Reptiliendrehung

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

Arbeitsauftrag:
1) Bewege mit dem Zugmodus den gelben Punkt.
     Beschreibe genau, was du beobachtest.



2) Probiere aus: Drehe nun das Reptil auf die Grundfigur 
     und führe anschließend die Drehung auf die Bildfigur aus.
     Welchen Weg beschreiben die Schwanzspitze (Punkt Q) 
     oder die Punkte P,R und S?  (Spur ein)
     Könntest du diesen Weg auch konstruieren?



3) Um welchen Drehwinkel haben sich die einzelnen Punkte
    gedreht? Kannst du eine Aussage für den Drehwinkel der
    Figur treffen?

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

Lösung Drehzentrum und Drehwinkel

Reptil einblenden

Klicke mit der rechten Maustaste auf den entsprechenden 
Punkt des drehbaren Reptils und klicke dann auf 'Spur ein'.

Spur ein

Betrachte zunächst den Winkel QZQ'.

Tipp

Hintergrundbild

b = 109 (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)
Z = (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 = (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, Z, F, G, H, I, J, K, L, M, N, S, 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(Z, F)
M_2 = Point(Circle[Z, 477.68])
m_2 = Segment(Z, M_2)
E'_1 = Rotate(Z, 126.25*°, M_2)
β = Angle(Z, M_2, E'_1)
abstandFG = Distance(F, G)
n_2 = Line(M_2, E'_1)
p_2 = Circle(M_2, 126.93)
N_2, O_2 = Intersect(p_2, n_2)
abstandGH = Distance(G, H)
P_2 = Rotate(M_2, 137.29*°, O_2)
γ = Angle(M_2, O_2, P_2)
q_2 = Line(O_2, P_2)
r_2 = Circle(O_2, 363.98)
Q_2, R_2 = Intersect(r_2, q_2)
s_2 = Segment(M_2, O_2)
t_2 = Segment(O_2, R_2)
abstandHI = Distance(H, I)
S_2 = Rotate(O_2, 121.3*°, R_2)
δ = Angle(O_2, R_2, S_2)
a_3 = Line(R_2, S_2)
c_3 = Circle(R_2, 406.07)
T_2, U_2 = Intersect(c_3, a_3)
d_3 = Segment(R_2, U_2)
V_2 = Rotate(R_2, 264.81*°, U_2)
ε = Angle(R_2, U_2, V_2)
abstandIJ = Distance(I, J)
e_3 = Line(U_2, V_2)
f_3 = Circle(U_2, 101.45)
W_2, Z_2 = Intersect(f_3, e_3)
g_3 = Segment(U_2, Z_2)
A_3 = Rotate(U_2, 220.99*°, Z_2)
ζ = Angle(U_2, Z_2, A_3)
abstandJK = Distance(J, K)
h_3 = Line(Z_2, A_3)
k_3 = Circle(Z_2, 125.27)
B_3, C_3 = Intersect(k_3, h_3)
i_3 = Segment(Z_2, C_3)
D_3 = Rotate(Z_2, 125.27*°, C_3)
j_3 = Line(C_3, D_3)
abstandKL = Distance(K, L)
p_3 = Circle(C_3, 145.48)
abstandLM = Distance(L, M)
abstandMN = Distance(M, N)
abstandNO = Distance(N, S)
