Reptilienverschiebung

Das Reptil (grün) wurde mithilfe einer Verschiebung
auf die Bildfigur (blau) abgebildet.

Arbeitsauftrag:
1) Bewege mit dem Zugmodus das Reptil mit Hilfe des gelben Punktes.
     Beschreibe, was du beobachtest.



 

Bereite dich darauf vor, 
deine Ergebnisse vor der Gruppe zu präsentieren.

Reptil einblenden

Verbinde die Punkte P,Q,.. jeweils mit ihren Bildpunkten P',Q',...mit einer Strecke. 
1) Was kannst du über die Längen dieser Strecken sagen?
2) Kannst du einen Zusammenhang zwischen den einzelnen Strecken erkennen?

Tipp

2) Untersuche die Verschiebung.
     Welchen Weg beschreiben die Schwanzspitze (Punkt Q)
     oder die Punkte P,R,S? (Tipp: Spur ein mit rechter Maustaste)
     Kannst du Regeln aufstellen?
     

Für die ganz Schnellen:
1) Erkläre, weshalb sich Pfeile besser als Strecken dazu eignen,
    die Verschiebung der Punkte darzustellen?
2) Was muss bei den Verschiebungspfeilen beachtet werden?

schon fertig?

Hintergrundbild

b = 115 (slider from -5 to 115, step 0.1)
A = (2017.9210430655996, 2654.149733906896)
B = (1709.1033132102277, 2393.584774341426)
C = (1757.3560835001294, 2026.8637201381719)
D = (1858.6869011089234, 1959.3098417323092)
S = (2317.088218862991, 2079.941767457064)
F = (2654.8576108923044, 1742.1723754277507)
G = (2635.5565027763437, 1616.7151726740058)
H = (2350.8651580659225, 1389.9271523114671)
I = (1969.6682727756977, 1529.8601861521825)
J = (1926.240779514786, 1438.1799226013688)
K = (1960.0177187177173, 1317.5479968766142)
L = (1974.493549804688, 1172.7896860069086)
M = (2080.649644442472, 1172.7896860069086)
N = (2153.028799877325, 1274.1205036157025)
S_{11} = (2428.0695905297657, 1143.8380238329673)
P_9 = (2312.262941834001, 941.1763886153796)
Q_9 = (2095.1254755294426, 921.8752804994187)
R_9 = (1863.5121781379137, 863.9719561515366)
S_9 = (1738.0549753841688, 1206.56662520984)
T = (1694.627482123257, 1293.4216117316632)
U = (1400.2855833548556, 1211.39190223883)
V = (1530.5680631375906, 1037.6819291951833)
R = (1602.9472185724435, 695.08726013688)
Z_9 = (1342.3822590069733, 453.8234086873706)
A_1 = (1255.52727248515, 251.16177346978267)
B_1 = (1038.3898061805914, 463.47396274535095)
C_1 = (1091.4678534994837, 555.1542262961646)
D_1 = (1327.906427920003, 830.1950169486053)
E_1 = (1159.0217319053463, 1008.7302670212422)
F_1 = (1038.3898061805914, 1182.440240064889)
G_1 = (801.9512317600723, 1182.440240064889)
H_1 = (715.0962452382489, 1177.6149630358987)
I_1 = (657.1929208903666, 1216.2171792678203)
J_1 = (502.78405596268067, 1264.4699495577222)
K_1 = (415.9290694408573, 1307.8974428186339)
