Champernowne Constant

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The Champernowne constant is the number 0.123456789101112…, whose digits come from concatenating the positive integers. This Demonstration shows a pie chart that accumulates the constant's digits. When the number of digits grows, the slices cut the pie chart into parts that become more nearly equal, indicating the constant's statistical normality in base 10 for single digits. No proof of normality is known for this number in other bases.

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


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