abstandOP = Distance(S, 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)
E_3 = Rotate(Z_2, 170.07*°, C_3)
α = Angle(Z_2, C_3, E_3)
l_3 = Line(C_3, E_3)
o_2 = Distance(K, L)
q_3 = Circle(C_3, 145.48)
F_3 = Intersect(q_3, l_3, 2)
m_3 = Segment(C_3, F_3)
G_3 = Rotate(C_3, 264.29*°, F_3)
θ = Angle(C_3, F_3, G_3)
u_2 = Distance(L, M)
r_3 = Circle(F_3, 106.16)
n_3 = Line(F_3, G_3)
H_3 = Intersect(r_3, n_3, 2)
s_3 = Segment(F_3, H_3)
I_3 = Rotate(F_3, 234.46*°, H_3)
ι = Angle(F_3, H_3, I_3)
t_3 = Line(H_3, I_3)
v_2 = Distance(M, N)
c_4 = Circle(H_3, 124.53)
J_3 = Intersect(c_4, t_3, 2)
a_4 = Segment(J_3, H_3)
K_3 = Rotate(H_3, 100.19*°, J_3)
κ = Angle(H_3, J_3, K_3)
w_2 = Distance(N, S)
b_4 = Line(J_3, K_3)
d_4 = Circle(J_3, 304.34)
L_3 = Intersect(d_4, b_4, 2)
e_4 = Segment(L_3, J_3)
M_3 = Rotate(J_3, 85.6*°, L_3)
η = Angle(J_3, L_3, M_3)
f_4 = Line(L_3, M_3)
z_2 = Distance(S, P_9)
g_4 = Circle(L_3, 233.42)
N_3 = Intersect(g_4, f_4, 2)
h_4 = Segment(L_3, N_3)
O_3 = Rotate(L_3, 124.82*°, N_3)
μ = Angle(L_3, N_3, O_3)
i_4 = Line(N_3, O_3)
o_3 = Distance(P_9, Q_9)
k_4 = Circle(N_3, 217.99)
P_3 = Intersect(k_4, i_4, 2)
j_4 = Segment(N_3, P_3)
Q_3 = Rotate(N_3, 188.96*°, P_3)
ν = Angle(N_3, P_3, Q_3)
l_4 = Line(P_3, Q_3)
u_3 = Distance(Q_9, R_9)
p_4 = Circle(P_3, 238.74)
R_3 = Intersect(p_4, l_4, 2)
m_4 = Segment(P_3, R_3)
S_3 = Rotate(P_3, 96.08*°, R_3)
ξ = Angle(P_3, R_3, S_3)
n_4 = Line(R_3, S_3)
v_3 = Distance(R_9, S_9)
q_4 = Circle(R_3, 364.84)
T_3 = Intersect(q_4, n_4, 2)
r_4 = Segment(R_3, T_3)
U_3 = Rotate(R_3, 186.45*°, T_3)
ο = Angle(R_3, T_3, U_3)
s_4 = Line(T_3, U_3)
w_3 = Distance(S_9, T)
t_4 = Circle(T_3, 97.11)
V_3 = Intersect(t_4, s_4, 2)
a_5 = Segment(T_3, V_3)
W_3 = Rotate(T_3, 259.01*°, V_3)
ρ = Angle(T_3, V_3, W_3)
b_5 = Line(V_3, W_3)
z_3 = Distance(T, U)
c_5 = Circle(V_3, 305.56)
Z_3 = Intersect(c_5, b_5, 2)
d_5 = Segment(V_3, Z_3)
A_4 = Rotate(V_3, 291.3*°, Z_3)
σ = Angle(V_3, Z_3, A_4)
e_5 = Line(Z_3, A_4)
o_4 = Distance(U, V)
f_5 = Circle(Z_3, 217.14)
B_4 = Intersect(f_5, e_5, 2)
g_5 = Segment(Z_3, B_4)
C_4 = Rotate(Z_3, 155.06*°, B_4)
τ = Angle(Z_3, B_4, C_4)
h_5 = Line(B_4, C_4)
u_4 = Distance(V, R)
k_5 = Circle(B_4, 350.16)
D_4 = Intersect(k_5, h_5, 2)
i_5 = Segment(B_4, D_4)
E_4 = Rotate(B_4, 120.87*°, D_4)
υ = Angle(B_4, D_4, E_4)
j_5 = Line(D_4, E_4)
abstandWZ = Distance(R, Z_9)
p_5 = Circle(D_4, 355.11)
F_4 = Intersect(p_5, j_5, 2)
