Abstract: Various mechanisms are provided for navigating among visualizations of quantitative data. At least one relationship is defined among a plurality of visualizations. A virtual multi-faceted shape is constructed, having a plurality of surfaces, some or all of which may correspond to visualizations. Visualizations may be presented, for example, by projecting or texture mapping the visualizations on corresponding surfaces of the shape. In at least one embodiment, surfaces are spatially oriented with one another in a manner that represents a relationship between the corresponding two visualizations. The user can interact with the virtual shape, for example by causing it to rotate, zoom, move, or the like. Such interactions cause different visualizations to be displayed.

Abstract: Various mechanisms are described for generating metadata describing relationships among data sets. Quantitative data can be analyzed to determine relationships, and metadata representing the determined relationships can then be stored. Visualizations can then be generated from the metadata, and a navigational model can be defined based on the generated set of visualizations. The navigational models can provide robust visual mechanics for implementing intuitive navigational schemes that facilitate interaction with data on any suitable output device, include small screens as found on smartphones and/or tablets.

Abstract: Various mechanisms are provided for navigating among visualizations of quantitative data. At least one relationship is defined among a plurality of visualizations. A virtual multi-faceted shape is constructed, having a plurality of surfaces, some or all of which may correspond to visualizations. Visualizations may be presented, for example, by projecting or texture mapping the visualizations on corresponding surfaces of the shape. In at least one embodiment, surfaces are spatially oriented with one another in a manner that represents a relationship between the corresponding two visualizations. The user can interact with the virtual shape, for example by causing it to rotate, zoom, move, or the like. Such interactions cause different visualizations to be displayed.

Abstract: Various mechanisms are described for generating metadata describing relationships among data sets. Quantitative data can be analyzed to determine relationships, and metadata representing the determined relationships can then be stored. Visualizations can then be generated from the metadata, and a navigational model can be defined based on the generated set of visualizations. The navigational models can provide robust visual mechanics for implementing intuitive navigational schemes that facilitate interaction with data on any suitable output device, include small screens as found on smartphones and/or tablets.