Abstract: Systems and methods for multi-dimensional computer-aided searching. Computer software forms permutation searches based on topical and categorical data provided via user input. The permutation searches are sequenced to a third party database and the results are used to form a multi-dimensional visualization of the total body of resulting data. Via a graphical user interface and a typically polyhedral multi-dimensional visualization, a large amount of meta-data about the content of the search results can be conveyed via the visualization. The searcher may then use the display to access permutation search results for relevant intersections.