Finding Equivalent Fractions Task
Author: Emily Stempkowski
Date: February 27, 2012

One whole

Fraction Tiles

La \space  bande \space rose \space vaut \space une \space unité \space ; combien \space  valent \space les  \space autres ?

Bande unité = 1 u

e

ev

A = (4, 6)
B = (5, 6)
a = Segment(A, B)
c = OrthogonalLine(B, a)
d = Circle(B, A)
C = Intersect(d, c, 2)
e = OrthogonalLine(A, a)
f = Circle(A, B)
D = Intersect(f, e, 2)
E = Intersect(d, c, 2)
F = Intersect(d, c, 2)
H = Intersect(f, e, 2)
poly1, g, h, i, j = Polygon(A, B, C, D)
G = (5, 4)
I = (7, 4)
b = Segment(G, I)
k = OrthogonalLine(I, b)
J = Point(k)
l = Line(J, b)
m = OrthogonalLine(G, b)
K = Intersect(l, m)
poly2, g_1, i_1, j_1, k_1 = Polygon(G, I, J, K)
L = (-2, 0)
M = (10, 0)
N = (-2, 0.5)
O = (-2, -0.5)
P = (10, 0.5)
Q = (10, -0.5)
R = (0, 6)
S = (3, 6)
s = Segment(R, S)
t = OrthogonalLine(S, s)
T = Point(t)
a_1 = Line(T, s)
b_1 = OrthogonalLine(R, s)
U = Intersect(b_1, a_1)
poly3, r_1, s_1, t_1, u = Polygon(R, S, T, U)
V = (6, 6)
W = (10, 6)
c_1 = Segment(V, W)
f_1 = OrthogonalLine(V, c_1)
B_1 = (8, 4)
C_1 = (14, 4)
h_1 = Segment(B_1, C_1)
l_1 = OrthogonalLine(C_1, h_1)
D_1 = Point(l_1)
m_1 = Line(D_1, h_1)
n_1 = OrthogonalLine(B_1, h_1)
E_1 = Intersect(n_1, m_1)
poly5, b_2, c_2, d_2, e_2 = Polygon(B_1, C_1, D_1, E_1)
B_2 = (8, 4)
C_2 = (14, 4)
h_2 = Segment(B_2, C_2)
l_2 = OrthogonalLine(C_2, h_2)
D_2 = Point(l_2)
m_2 = Line(D_2, h_2)
n_2 = OrthogonalLine(B_2, h_2)
E_2 = Intersect(n_2, m_2)
poly5_1, b_3, c_3, d_3, e_3 = Polygon(B_2, C_2, D_2, E_2)
B_3 = (8, 4)
C_3 = (14, 4)
h_3 = Segment(B_3, C_3)
l_3 = OrthogonalLine(C_3, h_3)
D_3 = Point(l_3)
m_3 = Line(D_3, h_3)
n_3 = OrthogonalLine(B_3, h_3)
E_3 = Intersect(n_3, m_3)
poly5_2, b_4, c_4, d_4, e_4 = Polygon(B_3, C_3, D_3, E_3)
V_1: V
W_1: W
c_5 = Segment(V_1, W_1)
d_5 = OrthogonalLine(W_1, c_5)
Z_1 = Point(d_5)
e_5 = Line(Z_1, c_5)
f_2 = OrthogonalLine(V_1, c_5)
A_2 = Intersect(e_5, f_2)
V_2: V
W_2: W
c_6 = Segment(V_2, W_2)
d_6 = OrthogonalLine(W_2, c_6)
Z_2 = Point(d_6)
e_6 = Line(Z_2, c_6)
f_3 = OrthogonalLine(V_2, c_6)
A_3 = Intersect(e_6, f_3)
V_3 = (6, 6)
W_3 = (10, 6)
c_7 = Segment(V_3, W_3)
d_7 = OrthogonalLine(W_3, c_7)
Z_3 = Point(d_7)
e_7 = Line(Z_3, c_7)
f_4 = OrthogonalLine(V_3, c_7)
A_4 = Intersect(e_7, f_4)
poly4_1, v_1, w_1, z_1, a_3 = Polygon(V_3, W_3, Z_3, A_4)
V_4 = (6, 6)
W_4 = (10, 6)
c_8 = Segment(V_4, W_4)
d_8 = OrthogonalLine(W_4, c_8)
Z_4 = Point(d_8)
e_8 = Line(Z_4, c_8)
f_5 = OrthogonalLine(V_4, c_8)
A_5 = Intersect(e_8, f_5)
poly4_2, v_2, w_2, z_2, a_4 = Polygon(V_4, W_4, Z_4, A_5)
V_5 = (6, 6)
W_5 = (10, 6)
c_9 = Segment(V_5, W_5)
d_9 = OrthogonalLine(W_5, c_9)
Z_5 = Point(d_9)
e_9 = Line(Z_5, c_9)
f_6 = OrthogonalLine(V_5, c_9)
A_6 = Intersect(e_9, f_6)
poly4_3, v_3, w_3, z_3, a_5 = Polygon(V_5, W_5, Z_5, A_6)
V_6 = (6, 6)
W_6 = (10, 6)
c_{10} = Segment(V_6, W_6)
d_{10} = OrthogonalLine(W_6, c_{10})
Z_6 = Point(d_{10})
e_{10} = Line(Z_6, c_{10})
f_7 = OrthogonalLine(V_6, c_{10})
A_7 = Intersect(e_{10}, f_7)
