Pantherkäfig
Author: Prof. Dr. Dörte Haftendorn
Date: 26.9.05

Alle Polynome 4. Grades, die überhaupt Wendestellen haben, stecken in der gezeigten Weise in  einem "Pantherkäfig" . Näheres siehe "Polynome im Affenkasten"

f(x)=\frac {r}{12} *  x* (-2 w*x^2+ 8*s)

Ha 09/05

r = 0.5999999999999998
w = 3
s = 4.000000000000002
f(x) = r / 12 x (x³ - 2 w x² + 8 s)
A, B, C = Root(f)
W_1, W_2 = TurningPoint(f)
a = Tangent(W_1, f)
b = Tangent(W_2, f)
S_1, G, S_3 = Intersect(f, b)
H, S_2 = Intersect(f, a)
c = OrthogonalLine(S_1, xAxis)
d = OrthogonalLine(S_2, xAxis)
e = OrthogonalLine(W_2, xAxis)
D = Intersect(xAxis, c)
u = Vector(D, W_1)
I = Translate(S_1, u)
v = Vector(S_1, I)
J = Translate(I, u)
z = Vector(I, J)
K = Translate(J, u)
g = Vector(J, K)
L, M, N = Extremum(f)