$1$

$sin18°=\frac{\sqrt5-1}{4}$
$\overline{AB}=1,\overline{BC}=2$
$\overline{AC}=\overline{AD}=\sqrt5$
$\overline{DE}=1,\overline{AF}=4$
$\overline{AE}=\overline{A'E}=(\sqrt5-1)$

P = (7.96, -1.36)
Q = Point(Ray[P + (0.2, 0), P + (1, 0)])
a = Segment(P, Q)
A = (-0.16, 0.26)
b: y = y(A)
B: A + (a, 0)
C: B + (0, 2 * a)
c = Circle(A, C)
D = Intersect(c, b, 2)
E: D - (a, 0)
d: x = x(E)
e = Circle(A, 4 * a)
F, G = Intersect(e, d)
A' = Mirror(A, d)
poly1, f, a_1, a' = Polygon(A, A', F)
α = Angle(A, F, A')
g = Segment(A, C)
h = Segment(B, C)