poly4_4, v_4, w_4, z_4, a_6 = Polygon(V_6, W_6, Z_6, A_7)
A_8 = (4, 6)
B_4 = (5, 6)
a_7 = Segment(A_8, B_4)
c_{11} = OrthogonalLine(B_4, a_7)
d_{11} = Circle(B_4, A_8)
C_4 = Intersect(d_{11}, c_{11}, 2)
e_{11} = OrthogonalLine(A_8, a_7)
f_8 = Circle(A_8, B_4)
D_4 = Intersect(f_8, e_{11}, 2)
poly1_1, g_2, h_4, i_2, j_2 = Polygon(A_8, B_4, C_4, D_4)
A_9 = (4, 6)
B_5 = (5, 6)
a_8 = Segment(A_9, B_5)
c_{12} = OrthogonalLine(B_5, a_8)
d_{12} = Circle(B_5, A_9)
C_5 = Intersect(d_{12}, c_{12}, 2)
e_{12} = OrthogonalLine(A_9, a_8)
f_9 = Circle(A_9, B_5)
D_5 = Intersect(f_9, e_{12}, 2)
poly1_2, g_3, h_5, i_3, j_3 = Polygon(A_9, B_5, C_5, D_5)
A_{10} = (4, 6)
B_6 = (5, 6)
a_9 = Segment(A_{10}, B_6)
c_{13} = OrthogonalLine(B_6, a_9)
d_{13} = Circle(B_6, A_{10})
C_6 = Intersect(d_{13}, c_{13}, 2)
e_{13} = OrthogonalLine(A_{10}, a_9)
f_{10} = Circle(A_{10}, B_6)
D_6 = Intersect(f_{10}, e_{13}, 2)
poly1_3, g_4, h_6, i_4, j_4 = Polygon(A_{10}, B_6, C_6, D_6)
A_{11} = (4, 6)
B_7 = (5, 6)
a_{10} = Segment(A_{11}, B_7)
c_{14} = OrthogonalLine(B_7, a_{10})
d_{14} = Circle(B_7, A_{11})
C_7 = Intersect(d_{14}, c_{14}, 2)
e_{14} = OrthogonalLine(A_{11}, a_{10})
f_{11} = Circle(A_{11}, B_7)
D_7 = Intersect(f_{11}, e_{14}, 2)
poly1_4, g_5, h_7, i_5, j_5 = Polygon(A_{11}, B_7, C_7, D_7)
A_{12} = (4, 6)
B_8 = (5, 6)
a_{11} = Segment(A_{12}, B_8)
c_{15} = OrthogonalLine(B_8, a_{11})
d_{15} = Circle(B_8, A_{12})
C_8 = Intersect(d_{15}, c_{15}, 2)
e_{15} = OrthogonalLine(A_{12}, a_{11})
f_{12} = Circle(A_{12}, B_8)
D_8 = Intersect(f_{12}, e_{15}, 2)
poly1_5, g_6, h_8, i_6, j_6 = Polygon(A_{12}, B_8, C_8, D_8)
A_{13} = (4, 6)
B_9 = (5, 6)
a_{12} = Segment(A_{13}, B_9)
c_{16} = OrthogonalLine(B_9, a_{12})
d_{16} = Circle(B_9, A_{13})
C_9 = Intersect(d_{16}, c_{16}, 2)
e_{16} = OrthogonalLine(A_{13}, a_{12})
f_{13} = Circle(A_{13}, B_9)
D_9 = Intersect(f_{13}, e_{16}, 2)
poly1_6, g_7, h_9, i_7, j_7 = Polygon(A_{13}, B_9, C_9, D_9)
A_{14} = (4, 6)
B_{10} = (5, 6)
a_{13} = Segment(A_{14}, B_{10})
c_{17} = OrthogonalLine(B_{10}, a_{13})
d_{17} = Circle(B_{10}, A_{14})
C_{10} = Intersect(d_{17}, c_{17}, 2)
e_{17} = OrthogonalLine(A_{14}, a_{13})
f_{14} = Circle(A_{14}, B_{10})
D_{10} = Intersect(f_{14}, e_{17}, 2)
poly1_7, g_8, h_{10}, i_8, j_8 = Polygon(A_{14}, B_{10}, C_{10}, D_{10})
A_{15} = (4, 6)
B_{11} = (5, 6)
a_{14} = Segment(A_{15}, B_{11})
c_{18} = OrthogonalLine(B_{11}, a_{14})
d_{18} = Circle(B_{11}, A_{15})
C_{11} = Intersect(d_{18}, c_{18}, 2)
e_{18} = OrthogonalLine(A_{15}, a_{14})
f_{15} = Circle(A_{15}, B_{11})
D_{11} = Intersect(f_{15}, e_{18}, 2)
poly1_8, g_9, h_{11}, i_9, j_9 = Polygon(A_{15}, B_{11}, C_{11}, D_{11})
A_{16} = (4, 6)
B_{12} = (5, 6)
a_{15} = Segment(A_{16}, B_{12})
c_{19} = OrthogonalLine(B_{12}, a_{15})
d_{19} = Circle(B_{12}, A_{16})
C_{12} = Intersect(d_{19}, c_{19}, 2)
e_{19} = OrthogonalLine(A_{16}, a_{15})
f_{16} = Circle(A_{16}, B_{12})
D_{12} = Intersect(f_{16}, e_{19}, 2)
poly1_9, g_{10}, h_{12}, i_{10}, j_{10} = Polygon(A_{16}, B_{12}, C_{12}, D_{12})
