There are two categories of Multidimensional Visualizations. The first looks at category proportions, or category counts. The second examines the relationships between the variables.
Examples of visualizations that show category proportions or counts: pie chart, Wordles, bar chart, histogram, rank plot, tree map.
Examples of visualizations that show relationships between variables: scatter plot, line chart, step chart, area chart, heat map, matrices, parallel coordinates/sets, radar/spider chart, box and whisper plots, mosaic display, waterfall chart, pixel bar chart, tabular comparison of charts.