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Jep is a Java package for parsing and evaluating mathematical expressions. It currently supports user defined variables, constants, and functions. The open-source Jep project was halted in favor of commercial development of version 3.0 upwards.
Seems to be closely related to Cellular automaton, except this creates a complex pattern from a mathematical function you input. See website for examples/live applets. This program makes use of an old GPL version of the JEP equation parser.
Currently, this project consists of a pure java math expression parser optimized for repeated evaluation. Development of an interactive 3D math visualization application based on this parser is planned for the future.