A_{17} = (4, 6)
B_{13} = (5, 6)
a_{16} = Segment(A_{17}, B_{13})
c_{20} = OrthogonalLine(B_{13}, a_{16})
d_{20} = Circle(B_{13}, A_{17})
C_{13} = Intersect(d_{20}, c_{20}, 2)
e_{20} = OrthogonalLine(A_{17}, a_{16})
f_{17} = Circle(A_{17}, B_{13})
D_{13} = Intersect(f_{17}, e_{20}, 2)
poly1_{10}, g_{11}, h_{13}, i_{11}, j_{11} = Polygon(A_{17}, B_{13}, C_{13}, D_{13})
A_{18} = (4, 6)
B_{14} = (5, 6)
a_{17} = Segment(A_{18}, B_{14})
c_{21} = OrthogonalLine(B_{14}, a_{17})
d_{21} = Circle(B_{14}, A_{18})
C_{14} = Intersect(d_{21}, c_{21}, 2)
e_{21} = OrthogonalLine(A_{18}, a_{17})
f_{18} = Circle(A_{18}, B_{14})
D_{14} = Intersect(f_{18}, e_{21}, 2)
poly1_{11}, g_{12}, h_{14}, i_{12}, j_{12} = Polygon(A_{18}, B_{14}, C_{14}, D_{14})
A_{19} = (4, 6)
B_{15} = (5, 6)
a_{18} = Segment(A_{19}, B_{15})
c_{22} = OrthogonalLine(B_{15}, a_{18})
d_{22} = Circle(B_{15}, A_{19})
C_{15} = Intersect(d_{22}, c_{22}, 2)
e_{22} = OrthogonalLine(A_{19}, a_{18})
f_{19} = Circle(A_{19}, B_{15})
D_{15} = Intersect(f_{19}, e_{22}, 2)
poly1_{12}, g_{13}, h_{15}, i_{13}, j_{13} = Polygon(A_{19}, B_{15}, C_{15}, D_{15})
A_{20} = (4, 6)
B_{16} = (5, 6)
a_{19} = Segment(A_{20}, B_{16})
c_{23} = OrthogonalLine(B_{16}, a_{19})
d_{23} = Circle(B_{16}, A_{20})
C_{16} = Intersect(d_{23}, c_{23}, 2)
e_{23} = OrthogonalLine(A_{20}, a_{19})
f_{20} = Circle(A_{20}, B_{16})
D_{16} = Intersect(f_{20}, e_{23}, 2)
poly1_{13}, g_{14}, h_{16}, i_{14}, j_{14} = Polygon(A_{20}, B_{16}, C_{16}, D_{16})
G_1 = (5, 4)
I_1 = (7, 4)
b_5 = Segment(G_1, I_1)
k_3 = OrthogonalLine(I_1, b_5)
J_1 = Point(k_3)
l_4 = Line(J_1, b_5)
m_4 = OrthogonalLine(G_1, b_5)
K_1 = Intersect(l_4, m_4)
poly2_1, g_{15}, i_{15}, j_{15}, k_2 = Polygon(G_1, I_1, J_1, K_1)
G_2 = (5, 4)
I_2 = (7, 4)
b_6 = Segment(G_2, I_2)
k_5 = OrthogonalLine(I_2, b_6)
J_2 = Point(k_5)
l_5 = Line(J_2, b_6)
m_5 = OrthogonalLine(G_2, b_6)
K_2 = Intersect(l_5, m_5)
poly2_2, g_{16}, i_{16}, j_{16}, k_4 = Polygon(G_2, I_2, J_2, K_2)
G_3 = (5, 4)
I_3 = (7, 4)
b_7 = Segment(G_3, I_3)
k_7 = OrthogonalLine(I_3, b_7)
J_3 = Point(k_7)
l_6 = Line(J_3, b_7)
m_6 = OrthogonalLine(G_3, b_7)
K_3 = Intersect(l_6, m_6)
poly2_3, g_{17}, i_{17}, j_{17}, k_6 = Polygon(G_3, I_3, J_3, K_3)
G_4 = (5, 4)
I_4 = (7, 4)
b_8 = Segment(G_4, I_4)
k_9 = OrthogonalLine(I_4, b_8)
J_4 = Point(k_9)
l_7 = Line(J_4, b_8)
m_7 = OrthogonalLine(G_4, b_8)
K_4 = Intersect(l_7, m_7)
poly2_4, g_{18}, i_{18}, j_{18}, k_8 = Polygon(G_4, I_4, J_4, K_4)
G_5 = (5, 4)
I_5 = (7, 4)
b_9 = Segment(G_5, I_5)
k_{11} = OrthogonalLine(I_5, b_9)
J_5 = Point(k_{11})
l_8 = Line(J_5, b_9)
m_8 = OrthogonalLine(G_5, b_9)
K_5 = Intersect(l_8, m_8)
poly2_5, g_{19}, i_{19}, j_{19}, k_{10} = Polygon(G_5, I_5, J_5, K_5)
G_6 = (5, 4)
I_6 = (7, 4)
b_{10} = Segment(G_6, I_6)
k_{13} = OrthogonalLine(I_6, b_{10})
J_6 = Point(k_{13})
l_9 = Line(J_6, b_{10})
m_9 = OrthogonalLine(G_6, b_{10})
K_6 = Intersect(l_9, m_9)
poly2_6, g_{20}, i_{20}, j_{20}, k_{12} = Polygon(G_6, I_6, J_6, K_6)
G_7 = (5, 4)
