Consider a real-analytic function f.
Consider An nth cyclic fixpoint A.
N >= 4.
Connect those n fixpoints : A , f(A) , ... With a straith line.
That makes a polygon.
Consider the cyclic points that make convex polygons.
Call them convex cyclic points.
Call the polygons : cyclic polygons.
Conjecture : Every cyclic polygon within a cyclic polygon of order n , is cyclic of order m :
M =< N.
Regards
Tommy1729
Consider An nth cyclic fixpoint A.
N >= 4.
Connect those n fixpoints : A , f(A) , ... With a straith line.
That makes a polygon.
Consider the cyclic points that make convex polygons.
Call them convex cyclic points.
Call the polygons : cyclic polygons.
Conjecture : Every cyclic polygon within a cyclic polygon of order n , is cyclic of order m :
M =< N.
Regards
Tommy1729