This article provides practical examples of common dimensionality reduction algorithms in Python using a wine dataset consisting of 13 features or dimensions representing three different types of wines. The goal is to use dimensionality reduction along with the Kmeans clustering algorithm to reveal hidden wine groups within the dataset. Linear techniques such as PCA, ICA, and TruncatedSVD are covered, followed by non-linear techniques including Multidimensional scaling, T-SNE, and UMAP. The article emphasizes that dimensionality reduction is not a one-size-fits-all solution and the choice of method depends on the nature of the data and the specific problem being addressed.