I_7 = (7, 4)
b_{11} = Segment(G_7, I_7)
k_{15} = OrthogonalLine(I_7, b_{11})
J_7 = Point(k_{15})
l_{10} = Line(J_7, b_{11})
m_{10} = OrthogonalLine(G_7, b_{11})
K_7 = Intersect(l_{10}, m_{10})
poly2_7, g_{21}, i_{21}, j_{21}, k_{14} = Polygon(G_7, I_7, J_7, K_7)
R_1 = (0, 6)
S_1 = (3, 6)
s_3 = Segment(R_1, S_1)
t_3 = OrthogonalLine(S_1, s_3)
T_1 = Point(t_3)
a_{20} = Line(T_1, s_3)
b_{12} = OrthogonalLine(R_1, s_3)
U_1 = Intersect(b_{12}, a_{20})
poly3_1, r_2, s_2, t_2, u_1 = Polygon(R_1, S_1, T_1, U_1)
R_2 = (0, 6)
S_2 = (3, 6)
s_5 = Segment(R_2, S_2)
t_5 = OrthogonalLine(S_2, s_5)
T_2 = Point(t_5)
a_{21} = Line(T_2, s_5)
b_{13} = OrthogonalLine(R_2, s_5)
U_2 = Intersect(b_{13}, a_{21})
poly3_2, r_3, s_4, t_4, u_2 = Polygon(R_2, S_2, T_2, U_2)
R_3 = (0, 6)
S_3 = (3, 6)
s_7 = Segment(R_3, S_3)
t_7 = OrthogonalLine(S_3, s_7)
T_3 = Point(t_7)
a_{22} = Line(T_3, s_7)
b_{14} = OrthogonalLine(R_3, s_7)
U_3 = Intersect(b_{14}, a_{22})
poly3_3, r_4, s_6, t_6, u_3 = Polygon(R_3, S_3, T_3, U_3)
R_4 = (0, 6)
S_4 = (3, 6)
s_9 = Segment(R_4, S_4)
t_9 = OrthogonalLine(S_4, s_9)
T_4 = Point(t_9)
a_{23} = Line(T_4, s_9)
b_{15} = OrthogonalLine(R_4, s_9)
U_4 = Intersect(b_{15}, a_{23})
poly3_4, r_5, s_8, t_8, u_4 = Polygon(R_4, S_4, T_4, U_4)
R_5 = (0, 6)
S_5 = (3, 6)
s_{11} = Segment(R_5, S_5)
t_{11} = OrthogonalLine(S_5, s_{11})
T_5 = Point(t_{11})
a_{24} = Line(T_5, s_{11})
b_{16} = OrthogonalLine(R_5, s_{11})
U_5 = Intersect(b_{16}, a_{24})
poly3_5, r_6, s_{10}, t_{10}, u_5 = Polygon(R_5, S_5, T_5, U_5)
R_6 = (0, 6)
S_6 = (3, 6)
s_{13} = Segment(R_6, S_6)
t_{13} = OrthogonalLine(S_6, s_{13})
T_6 = Point(t_{13})
a_{25} = Line(T_6, s_{13})
b_{17} = OrthogonalLine(R_6, s_{13})
U_6 = Intersect(b_{17}, a_{25})
poly3_6, r_7, s_{12}, t_{12}, u_6 = Polygon(R_6, S_6, T_6, U_6)
R_7 = (0, 6)
S_7 = (3, 6)
s_{15} = Segment(R_7, S_7)
t_{15} = OrthogonalLine(S_7, s_{15})
T_7 = Point(t_{15})
a_{26} = Line(T_7, s_{15})
b_{18} = OrthogonalLine(R_7, s_{15})
U_7 = Intersect(b_{18}, a_{26})
poly3_7, r_8, s_{14}, t_{14}, u_7 = Polygon(R_7, S_7, T_7, U_7)
F_1 = (0, -1)
H_1 = (12, -1)
p_1 = Segment(F_1, H_1)
q_1 = OrthogonalLine(H_1, p_1)
L_1 = Point(q_1)
M_1 = Point(q_1)
p_2 = Line(L_1, p_1)
q_2 = OrthogonalLine(F_1, p_1)
N_1 = Intersect(q_2, p_2)
poly6, f_{21}, h_{17}, l_{11}, n_4 = Polygon(F_1, H_1, L_1, N_1)
Z = Point(yAxis)
A_1 = (1, 4)
O_1 = (3.4, 4)
n = Segment(A_1, O_1)
p = OrthogonalLine(O_1, n)
P_1 = Point(p)
q = Line(P_1, n)
r = OrthogonalLine(A_1, n)
Q_1 = Intersect(q, r)
poly4, a_2, o_1, p_3, q_3 = Polygon(A_1, O_1, P_1, Q_1)
A_{21} = (1, 4)
O_2 = (3.4, 4)
n_5 = Segment(A_{21}, O_2)
p_5 = OrthogonalLine(O_2, n_5)
P_2 = Point(p_5)
q_5 = Line(P_2, n_5)
r_9 = OrthogonalLine(A_{21}, n_5)
Q_2 = Intersect(q_5, r_9)
poly4_5, a_{27}, o_2, p_4, q_4 = Polygon(A_{21}, O_2, P_2, Q_2)
A_{22} = (1, 4)
O_3 = (3.4, 4)
n_6 = Segment(A_{22}, O_3)
p_7 = OrthogonalLine(O_3, n_6)
P_3 = Point(p_7)
q_7 = Line(P_3, n_6)
r_{10} = OrthogonalLine(A_{22}, n_6)
Q_3 = Intersect(q_7, r_{10})
