Feigenbaum attractor ($F={\bigcap }_n{\bigcup }_{i=0}^{2^n-1}{\Delta }_i^{(n)}$)

The Feigenbaum attractor is the compact Cantor set obtained from the nested restrictive-interval partitions of the Feigenbaum map. Every level interval has two descendant intervals. Their lengths vary with symbolic address, so a geometric topological pressure is useful for estimating its Hausdorff dimension.