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Guilloché Patterns

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The Spirograph toy that most people are familiar with produces regular, circular patterns that are sometimes called Guilloché patterns. The concept dates back as far as the 1700's and machines have been produced that can etch these patterns in metal, wood or even glass. The patterns are sometimes used at the background for stocks, bond, currency, checks and money orders because they are difficult to counterfeit. Here is a generalized equation for producing Guilloché patterns. 


 Here is Wikipedia Page with more information on Guilloché patterns.


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