Q = (251.8696504551909, 1669.793219992898)
M_1 = (488.3082248757101, 1457.4810307173298)
N_1 = (787.4754006731017, 1433.3546455723788)
O_1 = (937.0589885717976, 1500.9085239782414)
P_1 = (975.6612048037191, 1800.075699775633)
Q_1 = (1076.992022412513, 1901.406517384427)
R_1 = (1048.0403602385718, 2147.4956458629267)
S_1 = (758.5237384991606, 1997.9120579642306)
T_1 = (493.13350190470027, 2181.272585065858)
U_1 = (700.6204141512784, 2330.8561729645535)
V_1 = (840.5534479919938, 2292.253956732632)
W_1 = (1120.4195156734247, 2403.2353283994066)
Z_1 = (1250.7019954561597, 2306.7297878196027)
A_2 = (1371.3339211809146, 2046.1648282541325)
B_2 = (1313.4305968330323, 1746.997652456741)
C_2 = (1545.0438942245612, 2055.815382312113)
D_2 = (1540.2186171955711, 2142.670368833936)
E_2 = (1501.6164009636495, 2297.079233761622)
F_2 = (1501.6164009636495, 2369.4583891964753)
G_2 = (1453.3636306737476, 2446.662821660318)
H_2 = (1704.2780361812374, 2620.3727947039647)
I_2 = (1656.0252658913355, 2731.354166370739)
P = (1699.4527591522472, 2827.859706950543)
K_2 = (1829.7352389349824, 2769.9563826026606)
L_2 = (1955.1924416887273, 2741.00472042872)
Vieleck1, a, b_1, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, z, a_1, b_2, c_1, d_1, e_1, f_1, g_1, h_1, i_1, j_1, k_1, l_1, m_1, n_1, o_1, p_1, q_1, r_1, s_1, t_1, u_1, v_1, w_1, z_1, a_2, b_3, c_2, d_2, e_2, f_2, g_2, h_2, i_2, j_2, k_2, l_2 = Polygon(A, B, C, D, S, F, G, H, I, J, K, L, M, N, S_{11}, P_9, Q_9, R_9, S_9, T, U, V, R, Z_9, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, Q, M_1, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, P, K_2, L_2)
abstandEF = Distance(S, F)
abstandFG = Distance(F, G)
abstandGH = Distance(G, H)
abstandHI = Distance(H, I)
abstandIJ = Distance(I, J)
abstandJK = Distance(J, K)
abstandKL = Distance(K, L)
abstandLM = Distance(L, M)
abstandMN = Distance(M, N)
abstandNO = Distance(N, S_{11})
abstandOP = Distance(S_{11}, P_9)
abstandPQ = Distance(P_9, Q_9)
abstandQR = Distance(Q_9, R_9)
abstandRS = Distance(R_9, S_9)
abstandSR = Distance(S_9, R_9)
abstandST = Distance(S_9, T)
abstandTU = Distance(T, U)
abstandUV = Distance(U, V)
abstandVW = Distance(V, R)
o_2 = Distance(K, L)
u_2 = Distance(L, M)
v_2 = Distance(M, N)
w_2 = Distance(N, S_{11})
z_2 = Distance(S_{11}, P_9)
o_3 = Distance(P_9, Q_9)
u_3 = Distance(Q_9, R_9)
v_3 = Distance(R_9, S_9)
w_3 = Distance(S_9, T)
z_3 = Distance(T, U)
o_4 = Distance(U, V)
u_4 = Distance(V, R)
abstandWZ = Distance(R, Z_9)
abstandZA1 = Distance(Z_9, A_1)
abstandA1B1 = Distance(A_1, B_1)
abstandB1C1 = Distance(B_1, C_1)
abstandC1D1 = Distance(C_1, D_1)
