A method of recommending and generating visual displays of data by executing a visualization tool that operates as part of a comprehensive Web-based computing platform can be accessed via a website, customizable interface, email, telephone, or other remote communication device. The visualization tool operates by accessing the data source and then executing an analysis engine to parse numerical and other forms of data. If necessary, a data mining tool can also be used to download data and a semantic template editor can be used to generate a template for parsing any type of data. The data and data format are identified, and the visualization tool executes a recommendation engine that considers the data and data format and recommends suitable visual display styles and visual display options and recommends additional compatible algorithms. Additionally, users can provide their own compatible algorithms for data processing. The user then selects one or more display styles or graphs and display options. If there are compatible algorithms, the user can select a pre-programmed algorithm or a user-generated algorithm as well. The computation engine executes the algorithms, performs calculations associated with the chosen visual display style, and outputs a file according to a given API protocol. A presentation program uses the output file to generate a visual display. Finally, the visualization tool delivers the display to the user, saves the display, and / or publishes the display.