poly4_6, a_{28}, o_3, p_6, q_6 = Polygon(A_{22}, O_3, P_3, Q_3)
A_{23} = (1, 4)
O_4 = (3.4, 4)
n_7 = Segment(A_{23}, O_4)
p_9 = OrthogonalLine(O_4, n_7)
P_4 = Point(p_9)
q_9 = Line(P_4, n_7)
r_{11} = OrthogonalLine(A_{23}, n_7)
Q_4 = Intersect(q_9, r_{11})
poly4_7, a_{29}, o_4, p_8, q_8 = Polygon(A_{23}, O_4, P_4, Q_4)
A_{24} = (1, 4)
O_5 = (3.4, 4)
n_8 = Segment(A_{24}, O_5)
p_{11} = OrthogonalLine(O_5, n_8)
P_5 = Point(p_{11})
q_{11} = Line(P_5, n_8)
r_{12} = OrthogonalLine(A_{24}, n_8)
Q_5 = Intersect(q_{11}, r_{12})
poly4_8, a_{30}, o_5, p_{10}, q_{10} = Polygon(A_{24}, O_5, P_5, Q_5)
A_{25} = (1, 4)
O_6 = (3.4, 4)
n_9 = Segment(A_{25}, O_6)
p_{13} = OrthogonalLine(O_6, n_9)
P_6 = Point(p_{13})
q_{13} = Line(P_6, n_9)
r_{13} = OrthogonalLine(A_{25}, n_9)
Q_6 = Intersect(q_{13}, r_{13})
poly4_9, a_{31}, o_6, p_{12}, q_{12} = Polygon(A_{25}, O_6, P_6, Q_6)
A_{26} = (1, 4)
O_7 = (3.4, 4)
n_{10} = Segment(A_{26}, O_7)
p_{15} = OrthogonalLine(O_7, n_{10})
P_7 = Point(p_{15})
q_{15} = Line(P_7, n_{10})
r_{14} = OrthogonalLine(A_{26}, n_{10})
Q_7 = Intersect(q_{15}, r_{14})
poly4_{10}, a_{32}, o_7, p_{14}, q_{14} = Polygon(A_{26}, O_7, P_7, Q_7)
F_2 = (12, 6)
H_2 = (13.5, 6)
d_1 = Segment(F_2, H_2)
e_1 = OrthogonalLine(H_2, d_1)
L_2 = Point(e_1)
M_2 = Point(e_1)
m_{11} = OrthogonalLine(F_2, d_1)
n_{11} = Line(L_2, d_1)
N_2 = Intersect(n_{11}, m_{11})
poly7, f_{22}, h_{18}, l_{12}, n_{12} = Polygon(F_2, H_2, L_2, N_2)
F_3 = Point(m_{11})
F_4 = (12, 6)
H_3 = (13.5, 6)
d_{24} = Segment(F_4, H_3)
e_{24} = OrthogonalLine(H_3, d_{24})
L_3 = Point(e_{24})
M_3 = Point(e_{24})
m_{12} = OrthogonalLine(F_4, d_{24})
n_{14} = Line(L_3, d_{24})
N_3 = Intersect(n_{14}, m_{12})
poly7_1, f_{23}, h_{19}, l_{13}, n_{13} = Polygon(F_4, H_3, L_3, N_3)
F_5 = Point(m_{12})
F_6 = (12, 6)
H_4 = (13.5, 6)
d_{25} = Segment(F_6, H_4)
e_{25} = OrthogonalLine(H_4, d_{25})
L_4 = Point(e_{25})
M_4 = Point(e_{25})
m_{13} = OrthogonalLine(F_6, d_{25})
n_{16} = Line(L_4, d_{25})
N_4 = Intersect(n_{16}, m_{13})
poly7_2, f_{24}, h_{20}, l_{14}, n_{15} = Polygon(F_6, H_4, L_4, N_4)
F_7 = Point(m_{13})
F_8 = (12, 6)
H_5 = (13.5, 6)
d_{26} = Segment(F_8, H_5)
e_{26} = OrthogonalLine(H_5, d_{26})
L_5 = Point(e_{26})
M_5 = Point(e_{26})
m_{14} = OrthogonalLine(F_8, d_{26})
n_{18} = Line(L_5, d_{26})
N_5 = Intersect(n_{18}, m_{14})
poly7_3, f_{25}, h_{21}, l_{15}, n_{17} = Polygon(F_8, H_5, L_5, N_5)
F_9 = Point(m_{14})
F_{10} = (12, 6)
H_6 = (13.5, 6)
d_{27} = Segment(F_{10}, H_6)
e_{27} = OrthogonalLine(H_6, d_{27})
L_6 = Point(e_{27})
M_6 = Point(e_{27})
m_{15} = OrthogonalLine(F_{10}, d_{27})
n_{20} = Line(L_6, d_{27})
N_6 = Intersect(n_{20}, m_{15})
poly7_4, f_{26}, h_{22}, l_{16}, n_{19} = Polygon(F_{10}, H_6, L_6, N_6)
F_{11} = Point(m_{15})
F_{12} = (12, 6)
H_7 = (13.5, 6)
d_{28} = Segment(F_{12}, H_7)
e_{28} = OrthogonalLine(H_7, d_{28})
L_7 = Point(e_{28})
M_7 = Point(e_{28})
m_{16} = OrthogonalLine(F_{12}, d_{28})
n_{22} = Line(L_7, d_{28})
N_7 = Intersect(n_{22}, m_{16})