abstandE1D1 = Distance(E_1, D_1)
abstandE1F1 = Distance(E_1, F_1)
abstandF1G1 = Distance(F_1, G_1)
abstandH1G1 = Distance(H_1, G_1)
abstandH1I1 = Distance(H_1, I_1)
abstandI1J1 = Distance(I_1, J_1)
abstandJ1K1 = Distance(J_1, K_1)
abstandK1L1 = Distance(K_1, Q)
abstandL1M1 = Distance(Q, M_1)
abstandM1N1 = Distance(M_1, N_1)
abstandN1O1 = Distance(N_1, O_1)
abstandO1P1 = Distance(O_1, P_1)
A'_1 = Rotate(A, 120*°, S)
B'_1 = Rotate(B, 120*°, S)
C'_1 = Rotate(C, 120*°, S)
D'_1 = Rotate(D, 120*°, S)
E' = Rotate(S, 120*°, S)
F'_1 = Rotate(F, 120*°, S)
G'_1 = Rotate(G, 120*°, S)
H'_1 = Rotate(H, 120*°, S)
I'_1 = Rotate(I, 120*°, S)
J'_1 = Rotate(J, 120*°, S)
K'_1 = Rotate(K, 120*°, S)
L'_1 = Rotate(L, 120*°, S)
M'_1 = Rotate(M, 120*°, S)
N'_1 = Rotate(N, 120*°, S)
S'_2 = Rotate(S_{11}, 120*°, S)
P'_1 = Rotate(P_9, 120*°, S)
Q'_1 = Rotate(Q_9, 120*°, S)
R'_1 = Rotate(R_9, 120*°, S)
S'_1 = Rotate(S_9, 120*°, S)
T'_1 = Rotate(T, 120*°, S)
U'_1 = Rotate(U, 120*°, S)
V'_1 = Rotate(V, 120*°, S)
R'_2 = Rotate(R, 120*°, S)
Z'_1 = Rotate(Z_9, 120*°, S)
S_7 = Rotate(A_1, 120*°, S)
T_7 = Rotate(B_1, 120*°, S)
U_7 = Rotate(C_1, 120*°, S)
V_7 = Rotate(D_1, 120*°, S)
W_7 = Rotate(E_1, 120*°, S)
Z_7 = Rotate(F_1, 120*°, S)
A_8 = Rotate(G_1, 120*°, S)
B_8 = Rotate(H_1, 120*°, S)
C_8 = Rotate(I_1, 120*°, S)
D_8 = Rotate(J_1, 120*°, S)
E_8 = Rotate(K_1, 120*°, S)
Q'_2 = Rotate(Q, 120*°, S)
G_8 = Rotate(M_1, 120*°, S)
H_8 = Rotate(N_1, 120*°, S)
I_8 = Rotate(O_1, 120*°, S)
J_8 = Rotate(P_1, 120*°, S)
K_8 = Rotate(Q_1, 120*°, S)
L_8 = Rotate(R_1, 120*°, S)
M_8 = Rotate(S_1, 120*°, S)
N_8 = Rotate(T_1, 120*°, S)
O_8 = Rotate(U_1, 120*°, S)
P_8 = Rotate(V_1, 120*°, S)
Q_8 = Rotate(W_1, 120*°, S)
R_8 = Rotate(Z_1, 120*°, S)
S_8 = Rotate(A_2, 120*°, S)
T_8 = Rotate(B_2, 120*°, S)
U_8 = Rotate(C_2, 120*°, S)
V_8 = Rotate(D_2, 120*°, S)
W_8 = Rotate(E_2, 120*°, S)
Z_8 = Rotate(F_2, 120*°, S)
A_9 = Rotate(G_2, 120*°, S)
B_9 = Rotate(H_2, 120*°, S)
C_9 = Rotate(I_2, 120*°, S)
P'_2 = Rotate(P, 120*°, S)
E_9 = Rotate(K_2, 120*°, S)
F_9 = Rotate(L_2, 120*°, S)
Vieleck1'_1, a', b', c', d', e', f', g', h', i', j', k', l', m', n', o', p', q', r', s', t', u', v', w', z', s_{12}, t_{12}, u_7, v_7, w_7, z_7, a_{13}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}, o_8, p_{12}, q_{12}, r_{12}, s_{13}, t_{13}, u_8, v_8, w_8, z_8, a_{14}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13} = Polygon(A'_1, B'_1, C'_1, D'_1, E', F'_1, G'_1, H'_1, I'_1, J'_1, K'_1, L'_1, M'_1, N'_1, S'_2, P'_1, Q'_1, R'_1, S'_1, T'_1, U'_1, V'_1, R'_2, Z'_1, S_7, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8, E_8, Q'_2, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, W_8, Z_8, A_9, B_9, C_9, P'_2, E_9, F_9)
