Generalized Digit Parity

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This Demonstration shows fractal patterns in the generalized digit parity of natural numbers.

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The concept of binary parity can be generalized for non-negative integers and for all positive integer bases by the definition: . Plotting these results in two dimensions produces beautiful fractal patterns. This Demonstration explores a subset of these patterns by allowing the setting of starting values and ranges for and .

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Contributed by: Noel Patson (March 2011)
Open content licensed under CC BY-NC-SA


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