poly7_5, f_{27}, h_{23}, l_{17}, n_{21} = Polygon(F_{12}, H_7, L_7, N_7)
F_{13} = Point(m_{16})
F_{14} = (12, 6)
H_8 = (13.5, 6)
d_{29} = Segment(F_{14}, H_8)
e_{29} = OrthogonalLine(H_8, d_{29})
L_8 = Point(e_{29})
M_8 = Point(e_{29})
m_{17} = OrthogonalLine(F_{14}, d_{29})
n_{24} = Line(L_8, d_{29})
N_8 = Intersect(n_{24}, m_{17})
poly7_6, f_{28}, h_{24}, l_{18}, n_{23} = Polygon(F_{14}, H_8, L_8, N_8)
F_{15} = Point(m_{17})
F_{16} = (12, 6)
H_9 = (13.5, 6)
d_{30} = Segment(F_{16}, H_9)
e_{30} = OrthogonalLine(H_9, d_{30})
L_9 = Point(e_{30})
M_9 = Point(e_{30})
m_{18} = OrthogonalLine(F_{16}, d_{30})
n_{26} = Line(L_9, d_{30})
N_9 = Intersect(n_{26}, m_{18})
poly7_7, f_{29}, h_{25}, l_{19}, n_{25} = Polygon(F_{16}, H_9, L_9, N_9)
F_{17} = Point(m_{18})
F_{18} = (12, 6)
H_{10} = (13.5, 6)
d_{31} = Segment(F_{18}, H_{10})
e_{31} = OrthogonalLine(H_{10}, d_{31})
L_{10} = Point(e_{31})
M_{10} = Point(e_{31})
m_{19} = OrthogonalLine(F_{18}, d_{31})
n_{28} = Line(L_{10}, d_{31})
N_{10} = Intersect(n_{28}, m_{19})
poly7_8, f_{30}, h_{26}, l_{20}, n_{27} = Polygon(F_{18}, H_{10}, L_{10}, N_{10})
F_{19} = Point(m_{19})
F_{20} = (12, 6)
H_{11} = (13.5, 6)
d_{32} = Segment(F_{20}, H_{11})
e_{32} = OrthogonalLine(H_{11}, d_{32})
L_{11} = Point(e_{32})
M_{11} = Point(e_{32})
m_{20} = OrthogonalLine(F_{20}, d_{32})
n_{30} = Line(L_{11}, d_{32})
N_{11} = Intersect(n_{30}, m_{20})
poly7_9, f_{31}, h_{27}, l_{21}, n_{29} = Polygon(F_{20}, H_{11}, L_{11}, N_{11})
F_{21} = Point(m_{20})
E_4 = (-1, 4)
E_5 = (0.2, 4)
r_{15} = Segment(E_4, E_5)
k_{16} = OrthogonalLine(E_5, r_{15})
E_6 = Point(k_{16})
V_7 = Point(k_{16})
p_{16} = Line(E_6, r_{15})
q_{16} = OrthogonalLine(E_4, r_{15})
E_7 = Intersect(p_{16}, q_{16})
poly8, e_{33}, e_{34}, e_{35}, e_{36} = Polygon(E_4, E_5, E_6, E_7)
E_8 = (-1, 4)
E_9 = (0.2, 4)
r_{16} = Segment(E_8, E_9)
k_{17} = OrthogonalLine(E_9, r_{16})
E_{10} = Point(k_{17})
V_8 = Point(k_{17})
p_{17} = Line(E_{10}, r_{16})
q_{17} = OrthogonalLine(E_8, r_{16})
E_{11} = Intersect(p_{17}, q_{17})
poly8_1, e_{37}, e_{38}, e_{39}, e_{40} = Polygon(E_8, E_9, E_{10}, E_{11})
E_{12} = (-1, 4)
E_{13} = (0.2, 4)
r_{17} = Segment(E_{12}, E_{13})
k_{18} = OrthogonalLine(E_{13}, r_{17})
E_{14} = Point(k_{18})
V_9 = Point(k_{18})
p_{18} = Line(E_{14}, r_{17})
q_{18} = OrthogonalLine(E_{12}, r_{17})
E_{15} = Intersect(p_{18}, q_{18})
poly8_2, e_{41}, e_{42}, e_{43}, e_{44} = Polygon(E_{12}, E_{13}, E_{14}, E_{15})
E_{16} = (-1, 4)
E_{17} = (0.2, 4)
r_{18} = Segment(E_{16}, E_{17})
k_{19} = OrthogonalLine(E_{17}, r_{18})
E_{18} = Point(k_{19})
V_{10} = Point(k_{19})
p_{19} = Line(E_{18}, r_{18})
q_{19} = OrthogonalLine(E_{16}, r_{18})
E_{19} = Intersect(p_{19}, q_{19})
poly8_3, e_{45}, e_{46}, e_{47}, e_{48} = Polygon(E_{16}, E_{17}, E_{18}, E_{19})
E_{20} = (-1, 4)
E_{21} = (0.2, 4)
r_{19} = Segment(E_{20}, E_{21})
k_{20} = OrthogonalLine(E_{21}, r_{19})
E_{22} = Point(k_{20})
V_{11} = Point(k_{20})
p_{20} = Line(E_{22}, r_{19})
q_{20} = OrthogonalLine(E_{20}, r_{19})
E_{23} = Intersect(p_{20}, q_{20})