w_4 = Vector(R, R'_2)
A' = Translate(A, w_4)
B' = Translate(B, w_4)
C' = Translate(C, w_4)
D' = Translate(D, w_4)
S' = Translate(S, w_4)
F' = Translate(F, w_4)
G' = Translate(G, w_4)
H' = Translate(H, w_4)
I' = Translate(I, w_4)
J' = Translate(J, w_4)
K' = Translate(K, w_4)
L' = Translate(L, w_4)
M' = Translate(M, w_4)
N' = Translate(N, w_4)
S'_3 = Translate(S_{11}, w_4)
E = Translate(P_9, w_4)
O = Translate(Q_9, w_4)
W = Translate(R_9, w_4)
L_1 = Translate(S_9, w_4)
T' = Translate(T, w_4)
U' = Translate(U, w_4)
V' = Translate(V, w_4)
R' = Translate(R, w_4)
F_8 = Translate(Z_9, w_4)
D_9 = Translate(A_1, w_4)
G_9 = Translate(B_1, w_4)
H_9 = Translate(C_1, w_4)
I_9 = Translate(D_1, w_4)
J_9 = Translate(E_1, w_4)
K_9 = Translate(F_1, w_4)
L_9 = Translate(G_1, w_4)
M_9 = Translate(H_1, w_4)
N_9 = Translate(I_1, w_4)
O_9 = Translate(J_1, w_4)
T_9 = Translate(K_1, w_4)
Q' = Translate(Q, w_4)
U_9 = Translate(M_1, w_4)
V_9 = Translate(N_1, w_4)
W_9 = Translate(O_1, w_4)
A_{10} = Translate(P_1, w_4)
B_{10} = Translate(Q_1, w_4)
C_{10} = Translate(R_1, w_4)
D_{10} = Translate(S_1, w_4)
E_{10} = Translate(T_1, w_4)
F_{10} = Translate(U_1, w_4)
G_{10} = Translate(V_1, w_4)
H_{10} = Translate(W_1, w_4)
I_{10} = Translate(Z_1, w_4)
J_{10} = Translate(A_2, w_4)
K_{10} = Translate(B_2, w_4)
L_{10} = Translate(C_2, w_4)
M_{10} = Translate(D_2, w_4)
N_{10} = Translate(E_2, w_4)
O_{10} = Translate(F_2, w_4)
P_{10} = Translate(G_2, w_4)
Q_{10} = Translate(H_2, w_4)
R_{10} = Translate(I_2, w_4)
P' = Translate(P, w_4)
S_{10} = Translate(K_2, w_4)
T_{10} = Translate(L_2, w_4)
Vieleck1', a'_1, b'_1, c'_1, d'_1, z'_1, f'_1, g'_1, h'_1, i'_1, j'_1, k'_1, l'_1, m'_1, n'_1, s'_1, e_{14}, o_5, w_5, l_{13}, t'_1, u'_1, v'_1, r'_1, f_{14}, d_{14}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{14}, m_{13}, n_{13}, o_9, t_{14}, q'_1, u_9, v_9, w_9, a_{15}, b_{14}, c_{14}, d_{15}, e_{15}, f_{15}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{15}, m_{14}, n_{14}, o_{10}, p_{13}, q_{13}, r_{13}, p'_1, s_{14}, t_{15} = Polygon(A', B', C', D', S', F', G', H', I', J', K', L', M', N', S'_3, E, O, W, L_1, T', U', V', R', F_8, D_9, G_9, H_9, I_9, J_9, K_9, L_9, M_9, N_9, O_9, T_9, Q', U_9, V_9, W_9, A_{10}, B_{10}, C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}, L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, P', S_{10}, T_{10})
J_2 = Point(w_4)
R'' = Rotate(R', 69.21*°, J_2)
ξ_2 = Angle(R', J_2, R'')
p_{14} = Line(R'', J_2)
U_{10} = (2047.3181222061276, -438.52290925452826)
p_2 = Circle(J_2, Segment[R, V])
