This document discusses multivariate data visualization and challenges in visualizing data with more than 3 dimensions. It outlines goals of multivariate visualization like supporting more than 3 dimensions of data simultaneously, "fuzzyness", and exploratory queries. The document also presents a taxonomy of multivariate visualization techniques including geometric projection, iconographic, pixel oriented, and hierarchical approaches. It concludes that visualizing higher dimensions presents trade-offs between information, simplicity, and accuracy that can be hard to balance for intuitive and task-supportive designs.