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Visual Thinking for Counting and Categorizing with Mathematica 6

Christopher Haydock
Organization: Applied New Science LLC

2007 Wolfram Technology Conference
Conference location

Champaign, IL


In Stephen Wolfram's book A New Kind of Science he presents very imaginative visual representations for everything from the behavior of simple programs to exploring a vast array of uncharted niches within the computational universe. Mathematica 6 has created new possibilities for this sort of visualization extending even into dynamic visualization that cannot be presenting in ordinary books and printed media. Effective counting and categorizing can reduce the number of simple programs of interest to a few hundred or less that can be viewed as a single computer screen full or as one printed page. This presentation will explore visual icons for thinking about counting and categorizing simple programs. For example, the above icon for a set that contains itself provides a visual way of thinking about a formal aspect of the so-called species of structures, which are required for counting simple programs. Visual thinkers are especially invited to attend this session.

*Applied Mathematics > Visualization
*Wolfram Technology

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VisualThinking.nb (966.5 KB) - Mathematica Notebook [for Mathematica 6.0]