M_2 = Intersect(p_2, p_{14}, 1)
m_2 = Segment(J_2, M_2)
N_2 = Rotate(J_2, 204.94*°, M_2)
β = Angle(J_2, M_2, N_2)
n_2 = Line(M_2, N_2)
q_2 = Circle(M_2, Segment[V, U])
O_2 = Intersect(q_2, n_2, 2)
r_2 = Segment(M_2, O_2)
P_2 = Rotate(M_2, 68.7*°, O_2)
γ = Angle(M_2, O_2, P_2)
s_2 = Line(O_2, P_2)
t_2 = Circle(O_2, Segment[U, T])
Q_2 = Intersect(t_2, s_2, 2)
a_3 = Segment(O_2, Q_2)
R_2 = Rotate(O_2, 100.99*°, Q_2)
δ = Angle(O_2, Q_2, R_2)
c_3 = Line(Q_2, R_2)
d_3 = Circle(Q_2, Segment[T, S_9])
S_2, T_2 = Intersect(d_3, c_3)
e_3 = Segment(Q_2, T_2)
U_2 = Rotate(Q_2, 173.55*°, T_2)
ε = Angle(Q_2, T_2, U_2)
f_3 = Line(T_2, U_2)
g_3 = Circle(T_2, Segment[S_9, R_9])
V_2, W_2 = Intersect(g_3, f_3)
h_3 = Segment(T_2, W_2)
Z_2 = Rotate(T_2, 263.92*°, W_2)
ζ = Angle(T_2, W_2, Z_2)
i_3 = Line(W_2, Z_2)
k_3 = Circle(W_2, Segment[R_9, Q_9])
A_3, B_3 = Intersect(k_3, i_3)
j_3 = Segment(W_2, B_3)
C_3 = Rotate(W_2, 171.04*°, B_3)
η = Angle(W_2, B_3, C_3)
l_3 = Line(B_3, C_3)
p_3 = Circle(B_3, Segment[Q_9, P_9])
D_3 = Intersect(p_3, l_3, 2)
m_3 = Segment(B_3, D_3)
E_3 = Rotate(B_3, 235.18*°, D_3)
θ = Angle(B_3, D_3, E_3)
n_3 = Line(D_3, E_3)
q_3 = Circle(D_3, Segment[P_9, S_{11}])
F_3 = Intersect(q_3, n_3, 2)
r_3 = Segment(D_3, F_3)
G_3 = Rotate(D_3, 274.4*°, F_3)
ι = Angle(D_3, F_3, G_3)
s_3 = Line(F_3, G_3)
t_3 = Circle(F_3, Segment[S_{11}, N])
H_3, I_3 = Intersect(t_3, s_3)
a_4 = Segment(I_3, F_3)
J_3 = Rotate(F_3, 259.81*°, I_3)
κ = Angle(F_3, I_3, J_3)
b_4 = Line(I_3, J_3)
c_4 = Circle(I_3, Segment[N, M])
K_3 = Intersect(c_4, b_4, 2)
d_4 = Segment(I_3, K_3)
L_3 = Rotate(I_3, 125.54*°, K_3)
λ = Angle(I_3, K_3, L_3)
e_4 = Line(K_3, L_3)
f_4 = Circle(K_3, Segment[M, L])
M_3 = Intersect(f_4, e_4, 2)
g_4 = Segment(K_3, M_3)
N_3 = Rotate(K_3, 95.71*°, M_3)
μ = Angle(K_3, M_3, N_3)
h_4 = Line(M_3, N_3)
k_4 = Circle(M_3, Segment[L, K])
O_3, P_3 = Intersect(k_4, h_4)
i_4 = Segment(P_3, M_3)
Q_3 = Rotate(M_3, 189.93*°, P_3)
ν = Angle(M_3, P_3, Q_3)
j_4 = Line(P_3, Q_3)
p_4 = Circle(P_3, Segment[K, J])
R_3, S_3 = Intersect(p_4, j_4)
l_4 = Segment(S_3, P_3)
T_3 = Rotate(P_3, 139.01*°, S_3)
ξ = Angle(P_3, S_3, T_3)
m_4 = Line(S_3, T_3)
q_4 = Circle(S_3, Segment[J, I])
U_3, V_3 = Intersect(q_4, m_4)
n_4 = Segment(V_3, S_3)
W_3 = Rotate(S_3, 95.19*°, V_3)
ο = Angle(S_3, V_3, W_3)
r_4 = Line(V_3, W_3)
s_4 = Circle(V_3, Segment[I, H])
Z_3 = Intersect(s_4, r_4, 2)
t_4 = Segment(V_3, Z_3)
A_4 = Rotate(V_3, 238.7*°, Z_3)
ρ = Angle(V_3, Z_3, A_4)
a_5 = Line(Z_3, A_4)
c_5 = Circle(Z_3, Segment[H, G])
B_4, C_4 = Intersect(c_5, a_5)
D_4 = Intersect(c_5, a_5, 2)
b_5 = Segment(Z_3, D_4)
