Topological Data Analysis (TDA) is an emerging field that aims to extract the shape and structure of the data. The key idea here is to build a higher-dimensional graph by connecting more than two nearby data points- resulting in simplicial complexes. There are different ways to build a simplicial complex on a metric space including Vietoris-Rips Complexes, Čech complexes. In this talk, we specifically examine Čech complexes constructed from the finite union of finite metric spaces at scales 2 and 3, using the symmetric difference metric. Our primary focus is on determining the homotopy types of these Čech complexes. Using these homotopy types, we also derived a precise formula for the homotpy types of Čech complex of a hypercube graph. This is a joint work by me and my PhD advisor Dr. Ziqin Feng.