Witness the onset of Chaos in the Bifurcation Diagram, whenever the number of attractor points goes beyond counting and they disappear from the Cobweb Plot on the left side of the screen!
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Slicing A Cylinder
mapping from r to 1/r: tracing the same circles on the other side of the initial line reveals this
Circular Inversion: Mapping From r To 1/r
The shape and type of the conic section constructed depend upon the position of the second focus!
depending on the positioning of the second focus two different types of conic sections are generated
Logistic Map: Cobweb Plots' Comparison For Different values of r with the same initial value of x
Logistic Map: Cobweb Plot and the number of attractor points