Logistic map zoom to magnification 1,000,000,000

Zoom into the complete logistic map bifurcation diagram from which the Feigenbaum constant, δ = 201…, is calculated. The universal Feigenbaum constant indicates the rate at which branches of the tree split (“How to calculate ..“ is at #Feigenbaum_constant ). The animation is of the complete logistic map starting across its full range (a = -2 to 4). The graph is drawn by repeating the simple calculation: a × x × (1 - x) which gives a new value of x. More than 1000 successive values of x are plotted vertically, against a set value of a, plotted horizontally. The Feigenbaum constant, δ, is a universal constant (= 201 609 102 990 671 853 203 821 578 … ) and is deeply connected to many natural processes that display chaotic dynamics. There is also a related constant, the second Feigenbaum alpha constant, α = 907 … . Further information at