l_5 = Segment(D_4, F_4)
G_4 = Rotate(D_4, 204*°, F_4)
φ = Angle(D_4, F_4, G_4)
m_5 = Line(F_4, G_4)
abstandZA1 = Distance(Z_9, A_1)
q_5 = Circle(F_4, 220.49)
H_4 = Intersect(q_5, m_5, 2)
n_5 = Segment(F_4, H_4)
I_4 = Rotate(F_4, 68.84*°, H_4)
χ = Angle(F_4, H_4, I_4)
r_5 = Line(H_4, I_4)
abstandA1B1 = Distance(A_1, B_1)
s_5 = Circle(H_4, 303.69)
J_4 = Intersect(s_5, r_5, 2)
t_5 = Segment(J_4, H_4)
K_4 = Rotate(H_4, 104.29*°, J_4)
ψ = Angle(H_4, J_4, K_4)
a_6 = Line(J_4, K_4)
abstandB1C1 = Distance(B_1, C_1)
c_6 = Circle(J_4, 105.94)
L_4 = Intersect(c_6, a_6, 2)
b_6 = Segment(L_4, J_4)
M_4 = Rotate(J_4, 169.38*°, L_4)
ω = Angle(J_4, L_4, M_4)
d_6 = Line(L_4, M_4)
abstandC1D1 = Distance(C_1, D_1)
e_6 = Circle(L_4, 362.7)
N_4 = Intersect(e_6, d_6, 2)
f_6 = Segment(N_4, L_4)
O_4 = Rotate(L_4, 264.09*°, N_4)
α_1 = Angle(L_4, N_4, O_4)
g_6 = Line(N_4, O_4)
abstandE1D1 = Distance(E_1, D_1)
h_6 = Circle(N_4, 245.76)
P_4 = Intersect(h_6, g_6, 2)
i_6 = Segment(P_4, N_4)
Q_4 = Rotate(N_4, 171.37*°, P_4)
β_1 = Angle(N_4, P_4, Q_4)
j_6 = Line(P_4, Q_4)
abstandE1F1 = Distance(E_1, F_1)
k_6 = Circle(P_4, 211.49)
R_4 = Intersect(k_6, j_6, 2)
l_6 = Segment(P_4, R_4)
S_4 = Rotate(P_4, 235.22*°, R_4)
γ_1 = Angle(P_4, R_4, S_4)
m_6 = Line(R_4, S_4)
abstandF1G1 = Distance(F_1, G_1)
p_6 = Circle(R_4, 236.44)
T_4 = Intersect(p_6, m_6, 2)
n_6 = Segment(R_4, T_4)
U_4 = Rotate(R_4, 183.18*°, T_4)
δ_1 = Angle(R_4, T_4, U_4)
q_6 = Line(T_4, U_4)
abstandH1G1 = Distance(H_1, G_1)
r_6 = Circle(T_4, 86.99)
V_4 = Intersect(r_6, q_6, 2)
s_6 = Segment(T_4, V_4)
W_4 = Rotate(T_4, 143.13*°, V_4)
ε_1 = Angle(T_4, V_4, W_4)
t_6 = Line(V_4, W_4)
abstandH1I1 = Distance(H_1, I_1)
c_7 = Circle(V_4, 69.59)
Z_4 = Intersect(c_7, t_6, 2)
a_7 = Segment(V_4, Z_4)
A_5 = Rotate(V_4, 196.34*°, Z_4)
ζ_1 = Angle(V_4, Z_4, A_5)
b_7 = Line(Z_4, A_5)
abstandI1J1 = Distance(I_1, J_1)
d_7 = Circle(Z_4, 161.77)
B_5 = Intersect(d_7, b_7, 2)
e_7 = Segment(Z_4, B_5)
C_5 = Rotate(Z_4, 170.79*°, B_5)
η_1 = Angle(Z_4, B_5, C_5)
f_7 = Line(B_5, C_5)
abstandJ1K1 = Distance(J_1, K_1)
g_7 = Circle(B_5, 97.11)
D_5 = Intersect(g_7, f_7, 2)
h_7 = Segment(B_5, D_5)
E_5 = Rotate(B_5, 140.95*°, D_5)
θ_1 = Angle(B_5, D_5, E_5)
i_7 = Line(D_5, E_5)
abstandK1L1 = Distance(K_1, Q)
k_7 = Circle(D_5, 397.35)
F_5 = Intersect(k_7, i_7, 2)
j_7 = Segment(D_5, F_5)
G_5 = Rotate(D_5, 23.69*°, F_5)