poly8_4, e_{49}, e_{50}, e_{51}, e_{52} = Polygon(E_{20}, E_{21}, E_{22}, E_{23})
E_{24} = (-1, 4)
E_{25} = (0.2, 4)
r_{20} = Segment(E_{24}, E_{25})
k_{21} = OrthogonalLine(E_{25}, r_{20})
E_{26} = Point(k_{21})
V_{12} = Point(k_{21})
p_{21} = Line(E_{26}, r_{20})
q_{21} = OrthogonalLine(E_{24}, r_{20})
E_{27} = Intersect(p_{21}, q_{21})
poly8_5, e_{53}, e_{54}, e_{55}, e_{56} = Polygon(E_{24}, E_{25}, E_{26}, E_{27})
E_{28} = (-1, 4)
E_{29} = (0.2, 4)
r_{21} = Segment(E_{28}, E_{29})
k_{22} = OrthogonalLine(E_{29}, r_{21})
E_{30} = Point(k_{22})
V_{13} = Point(k_{22})
p_{22} = Line(E_{30}, r_{21})
q_{22} = OrthogonalLine(E_{28}, r_{21})
E_{31} = Intersect(p_{22}, q_{22})
poly8_6, e_{57}, e_{58}, e_{59}, e_{60} = Polygon(E_{28}, E_{29}, E_{30}, E_{31})
E_{32} = (-1, 4)
E_{33} = (0.2, 4)
r_{22} = Segment(E_{32}, E_{33})
k_{23} = OrthogonalLine(E_{33}, r_{22})
E_{34} = Point(k_{23})
V_{14} = Point(k_{23})
p_{23} = Line(E_{34}, r_{22})
q_{23} = OrthogonalLine(E_{32}, r_{22})
E_{35} = Intersect(p_{23}, q_{23})
poly8_7, e_{61}, e_{62}, e_{63}, e_{64} = Polygon(E_{32}, E_{33}, E_{34}, E_{35})
E_{36} = (-1, 4)
E_{37} = (0.2, 4)
r_{23} = Segment(E_{36}, E_{37})
k_{24} = OrthogonalLine(E_{37}, r_{23})
E_{38} = Point(k_{24})
V_{15} = Point(k_{24})
p_{24} = Line(E_{38}, r_{23})
q_{24} = OrthogonalLine(E_{36}, r_{23})
E_{39} = Intersect(p_{24}, q_{24})
poly8_8, e_{65}, e_{66}, e_{67}, e_{68} = Polygon(E_{36}, E_{37}, E_{38}, E_{39})
E_{40} = (-1, 4)
E_{41} = (0.2, 4)
r_{24} = Segment(E_{40}, E_{41})
k_{25} = OrthogonalLine(E_{41}, r_{24})
E_{42} = Point(k_{25})
V_{16} = Point(k_{25})
p_{25} = Line(E_{42}, r_{24})
q_{25} = OrthogonalLine(E_{40}, r_{24})
E_{43} = Intersect(p_{25}, q_{25})
poly8_9, e_{69}, e_{70}, e_{71}, e_{72} = Polygon(E_{40}, E_{41}, E_{42}, E_{43})
E_{44} = (-1, 4)
E_{45} = (0.2, 4)
r_{25} = Segment(E_{44}, E_{45})
k_{26} = OrthogonalLine(E_{45}, r_{25})
E_{46} = Point(k_{26})
V_{17} = Point(k_{26})
p_{26} = Line(E_{46}, r_{25})
q_{26} = OrthogonalLine(E_{44}, r_{25})
E_{47} = Intersect(p_{26}, q_{26})
poly8_{10}, e_{73}, e_{74}, e_{75}, e_{76} = Polygon(E_{44}, E_{45}, E_{46}, E_{47})
E_{48} = (-1, 4)
E_{49} = (0.2, 4)
r_{26} = Segment(E_{48}, E_{49})
k_{27} = OrthogonalLine(E_{49}, r_{26})
E_{50} = Point(k_{27})
V_{18} = Point(k_{27})
p_{27} = Line(E_{50}, r_{26})
q_{27} = OrthogonalLine(E_{48}, r_{26})
E_{51} = Intersect(p_{27}, q_{27})
poly8_{11}, e_{77}, e_{78}, e_{79}, e_{80} = Polygon(E_{48}, E_{49}, E_{50}, E_{51})
E_{52} = (-1, 4)
E_{53} = (0.2, 4)
r_{27} = Segment(E_{52}, E_{53})
k_{28} = OrthogonalLine(E_{53}, r_{27})
E_{54} = Point(k_{28})
V_{19} = Point(k_{28})
p_{28} = Line(E_{54}, r_{27})
q_{28} = OrthogonalLine(E_{52}, r_{27})
E_{55} = Intersect(p_{28}, q_{28})
poly8_{12}, e_{81}, e_{82}, e_{83}, e_{84} = Polygon(E_{52}, E_{53}, E_{54}, E_{55})
F_{22} = (6.033745775336979, 1.4833100151876404)
H_{12} = (18.033745775336982, 1.4833100151876404)
p_{29} = Segment(F_{22}, H_{12})
q_{29} = OrthogonalLine(H_{12}, p_{29})