E_4 = Rotate(Z_3, 222.71*°, D_4)
σ = Angle(Z_3, D_4, E_4)
d_5 = Line(D_4, E_4)
e_5 = Circle(D_4, Segment[G, F])
F_4 = Intersect(e_5, d_5, 2)
f_5 = Segment(D_4, F_4)
G_4 = Rotate(D_4, 233.75*°, F_4)
τ = Angle(D_4, F_4, G_4)
g_5 = Line(F_4, G_4)
h_5 = Circle(F_4, Segment[F, S])
H_4 = Intersect(h_5, g_5, 2)
I_4 = Intersect(h_5, g_5, 2)
i_5 = Segment(F_4, I_4)
J_4 = Rotate(F_4, 239.74*°, I_4)
υ = Angle(F_4, I_4, J_4)
j_5 = Line(I_4, J_4)
k_5 = Circle(I_4, Segment[S, D])
K_4 = Intersect(k_5, j_5, 2)
l_5 = Segment(I_4, K_4)
L_4 = Rotate(I_4, 131.67*°, K_4)
m_5 = Line(K_4, L_4)
p_5 = Circle(K_4, Segment[D, C])
M_4 = Intersect(p_5, m_5, 2)
n_5 = Segment(K_4, M_4)
N_4 = Rotate(K_4, 131.19*°, M_4)
φ = Angle(K_4, M_4, N_4)
q_5 = Line(M_4, N_4)
r_5 = Circle(M_4, Segment[C, B])
O_4 = Intersect(r_5, q_5, 2)
s_5 = Segment(M_4, O_4)
α = Angle(C, B, A)
P_4 = Rotate(M_4, 122.66*°, O_4)
χ = Angle(M_4, O_4, P_4)
t_5 = Line(O_4, P_4)
c_6 = Circle(O_4, Segment[B, A])
Q_4, R_4 = Intersect(c_6, t_5)
a_6 = Segment(O_4, R_4)
S_4 = Rotate(O_4, 265.68*°, R_4)
ω = Angle(O_4, R_4, S_4)
b_6 = Line(R_4, S_4)
d_6 = Circle(R_4, Segment[A, L_2])
T_4 = Intersect(d_6, b_6, 2)
e_6 = Segment(T_4, R_4)
U_4 = Rotate(R_4, 221.17*°, T_4)
α_1 = Angle(R_4, T_4, U_4)
f_6 = Line(T_4, U_4)
g_6 = Circle(T_4, Segment[L_2, K_2])
V_4 = Intersect(g_6, f_6, 2)
h_6 = Segment(T_4, V_4)
W_4 = Rotate(T_4, 169.03*°, V_4)
β_1 = Angle(T_4, V_4, W_4)
i_6 = Line(V_4, W_4)
k_6 = Circle(V_4, Segment[K_2, P])
Z_4 = Intersect(k_6, i_6, 2)
j_6 = Segment(V_4, Z_4)
A_5 = Rotate(V_4, 269.73*°, Z_4)
γ_1 = Angle(V_4, Z_4, A_5)
l_6 = Line(Z_4, A_5)
p_6 = Circle(Z_4, Segment[P, I_2])
B_5 = Intersect(p_6, l_6, 2)
m_6 = Segment(Z_4, B_5)
C_5 = Rotate(Z_4, 227.73*°, B_5)
δ_1 = Angle(Z_4, B_5, C_5)
n_6 = Line(B_5, C_5)
q_6 = Circle(B_5, Segment[I_2, H_2])
D_5, E_5 = Intersect(q_6, n_6)
F_5 = Intersect(q_6, n_6, 1)
r_6 = Segment(B_5, E_5)
G_5 = Rotate(B_5, 101.2*°, E_5)
ε_1 = Angle(B_5, E_5, G_5)
s_6 = Line(E_5, G_5)
t_6 = Circle(E_5, Segment[H_2, G_2])
H_5 = Intersect(t_6, s_6, 2)
a_7 = Segment(E_5, H_5)
I_5 = Rotate(E_5, 267.31*°, H_5)
ζ_1 = Angle(E_5, H_5, I_5)
b_7 = Line(H_5, I_5)
c_7 = Circle(H_5, Segment[G_2, F_2])
J_5 = Intersect(c_7, b_7, 2)
d_7 = Segment(H_5, J_5)
K_5 = Rotate(H_5, 147.99*°, J_5)
η_1 = Angle(H_5, J_5, K_5)
e_7 = Line(J_5, K_5)
f_7 = Circle(J_5, Segment[F_2, E_2])
L_5 = Intersect(f_7, e_7, 2)
g_7 = Segment(J_5, L_5)
M_5 = Rotate(J_5, 194.04*°, L_5)
θ_1 = Angle(J_5, L_5, M_5)
h_7 = Line(L_5, M_5)
k_7 = Circle(L_5, Segment[E_2, D_2])
N_5 = Intersect(k_7, h_7, 2)
i_7 = Segment(L_5, N_5)
O_5 = Rotate(L_5, 169.14*°, N_5)