ι_1 = Angle(D_5, F_5, G_5)
l_7 = Line(F_5, G_5)
abstandL1M1 = Distance(Q, M_1)
p_7 = Circle(F_5, 317.77)
H_5 = Intersect(p_7, l_7, 2)
m_7 = Segment(H_5, F_5)
I_5 = Rotate(F_5, 217.31*°, H_5)
λ_1 = Angle(F_5, H_5, I_5)
n_7 = Line(H_5, I_5)
abstandM1N1 = Distance(M_1, N_1)
q_7 = Circle(H_5, 300.14)
J_5 = Intersect(q_7, n_7, 2)
r_7 = Segment(H_5, J_5)
K_5 = Rotate(H_5, 208.92*°, J_5)
μ_1 = Angle(H_5, J_5, K_5)
s_7 = Line(J_5, K_5)
abstandN1O1 = Distance(N_1, O_1)
t_7 = Circle(J_5, 164.13)
L_5 = Intersect(t_7, s_7, 2)
a_8 = Segment(L_5, J_5)
M_5 = Rotate(J_5, 238.34*°, L_5)
ν_1 = Angle(J_5, L_5, M_5)
b_8 = Line(L_5, M_5)
abstandO1P1 = Distance(O_1, P_1)
c_8 = Circle(L_5, 301.65)
N_5 = Intersect(c_8, b_8, 2)
d_8 = Segment(N_5, L_5)
O_5 = Rotate(L_5, 142.35*°, N_5)
κ_1 = Angle(L_5, N_5, O_5)
e_8 = Line(N_5, O_5)
f_8 = Circle(N_5, Segment[P_1, Q_1])
P_5 = Intersect(f_8, e_8, 2)
g_8 = Segment(N_5, P_5)
Q_5 = Rotate(N_5, 231.71*°, P_5)
ο_1 = Angle(N_5, P_5, Q_5)
h_8 = Line(P_5, Q_5)
k_8 = Circle(P_5, Segment[Q_1, R_1])
R_5 = Intersect(k_8, h_8, 2)
i_8 = Segment(P_5, R_5)
S_5 = Rotate(P_5, 290.61*°, R_5)
ξ_1 = Angle(P_5, R_5, S_5)
j_8 = Line(R_5, S_5)
p_8 = Circle(R_5, Segment[R_1, S_1])
T_5 = Intersect(p_8, j_8, 2)
l_8 = Segment(R_5, T_5)
U_5 = Rotate(R_5, 118.04*°, T_5)
ρ_1 = Angle(R_5, T_5, U_5)
m_8 = Line(T_5, U_5)
q_8 = Circle(T_5, Segment[S_1, T_1])
V_5 = Intersect(q_8, m_8, 2)
n_8 = Segment(T_5, V_5)
W_5 = Rotate(T_5, 70.43*°, V_5)
σ_1 = Angle(T_5, V_5, W_5)
r_8 = Line(V_5, W_5)
s_8 = Circle(V_5, Segment[T_1, U_1])
Z_5 = Intersect(s_8, r_8, 2)
t_8 = Segment(V_5, Z_5)
A_6 = Rotate(V_5, 128.79*°, Z_5)
τ_1 = Angle(V_5, Z_5, A_6)
a_9 = Line(Z_5, A_6)
c_9 = Circle(Z_5, Segment[U_1, V_1])
B_6 = Intersect(c_9, a_9, 2)
b_9 = Segment(Z_5, B_6)
C_6 = Rotate(Z_5, 217.05*°, B_6)
υ_1 = Angle(Z_5, B_6, C_6)
d_9 = Line(B_6, C_6)
e_9 = Circle(B_6, Segment[V_1, W_1])
D_6 = Intersect(e_9, d_9, 2)
f_9 = Segment(B_6, D_6)
E_6 = Rotate(B_6, 121.84*°, D_6)
φ_1 = Angle(B_6, D_6, E_6)
g_9 = Line(D_6, E_6)
h_9 = Circle(D_6, Segment[W_1, Z_1])
F_6 = Intersect(h_9, g_9, 2)
i_9 = Segment(D_6, F_6)
G_6 = Rotate(D_6, 151.37*°, F_6)
χ_1 = Angle(D_6, F_6, G_6)
j_9 = Line(F_6, G_6)
k_9 = Circle(F_6, Segment[Z_1, A_2])
H_6 = Intersect(k_9, j_9, 2)
l_9 = Segment(F_6, H_6)
I_6 = Rotate(F_6, 144.2*°, H_6)
ψ_1 = Angle(F_6, H_6, I_6)
m_9 = Line(H_6, I_6)
p_9 = Circle(H_6, Segment[A_2, B_2])
