x

y

q

Polygonzüge

ziehe s oder animiere s bei “Eigenschaften von  s”

W = (-1.6319342730974982, -0.5209517025413309)
V = (-0.5176357882193184, 0.19538303773749802)
U = (1.2864665206310677, 0.5402849497236009)
T = (5.398758548157684, 4.068896818504499)
S = (-0.8094758675921749, 3.19337658038593)
R = (5.504882213384176, 5.8464682110482595)
Q = (-0.22579570884646183, 9.613858326588767)
P = (4.017090319091406, 8.898405624661981)
O = (6.620062736614395, 8.253421308815577)
N = (7.126836127636568, 6.733101135749052)
A = (2, 2)
M = (7.495398593834513, 5.811694970254189)
L = (9.568562466197955, 5.581343428880474)
K = (11.365304488912937, 6.456679286100593)
J = (12.355816116819915, 5.443132504056244)
I = (14.014347214710668, 4.913323958896698)
H = (11.802972417522996, 4.682972417522983)
G = (10.572287227949232, 4.599515144636965)
F = (8.370734451054632, 3.89977717685235)
E = (8.301628988642518, 4.798148188209841)
D = (6.48, 0.64)
C = (3.88, 1.92)
B = (0.8619718597250945, 0.5668158660302242)
B03(x) = If[x < 0, 0, If[x < 1, x^(3) / 6, If[x < 2, ((-x^(3))) / 2 + (2 * x^(2)) - (2 * x) + 2 / 3, If[x < 3, x^(3) / 2 - (4 * x^(2)) + (10 * x) - 22 / 3, If[x ≤ 4, (-1 / 6 * (x - 4)^(3)), 0]]]]]
B223(x) = B03(x - 22)
B213(x) = B03(x - 21)
B203(x) = B03(x - 20)
B193(x) = B03(x - 19)
B183(x) = B03(x - 18)
B173(x) = B03(x - 17)
B163(x) = B03(x - 16)
B153(x) = B03(x - 15)
B143(x) = B03(x - 14)
B133(x) = B03(x - 13)
B123(x) = B03(x - 12)
B113(x) = B03(x - 11)
B103(x) = B03(x - 10)
B93(x) = B03(x - 9)
B83(x) = B03(x - 8)
B73(x) = B03(x - 7)
B63(x) = B03(x - 6)
B53(x) = B03(x - 5)
B43(x) = B03(x - 4)
B33(x) = B03(x - 3)
B23(x) = B03(x - 2)
B13(x) = B03(x - 1)
BSx(t) = (x(A) * B03(t)) + (x(B) * B13(t)) + (x(C) * B23(t)) + (x(D) * B33(t)) + (x(E) * B43(t)) + (x(F) * B53(t)) + (x(G) * B63(t)) + (x(H) * B73(t)) + (x(I) * B83(t)) + (x(J) * B93(t)) + (x(K) * B103(t)) + (x(L) * B113(t)) + (x(M) * B123(t)) + (x(N) * B133(t)) + (x(O) * B143(t)) + (x(P) * B153(t)) + (x(Q) * B163(t)) + (x(R) * B173(t)) + (x(S) * B183(t)) + (x(T) * B193(t)) + (x(U) * B203(t)) + (x(V) * B213(t)) + (x(W) * B223(t))
BSy(t) = (y(A) * B03(t)) + (y(B) * B13(t)) + (y(C) * B23(t)) + (y(D) * B33(t)) + (y(E) * B43(t)) + (y(F) * B53(t)) + (y(G) * B63(t)) + (y(H) * B73(t)) + (y(I) * B83(t)) + (y(J) * B93(t)) + (y(K) * B103(t)) + (y(L) * B113(t)) + (y(M) * B123(t)) + (y(N) * B133(t)) + (y(O) * B143(t)) + (y(P) * B153(t)) + (y(Q) * B163(t)) + (y(R) * B173(t)) + (y(S) * B183(t)) + (y(T) * B193(t)) + (y(U) * B203(t)) + (y(V) * B213(t)) + (y(W) * B223(t))
Bil = (0.18, 0.02)
Bir = (14.15396092934338, 0.11579028881762812)
f = PolyLine(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W)
a = CurveCartesian(BSx(t), BSy(t), t, 3, 22)
Z_h = (-19.5, 5)
B_h = (-16, 1)
I_h = (-11, 3.5)
Q_h = (-15.5, 8)
g = Segment(B_h, I_h)
h = Segment(I_h, Q_h)
i = Segment(Q_h, Z_h)
j = Segment(Z_h, B_h)
A_1 = (-16.740859211081926, 0.3316162079817431)
B_1 = (-16.41007394706991, 0.8895729738495713)
C_1 = (-14.782912904281167, 1.6687768534948852)
D_1 = (-13.774531412975465, 2.081296554483581)
E_1 = (-12.766149921669765, 2.700076105966624)
F_1 = (-12.12445260902068, 2.952171478793049)
G_1 = (-11.62026186336783, 3.1125958069553197)
H_1 = (-11.27649544587725, 3.3188556574496677)
I_1 = (-10.90981126722063, 3.5938687914421314)
J_1 = (-11.780686191530101, 4.373072671087445)