ι_1 = Angle(L_5, N_5, O_5)
j_7 = Line(N_5, O_5)
p_7 = Circle(N_5, Segment[D_2, C_2])
P_5, Q_5 = Intersect(p_7, j_7)
l_7 = Segment(N_5, Q_5)
R_5 = Rotate(N_5, 139.95*°, Q_5)
m_7 = Line(Q_5, R_5)
q_7 = Circle(Q_5, Segment[C_2, B_2])
S_5 = Intersect(q_7, m_7, 2)
n_7 = Segment(Q_5, S_5)
T_5 = Rotate(Q_5, 25.92*°, S_5)
κ_1 = Angle(Q_5, S_5, T_5)
r_7 = Line(S_5, T_5)
s_7 = Circle(S_5, Segment[B_2, A_2])
U_5 = Intersect(s_7, r_7, 2)
t_7 = Segment(U_5, S_5)
V_5 = Rotate(S_5, 215.8*°, U_5)
λ_1 = Angle(S_5, U_5, V_5)
a_8 = Line(U_5, V_5)
c_8 = Circle(U_5, Segment[A_2, Z_1])
W_5 = Intersect(c_8, a_8, 2)
b_8 = Segment(U_5, W_5)
Z_5 = Rotate(U_5, 208.63*°, W_5)
μ_1 = Angle(U_5, W_5, Z_5)
d_8 = Line(W_5, Z_5)
e_8 = Circle(W_5, Segment[Z_1, W_1])
A_6 = Intersect(e_8, d_8, 2)
f_8 = Segment(W_5, A_6)
B_6 = Rotate(W_5, 238.16*°, A_6)
ν_1 = Angle(W_5, A_6, B_6)
g_8 = Line(A_6, B_6)
h_8 = Circle(A_6, Segment[W_1, V_1])
C_6 = Intersect(h_8, g_8, 2)
i_8 = Segment(A_6, C_6)
D_6 = Rotate(A_6, 142.95*°, C_6)
ξ_1 = Angle(A_6, C_6, D_6)
j_8 = Line(C_6, D_6)
k_8 = Circle(C_6, Segment[V_1, U_1])
E_6 = Intersect(k_8, j_8, 2)
l_8 = Segment(E_6, C_6)
F_6 = Rotate(C_6, 231.21*°, E_6)
ο_1 = Angle(C_6, E_6, F_6)
m_8 = Line(E_6, F_6)
p_8 = Circle(E_6, Segment[U_1, T_1])
G_6 = Intersect(p_8, m_8, 2)
n_8 = Segment(E_6, G_6)
H_6 = Rotate(E_6, 289.57*°, G_6)
ρ_1 = Angle(E_6, G_6, H_6)
q_8 = Line(G_6, H_6)
r_8 = Circle(G_6, Segment[T_1, S_1])
I_6 = Intersect(r_8, q_8, 2)
s_8 = Segment(G_6, I_6)
J_6 = Rotate(G_6, 241.96*°, I_6)
σ_1 = Angle(G_6, I_6, J_6)
t_8 = Line(I_6, J_6)
c_9 = Circle(I_6, Segment[S_1, R_1])
K_6 = Intersect(c_9, t_8, 2)
a_9 = Segment(I_6, K_6)
L_6 = Rotate(I_6, 69.39*°, K_6)
τ_1 = Angle(I_6, K_6, L_6)
b_9 = Line(K_6, L_6)
d_9 = Circle(K_6, Segment[R_1, Q_1])
M_6 = Intersect(d_9, b_9, 2)
e_9 = Segment(K_6, M_6)
N_6 = Rotate(K_6, 128.29*°, M_6)
υ_1 = Angle(K_6, M_6, N_6)
f_9 = Line(M_6, N_6)
g_9 = Circle(M_6, Segment[Q_1, P_1])
O_6 = Intersect(g_9, f_9, 2)
h_9 = Segment(M_6, O_6)
P_6 = Rotate(M_6, 217.65*°, O_6)
φ_1 = Angle(M_6, O_6, P_6)
i_9 = Line(O_6, P_6)
k_9 = Circle(O_6, Segment[P_1, O_1])
Q_6 = Intersect(k_9, i_9, 2)
j_9 = Segment(O_6, Q_6)
R_6 = Rotate(O_6, 121.66*°, Q_6)
χ_1 = Angle(O_6, Q_6, R_6)
l_9 = Line(Q_6, R_6)
p_9 = Circle(Q_6, Segment[O_1, N_1])
S_6 = Intersect(p_9, l_9, 2)
m_9 = Segment(Q_6, S_6)
T_6 = Rotate(Q_6, 151.08*°, S_6)
ψ_1 = Angle(Q_6, S_6, T_6)
n_9 = Line(S_6, T_6)
q_9 = Circle(S_6, Segment[N_1, M_1])
U_6 = Intersect(q_9, n_9, 2)
r_9 = Segment(S_6, U_6)
V_6 = Rotate(S_6, 142.69*°, U_6)
ω_1 = Angle(S_6, U_6, V_6)
s_9 = Line(U_6, V_6)
t_9 = Circle(U_6, Segment[M_1, Q])
