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