J_6 = Intersect(p_9, m_9, 2)
n_9 = Segment(H_6, J_6)
K_6 = Rotate(H_6, 334.08*°, J_6)
ω_1 = Angle(H_6, J_6, K_6)
q_9 = Line(J_6, K_6)
r_9 = Circle(J_6, Segment[B_2, C_2])
L_6 = Intersect(r_9, q_9, 2)
s_9 = Segment(J_6, L_6)
M_6 = Rotate(J_6, 220.05*°, L_6)
α_2 = Angle(J_6, L_6, M_6)
t_9 = Line(L_6, M_6)
c_{10} = Circle(L_6, Segment[C_2, D_2])
N_6 = Intersect(c_{10}, t_9, 2)
a_{10} = Segment(L_6, N_6)
O_6 = Rotate(L_6, 190.86*°, N_6)
β_2 = Angle(L_6, N_6, O_6)
b_{10} = Line(N_6, O_6)
d_{10} = Circle(N_6, Segment[D_2, E_2])
P_6 = Intersect(d_{10}, b_{10}, 2)
e_{10} = Segment(N_6, P_6)
Q_6 = Rotate(N_6, 165.96*°, P_6)
γ_2 = Angle(N_6, P_6, Q_6)
f_{10} = Line(P_6, Q_6)
g_{10} = Circle(P_6, Segment[E_2, F_2])
R_6 = Intersect(g_{10}, f_{10}, 2)
h_{10} = Segment(P_6, R_6)
S_6 = Rotate(P_6, 212.01*°, R_6)
δ_2 = Angle(P_6, R_6, S_6)
i_{10} = Line(R_6, S_6)
k_{10} = Circle(R_6, Segment[F_2, G_2])
T_6 = Intersect(k_{10}, i_{10}, 2)
j_{10} = Segment(R_6, T_6)
U_6 = Rotate(R_6, 92.69*°, T_6)
ε_2 = Angle(R_6, T_6, U_6)
l_{10} = Line(T_6, U_6)
p_{10} = Circle(T_6, Segment[G_2, H_2])
V_6 = Intersect(p_{10}, l_{10}, 2)
m_{10} = Segment(V_6, T_6)
W_6 = Rotate(T_6, 258.8*°, V_6)
ζ_2 = Angle(T_6, V_6, W_6)
n_{10} = Line(V_6, W_6)
q_{10} = Circle(V_6, Segment[H_2, I_2])
Z_6, A_7 = Intersect(q_{10}, n_{10})
r_{10} = Segment(V_6, A_7)
B_7 = Rotate(V_6, 132.27*°, A_7)
η_2 = Angle(V_6, A_7, B_7)
s_{10} = Line(A_7, B_7)
t_{10} = Circle(A_7, Segment[I_2, P])
C_7 = Intersect(t_{10}, s_{10}, 2)
a_{11} = Segment(A_7, C_7)
D_7 = Rotate(A_7, 90.27*°, C_7)
θ_2 = Angle(A_7, C_7, D_7)
b_{11} = Line(C_7, D_7)
c_{11} = Circle(C_7, Segment[P, K_2])
E_7, F_7 = Intersect(c_{11}, b_{11})
d_{11} = Segment(C_7, F_7)
G_7 = Rotate(C_7, 190.97*°, F_7)
ι_2 = Angle(C_7, F_7, G_7)
e_{11} = Line(F_7, G_7)
f_{11} = Circle(F_7, Segment[K_2, L_2])
H_7 = Intersect(f_{11}, e_{11}, 2)
g_{11} = Segment(F_7, H_7)
I_7 = Rotate(F_7, 138.83*°, H_7)
κ_2 = Angle(F_7, H_7, I_7)
h_{11} = Line(H_7, I_7)
k_{11} = Circle(H_7, Segment[L_2, A])
J_7, K_7 = Intersect(k_{11}, h_{11})
i_{11} = Segment(K_7, H_7)
L_7 = Rotate(H_7, 94.32*°, K_7)
λ_2 = Angle(H_7, K_7, L_7)
j_{11} = Line(K_7, L_7)
p_{11} = Circle(K_7, Segment[A, B])
M_7 = Intersect(p_{11}, j_{11}, 2)
l_{11} = Segment(K_7, M_7)
N_7 = Rotate(K_7, 237.34*°, M_7)
μ_2 = Angle(K_7, M_7, N_7)
m_{11} = Line(M_7, N_7)