L_{12} = Point(q_{29})
M_{12} = Point(q_{29})
p_{30} = Line(L_{12}, p_{29})
q_{30} = OrthogonalLine(F_{22}, p_{29})
N_{12} = Intersect(q_{30}, p_{30})
F_{23} = (4.214273410219766, 1.1471031651116337)
H_{13} = (16.214273410219768, 1.1471031651116337)
p_{31} = Segment(F_{23}, H_{13})
q_{31} = OrthogonalLine(H_{13}, p_{31})
L_{13} = Point(q_{31})
M_{13} = Point(q_{31})
p_{32} = Line(L_{13}, p_{31})
q_{32} = OrthogonalLine(F_{23}, p_{31})
N_{13} = Intersect(q_{32}, p_{32})
F_{24} = (3.2832110127170546, 1.0196541583788004)
H_{14} = (15.283211012717054, 1.0196541583788004)
p_{33} = Segment(F_{24}, H_{14})
q_{33} = OrthogonalLine(H_{14}, p_{33})
L_{14} = Point(q_{33})
M_{14} = Point(q_{33})
p_{34} = Line(L_{14}, p_{33})
q_{34} = OrthogonalLine(F_{24}, p_{33})
N_{14} = Intersect(q_{34}, p_{34})
F_{25} = (5.56681194797024, 1.3716348892009087)
H_{15} = (17.56681194797024, 1.3716348892009087)
p_{35} = Segment(F_{25}, H_{15})
q_{35} = OrthogonalLine(H_{15}, p_{35})
L_{15} = Point(q_{35})
M_{15} = Point(q_{35})
p_{36} = Line(L_{15}, p_{35})
q_{36} = OrthogonalLine(F_{25}, p_{35})
N_{15} = Intersect(q_{36}, p_{36})
F_{26}: F_{25}
H_{16}: H_{15}
p_{37} = Segment(F_{26}, H_{16})
q_{37} = OrthogonalLine(H_{16}, p_{37})
L_{16} = Point(q_{37})
M_{16} = Point(q_{37})
p_{38} = Line(L_{16}, p_{37})
q_{38} = OrthogonalLine(F_{26}, p_{37})
N_{16} = Intersect(q_{38}, p_{38})
F_{27} = (8.051858284555484, 6.801147893504786)
H_{17} = (20.051858284555486, 6.801147893504786)
p_{39} = Segment(F_{27}, H_{17})
q_{39} = OrthogonalLine(H_{17}, p_{39})
L_{17} = Point(q_{39})
M_{17} = Point(q_{39})
p_{40} = Line(L_{17}, p_{39})
q_{40} = OrthogonalLine(F_{27}, p_{39})
N_{17} = Intersect(q_{40}, p_{40})
F_{28} = (0, 1)
H_{18} = (12, 1)
p_{41} = Segment(F_{28}, H_{18})
q_{41} = OrthogonalLine(H_{18}, p_{41})
L_{18} = Point(q_{41})
M_{18} = Point(q_{41})
p_{42} = Line(L_{18}, p_{41})
q_{42} = OrthogonalLine(F_{28}, p_{41})
N_{18} = Intersect(q_{42}, p_{42})
poly6_1, f_{32}, h_{28}, l_{22}, n_{31} = Polygon(F_{28}, H_{18}, L_{18}, N_{18})
V_{20} = (6, 6)
W_7 = (10, 6)
c_{24} = Segment(V_{20}, W_7)
d_{33} = OrthogonalLine(W_7, c_{24})
Z_7 = Point(d_{33})
e_{85} = Line(Z_7, c_{24})
f_{33} = OrthogonalLine(V_{20}, c_{24})
A_{27} = Intersect(e_{85}, f_{33})
poly4_{11}, v_5, w_5, z_5, a_{33} = Polygon(V_{20}, W_7, Z_7, A_{27})
B_{17} = (8, 4)
C_{17} = (14, 4)
h_{29} = Segment(B_{17}, C_{17})
l_{23} = OrthogonalLine(C_{17}, h_{29})
D_{17} = Point(l_{23})
m_{21} = Line(D_{17}, h_{29})
n_{32} = OrthogonalLine(B_{17}, h_{29})
E_{56} = Intersect(n_{32}, m_{21})
poly5_3, b_{19}, c_{25}, d_{34}, e_{86} = Polygon(B_{17}, C_{17}, D_{17}, E_{56})
E_{57} = (-1, 4)
E_{58} = (0.2, 4)
r_{28} = Segment(E_{57}, E_{58})
k_{29} = OrthogonalLine(E_{58}, r_{28})
E_{59} = Point(k_{29})
V_{21} = Point(k_{29})
p_{43} = Line(E_{59}, r_{28})
q_{43} = OrthogonalLine(E_{57}, r_{28})
E_{60} = Intersect(p_{43}, q_{43})
poly8_{13}, e_{87}, e_{88}, e_{89}, e_{90} = Polygon(E_{57}, E_{58}, E_{59}, E_{60})
o = false
v = false