The estimation of nodal sets for eigenfunctions of elliptic operators is a fundamental problem in unique continuation theory. Recent breakthroughs, notably by A. Logunov, have significantly advanced our understanding of this problem. In this talk, we will present our recent work on the sharp upper bound estimate of nodal sets in Lipschitz polytopes, which are higher-dimensional generalizations of polygons. This result extends the previous ones in quasiconvex domains to general polytopes that are not necessarily quasiconvex. This is a joint work with Jingping Zhuge.