M_{13})
多邊形58, b_{14}, a_{14}, i_{14} = Polygon(A_{14}, I_{14}, B_{14})
多邊形59, j_{14}, d_{14}, e_{14} = Polygon(D_{14}, E_{14}, J_{14})
多邊形60, k_{14}, f_{14}, m_{14} = Polygon(F_{14}, M_{14}, K_{14})
多邊形56, f_7, p_9, k_{10}, F_6 = Polygon(P_5, K_5, 3)
多邊形57, n_7, u_3, t_9, F_8 = Polygon(U_3, T_3, 3)
多邊形24, c_4, v_3, e_2 = Polygon(V_3, E_4, C_4)
多邊形25, j_9, f_8, k_2 = Polygon(F_4, K_4, J_4)
多邊形32, q_5, l_9, p_6 = Polygon(L_4, P_4, Q_4)
多邊形33, c_{11}, v_{10}, b_{11} = Polygon(V_{10}, B_{11}, C_{11})
多邊形65, t_5, f_{10}, u_4 = Polygon(F_8, U_3, T_3)
多邊形17, g_1, n_{11}, o_{11}, O_1 = Polygon(N_{11}, O_{11}, 3)
多邊形40, d_2, h_{11}, i_{11}, S_1 = Polygon(H_{11}, I_{11}, 3)
多邊形50, h_2, t_{10}, u_{10}, S_2 = Polygon(T_{10}, U_{10}, 3)
多邊形51, n_2, k_6, j_{10}, B_4 = Polygon(K_8, J_8, 3)
多邊形52, b_4, d_22, d_23, I_4 = Polygon(D_22, D_23, 3)
多邊形61, l_5, i_9, n_9, O_4 = Polygon(I_1, N_1, 3)
多邊形62, s_5, r_7, m_8, I_8 = Polygon(R_2, M_2, 3)
多邊形63, c_6, s_{12}, z_{12}, P_{10} = Polygon(S_{12}, Z_{12}, 3)
多邊形64, d_6, l_{12}, g_{12}, S_{10} = Polygon(L_{12}, G_{12}, 3)
多邊形41, m_5, o_{13}, t_{13}, P_3 = Polygon(O_{13}, T_{13}, 3)
多邊形48, q_6, g_{14}, c_{14}, S_3 = Polygon(G_{14}, C_{14}, 3)
多邊形49, d_7, w_5, e_7, Q_5 = Polygon(W_5, E_6, 3)
Q_a: 0.6 * Corner[1] + 0.4 * Corner[2]
Q_b: (x(Q_a), y(Corner[3]))
s_7 = Segment(Q_a, Q_b)
A_{11} = (-41.79164696212408, 111.40938214209355)
D_{11}: A_{11} + (12, 0)
G_{11}: 1 / 3 * A_{11} + 2 / 3 * D_{11}
J_{11}: 2 / 3 * A_{11} + 1 / 3 * D_{11}
b_8 = Segment(A_{11}, J_{11})
c_8 = Segment(G_{11}, D_{11})
α = 1.0471975511965976 rad (slider from 0*° to 60*°, step 0.01*°)
M_{11} = Rotate(G_{11}, α, J_{11})
M_{12} = Rotate(G_{11}, α, J_{11})
A_{13} = Rotate(J_{11}, -α, G_{11})
d_8 = Segment(A_{13}, G_{11})
e_8 = Segment(M_{11}, J_{11})
o = true
u = false
U_{13} = (-42.07236252500674, 114.9739119073412)
poly_2, r_8, s_8, b_9, c_9 = Polygon(Q_a, Corner[2], Corner[3], Q_b)