Period tripling and quintupling renormalizations below $ C^2 $ space

<p style='text-indent:20px;'>In this paper, we explore the period tripling and quintupling renormalizations below <inline-formula><tex-math id="M1">\begin{document}$ C^2 $\end{document}</tex-math></inline-formula> class of unimodal maps. We show that for a given proper scaling data there exists renormalization fixed point on space piece-wise affine maps which are infinitely renormalizable. Furthermore, is extended to id="M2">\begin{document}$ C^{1+Lip} map, considering combinatorics. Moreover, continuum points by small variation data. Finally, leads fact acting id="M3">\begin{document}$ have unbounded topological entropy.</p>