An improved data exploration system and method that can be used to analyze and to explore complex data sets involving multiple data dimensions and multi-variable data presentations. The data exploration system generates visual representations of complex data sets in map, table, and tree view formats. In each of these view formats, both the appearance and the arrangement of the symbols representing the data sets are based on the data itself to facilitate the comprehension of patterns and information relationships within the data sets. Further, the data can be viewed at different levels of density to perform detailed analysis of the data, and to detect the presence of overall trends within the data. Moreover, the data exploration system performs a suite of calculation operations to cast the data in different forms, and to facilitate the acquisition, integration, and analysis of the data.