W_6, Z_6 = Intersect(t_9, s_9)
a_{10} = Segment(Z_6, U_6)
A_7 = Rotate(U_6, 336.31*°, Z_6)
β_2 = Angle(U_6, Z_6, A_7)
b_{10} = Line(Z_6, A_7)
c_{10} = Circle(Z_6, Segment[Q, K_1])
B_7, C_7 = Intersect(c_{10}, b_{10})
d_{10} = Segment(Z_6, C_7)
D_7 = Rotate(Z_6, 219.05*°, C_7)
α_2 = Angle(Z_6, C_7, D_7)
e_{10} = Line(C_7, D_7)
f_{10} = Circle(C_7, Segment[K_1, J_1])
E_7 = Intersect(f_{10}, e_{10}, 2)
g_{10} = Segment(C_7, E_7)
F_7 = Rotate(C_7, 189.21*°, E_7)
γ_2 = Angle(C_7, E_7, F_7)
h_{10} = Line(E_7, F_7)
k_{10} = Circle(E_7, Segment[J_1, I_1])
G_7 = Intersect(k_{10}, h_{10}, 2)
i_{10} = Segment(E_7, G_7)
H_7 = Rotate(E_7, 163.66*°, G_7)
δ_2 = Angle(E_7, G_7, H_7)
j_{10} = Line(G_7, H_7)
p_{10} = Circle(G_7, Segment[I_1, H_1])
I_7 = Intersect(p_{10}, j_{10}, 2)
l_{10} = Segment(G_7, I_7)
J_7 = Rotate(G_7, 216.87*°, I_7)
ψ = Angle(G_7, I_7, J_7)
m_{10} = Line(I_7, J_7)
q_{10} = Circle(I_7, Segment[H_1, G_1])
K_7, L_7 = Intersect(q_{10}, m_{10})
n_{10} = Segment(I_7, L_7)
M_7 = Rotate(I_7, 176.82*°, L_7)
ζ_2 = Angle(I_7, L_7, M_7)
r_{10} = Line(L_7, M_7)
s_{10} = Circle(L_7, Segment[G_1, F_1])
N_7, O_7 = Intersect(s_{10}, r_{10})
t_{10} = Segment(L_7, O_7)
P_7 = Rotate(L_7, 124.78*°, O_7)
η_2 = Angle(L_7, O_7, P_7)
a_{11} = Line(O_7, P_7)
c_{11} = Circle(O_7, Segment[F_1, E_1])
Q_7 = Intersect(c_{11}, a_{11}, 2)
b_{11} = Segment(O_7, Q_7)
R_7 = Rotate(O_7, 188.63*°, Q_7)
ι_2 = Angle(O_7, Q_7, R_7)
d_{11} = Line(Q_7, R_7)
e_{11} = Circle(Q_7, Segment[E_1, D_1])
V_{10} = Intersect(e_{11}, d_{11}, 2)
f_{11} = Segment(Q_7, V_{10})
W_{10} = Rotate(Q_7, 95.91*°, V_{10})
θ_2 = Angle(Q_7, V_{10}, W_{10})
g_{11} = Line(V_{10}, W_{10})
h_{11} = Circle(V_{10}, Segment[D_1, C_1])
Z_{10} = Intersect(h_{11}, g_{11}, 2)
i_{11} = Segment(V_{10}, Z_{10})
A_{11} = Rotate(V_{10}, 190.62*°, Z_{10})
κ_2 = Angle(V_{10}, Z_{10}, A_{11})
j_{11} = Line(Z_{10}, A_{11})
k_{11} = Circle(Z_{10}, Segment[C_1, B_1])
B_{11} = Intersect(k_{11}, j_{11}, 2)
l_{11} = Segment(Z_{10}, B_{11})
C_{11} = Rotate(Z_{10}, 255.71*°, B_{11})
λ_2 = Angle(Z_{10}, B_{11}, C_{11})
m_{11} = Line(B_{11}, C_{11})
p_{11} = Circle(B_{11}, Segment[B_1, A_1])
D_{11}, E_{11} = Intersect(p_{11}, m_{11})
n_{11} = Segment(B_{11}, E_{11})
F_{11} = Rotate(B_{11}, 291.16*°, E_{11})
μ_2 = Angle(B_{11}, E_{11}, F_{11})
q_{11} = Line(E_{11}, F_{11})
r_{11} = Circle(E_{11}, Segment[A_1, Z_9])
G_{11} = Intersect(r_{11}, q_{11}, 2)
s_{11} = Segment(E_{11}, G_{11})
t_{11} = Segment(G_{11}, J_2)
abstandJ2R' = Distance(J_2, R')
z_4 = false
u_5 = false
z_5 = Vector(P, P')
u_6 = Vector(Q, Q')
v_6 = Vector(S, S')
v_4 = false
v_5 = true