K_1 = (-12.078617086688604, 4.6480858050799085)
L_1 = (-12.582807832341455, 5.083523267234643)
M_1 = (-13.270340667322614, 5.885644908045996)
N_1 = (-13.797449174141505, 6.435671176030923)
O_1 = (-14.5, 7)
P_1 = (-15.310021411100056, 7.719065801329087)
Q_1 = (-15.493363500428366, 7.810736845993241)
R_1 = (-19.20604080932663, 5.381454162393146)
S_1 = (-20.031080211304022, 5.12935878956672)
T_1 = (-19.114369764662477, 4.441825954585561)
U_1 = (-15.814212156752907, 0.5687243175250304)
V_1 = (-14.815424146865558, -0.5774835234908454)
W_1 = (-14.851666187779283, 0.38538222819672124)
l = PolyLine(A_1, B_1, 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)
Qux(t) = (x(A_1) * B03(t)) + (x(B_1) * B13(t)) + (x(C_1) * B23(t)) + (x(D_1) * B33(t)) + (x(E_1) * B43(t)) + (x(F_1) * B53(t)) + (x(G_1) * B63(t)) + (x(H_1) * B73(t)) + (x(I_1) * B83(t)) + (x(J_1) * B93(t)) + (x(K_1) * B103(t)) + (x(L_1) * B113(t)) + (x(M_1) * B123(t)) + (x(N_1) * B133(t)) + (x(O_1) * B143(t)) + (x(P_1) * B153(t)) + (x(Q_1) * B163(t)) + (x(R_1) * B173(t)) + (x(S_1) * B183(t)) + (x(T_1) * B193(t)) + (x(U_1) * B203(t)) + (x(V_1) * B213(t)) + (x(W_1) * B223(t))
Quy(t) = (y(A_1) * B03(t)) + (y(B_1) * B13(t)) + (y(C_1) * B23(t)) + (y(D_1) * B33(t)) + (y(E_1) * B43(t)) + (y(F_1) * B53(t)) + (y(G_1) * B63(t)) + (y(H_1) * B73(t)) + (y(I_1) * B83(t)) + (y(J_1) * B93(t)) + (y(K_1) * B103(t)) + (y(L_1) * B113(t)) + (y(M_1) * B123(t)) + (y(N_1) * B133(t)) + (y(O_1) * B143(t)) + (y(P_1) * B153(t)) + (y(Q_1) * B163(t)) + (y(R_1) * B173(t)) + (y(S_1) * B183(t)) + (y(T_1) * B193(t)) + (y(U_1) * B203(t)) + (y(V_1) * B213(t)) + (y(W_1) * B223(t))
b = CurveCartesian(Qux(t), Quy(t), t, 3, 22)
s = 0.47 (slider from 0 to 1, step 0.01)
B2: ((1 - s) * B_1) + (s * B)
C2: ((1 - s) * C_1) + (s * C)
D2: ((1 - s) * D_1) + (s * D)
E2: ((1 - s) * E_1) + (s * E)
F2: ((1 - s) * F_1) + (s * F)
G2: ((1 - s) * G_1) + (s * G)
H2: ((1 - s) * H_1) + (s * H)
I2: ((1 - s) * I_1) + (s * I)
J2: ((1 - s) * J_1) + (s * J)
K2: ((1 - s) * K_1) + (s * K)
L2: ((1 - s) * L_1) + (s * L)
M2: ((1 - s) * M_1) + (s * M)
N2: ((1 - s) * N_1) + (s * N)
O2: ((1 - s) * O_1) + (s * O)
P2: ((1 - s) * P_1) + (s * P)
Q2: ((1 - s) * Q_1) + (s * Q)
R2: ((1 - s) * R_1) + (s * R)
S2: ((1 - s) * S_1) + (s * S)
T2: ((1 - s) * T_1) + (s * T)
A2: ((1 - s) * A_1) + (s * A)
U2: ((1 - s) * U_1) + (s * U)
V2: ((1 - s) * V_1) + (s * V)
W2: ((1 - s) * W_1) + (s * W)
Zy(t) = (y(A2) * B03(t)) + (y(B2) * B13(t)) + (y(C2) * B23(t)) + (y(D2) * B33(t)) + (y(E2) * B43(t)) + (y(F2) * B53(t)) + (y(G2) * B63(t)) + (y(H2) * B73(t)) + (y(I2) * B83(t)) + (y(J2) * B93(t)) + (y(K2) * B103(t)) + (y(L2) * B113(t)) + (y(M2) * B123(t)) + (y(N2) * B133(t)) + (y(O2) * B143(t)) + (y(P2) * B153(t)) + (y(Q2) * B163(t)) + (y(R2) * B173(t)) + (y(S2) * B183(t)) + (y(T2) * B193(t)) + (y(U2) * B203(t)) + (y(V2) * B213(t)) + (y(W2) * B223(t))
Zx(t) = (x(A2) * B03(t)) + (x(B2) * B13(t)) + (x(C2) * B23(t)) + (x(D2) * B33(t)) + (x(E2) * B43(t)) + (x(F2) * B53(t)) + (x(G2) * B63(t)) + (x(H2) * B73(t)) + (x(I2) * B83(t)) + (x(J2) * B93(t)) + (x(K2) * B103(t)) + (x(L2) * B113(t)) + (x(M2) * B123(t)) + (x(N2) * B133(t)) + (x(O2) * B143(t)) + (x(P2) * B153(t)) + (x(Q2) * B163(t)) + (x(R2) * B173(t)) + (x(S2) * B183(t)) + (x(T2) * B193(t)) + (x(U2) * B203(t)) + (x(V2) * B213(t)) + (x(W2) * B223(t))
c = CurveCartesian(Zx(t), Zy(t), t, 3, 22)
d = false