Vergrößern und verkleinern

getroffen!

Diese vergrößerte Figur soll nun wieder auf die Originalgröße
verkleinert werden.
Wie hängen Vergrößerungs- und Verkleinerungsfaktor zusammen?

Neu

A = Intersect(xAxis, yAxis)
zz = Random(10, 20)
nn = Random(4, 9)
g = GCD(zz, nn)
z: zz / g
n: nn / g
B = Point(xAxis)
a = 0.28 (slider from 0 to 1, step 0.001)
f: z / n
f': round((1 / f * 100)) / 100
C = (2, 2)
D = (4, 2)
E = (4, 4)
F = (2, 4)
G = (3, 3)
I = (0.0651896513078496, 2.321933338624708)
J = (1.0651896513078496, 1.3219333386247056)
K = (1.0651896513078496, 0.3219333386247052)
L = (2.0651896513078487, 0.3219333386247052)
M = (2.0651896513078487, 1.3219333386247056)
N = (3.0651896513078505, 2.321933338624708)
O = (3.0651896513078505, 3.321933338624715)
P = (2.0651896513078487, 3.321933338624715)
Q = (2.0651896513078487, 2.321933338624708)
R = (1.0651896513078496, 2.321933338624708)
S = (1.0651896513078496, 3.321933338624715)
T = (0.0651896513078496, 3.321933338624715)
figur, i, j, k, l, m, n_1, o, p, q, r, s, t = Polygon(I, J, K, L, M, N, O, P, Q, R, S, T)
I' = Dilate(I, f, A)
J' = Dilate(J, f, A)
K' = Dilate(K, f, A)
L' = Dilate(L, f, A)
M' = Dilate(M, f, A)
N' = Dilate(N, f, A)
O' = Dilate(O, f, A)
P' = Dilate(P, f, A)
Q' = Dilate(Q, f, A)
R' = Dilate(R, f, A)
S' = Dilate(S, f, A)
T' = Dilate(T, f, A)
figur', i', j', k', l', m', n', o', p', q', r', s', t' = Polygon(I', J', K', L', M', N', O', P', Q', R', S', T')
I'' = Dilate(I', 1 / f, B)
J'' = Dilate(J', 1 / f, B)
K'' = Dilate(K', 1 / f, B)
L'' = Dilate(L', 1 / f, B)
M'' = Dilate(M', 1 / f, B)
N'' = Dilate(N', 1 / f, B)
O'' = Dilate(O', 1 / f, B)
P'' = Dilate(P', 1 / f, B)
Q'' = Dilate(Q', 1 / f, B)
R'' = Dilate(R', 1 / f, B)
S'' = Dilate(S', 1 / f, B)
T'' = Dilate(T', 1 / f, B)
figur'', i'', j'', k'', l'', m'', n'', o'', p'', q'', r'', s'', t'' = Polygon(I'', J'', K'', L'', M'', N'', O'', P'', Q'', R'', S'', T'')
I''_1 = Dilate(I', a, B)
J''_1 = Dilate(J', a, B)
K''_1 = Dilate(K', a, B)
L''_1 = Dilate(L', a, B)
M''_1 = Dilate(M', a, B)
N''_1 = Dilate(N', a, B)
O''_1 = Dilate(O', a, B)
P''_1 = Dilate(P', a, B)
Q''_1 = Dilate(Q', a, B)
R''_1 = Dilate(R', a, B)
S''_1 = Dilate(S', a, B)
T''_1 = Dilate(T', a, B)
figur''_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 = Polygon(I''_1, J''_1, K''_1, L''_1, M''_1, N''_1, O''_1, P''_1, Q''_1, R''_1, S''_1, T''_1)
Text2: "Die\; blaue\;Figur\; wird\;  mit\;  dem\;  Faktor\;  \frac{" + (LaTeX[z]) + "}{" + (LaTeX[n]) + "} ≈ " + (LaTeX[z / n]) + " \; vergrößert."
c = Segment(A, T')
b = Segment(A, L')
d = Segment(B, K')
e = Segment(B, O')