q_{11} = Circle(M_7, Segment[B, C])
O_7, P_7 = Intersect(q_{11}, m_{11})
n_{11} = Segment(P_7, M_7)
Q_7 = Rotate(M_7, 228.81*°, P_7)
ν_2 = Angle(M_7, P_7, Q_7)
r_{11} = Line(Q_7, P_7)
s_{11} = Circle(P_7, Segment[C, D])
R_7 = Intersect(s_{11}, r_{11}, 1)
t_{11} = Segment(P_7, R_7)
a_{12} = Segment(R_7, Z)
A' = Rotate(A, 120*°, Z)
B' = Rotate(B, 120*°, Z)
C' = Rotate(C, 120*°, Z)
D' = Rotate(D, 120*°, Z)
E' = Rotate(Z, 120*°, Z)
F' = Rotate(F, 120*°, Z)
G' = Rotate(G, 120*°, Z)
H' = Rotate(H, 120*°, Z)
I' = Rotate(I, 120*°, Z)
J' = Rotate(J, 120*°, Z)
K' = Rotate(K, 120*°, Z)
L' = Rotate(L, 120*°, Z)
M' = Rotate(M, 120*°, Z)
N' = Rotate(N, 120*°, Z)
S' = Rotate(S, 120*°, Z)
P'_1 = Rotate(P_9, 120*°, Z)
Q'_1 = Rotate(Q_9, 120*°, Z)
R'_1 = Rotate(R_9, 120*°, Z)
S'_1 = Rotate(S_9, 120*°, Z)
T' = Rotate(T, 120*°, Z)
U' = Rotate(U, 120*°, Z)
V' = Rotate(V, 120*°, Z)
R' = Rotate(R, 120*°, Z)
Z' = Rotate(Z_9, 120*°, Z)
S_7 = Rotate(A_1, 120*°, Z)
T_7 = Rotate(B_1, 120*°, Z)
U_7 = Rotate(C_1, 120*°, Z)
V_7 = Rotate(D_1, 120*°, Z)
W_7 = Rotate(E_1, 120*°, Z)
Z_7 = Rotate(F_1, 120*°, Z)
A_8 = Rotate(G_1, 120*°, Z)
B_8 = Rotate(H_1, 120*°, Z)
C_8 = Rotate(I_1, 120*°, Z)
D_8 = Rotate(J_1, 120*°, Z)
E_8 = Rotate(K_1, 120*°, Z)
Q' = Rotate(Q, 120*°, Z)
G_8 = Rotate(M_1, 120*°, Z)
H_8 = Rotate(N_1, 120*°, Z)
I_8 = Rotate(O_1, 120*°, Z)
J_8 = Rotate(P_1, 120*°, Z)
K_8 = Rotate(Q_1, 120*°, Z)
L_8 = Rotate(R_1, 120*°, Z)
M_8 = Rotate(S_1, 120*°, Z)
N_8 = Rotate(T_1, 120*°, Z)
O_8 = Rotate(U_1, 120*°, Z)
P_8 = Rotate(V_1, 120*°, Z)
Q_8 = Rotate(W_1, 120*°, Z)
R_8 = Rotate(Z_1, 120*°, Z)
S_8 = Rotate(A_2, 120*°, Z)
T_8 = Rotate(B_2, 120*°, Z)
U_8 = Rotate(C_2, 120*°, Z)
V_8 = Rotate(D_2, 120*°, Z)
W_8 = Rotate(E_2, 120*°, Z)
Z_8 = Rotate(F_2, 120*°, Z)
A_9 = Rotate(G_2, 120*°, Z)
B_9 = Rotate(H_2, 120*°, Z)
C_9 = Rotate(I_2, 120*°, Z)
P' = Rotate(P, 120*°, Z)
E_9 = Rotate(K_2, 120*°, Z)
F_9 = Rotate(L_2, 120*°, Z)
Vieleck1', 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', B', C', D', E', F', G', H', I', J', K', L', M', N', S', P'_1, Q'_1, R'_1, S'_1, T', U', V', R', Z', S_7, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8, E_8, Q', 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', E_9, F_9)
g_{13} = Segment(Z, Q)
h_{13} = Segment(Z, Q')
k_{13} = Circle(Z, Q)
λ = Angle(Q, Z, Q')
w_4 = false
Reptil = true
v_4 = false
z_4 = false
o_5 = true