The Feigenbaum Reduction Parameter (α) is =2.502907875095892822283902873218
In mathematics, specifically bifurcation theory, the Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map. They are named after the mathematician Mitchell Feigenbaum.
The second Feigenbaum constant or Feigenbaum reduction parameter(sequence A006891 in OEIS),
α = 2.502907875095892822283902873218...,
is the ratio between the width of a tine and the width of one of its two subtines (except the tine closest to the fold). A negative sign applied to \alpha when the ratio between the lower subtine and the width of the tine is measured.[5]
These numbers apply to a large class of dynamical systems (for example, dripping faucets to population growth)