Building the Champernowne constant digit by digit
First 1000 digits – digit 1 appears most due to numbers 1-9, 10-19... Distribution normalises as n grows.
Champernowne constant: digit frequencies (first 100 digits)
In the first 100 digits, digit 1 appears 14 times. The imbalance disappears as more digits are included.
Two-digit sequence frequencies ≈ 1% each (normality emerging)
Selected 2-digit diagonal pairs in the first 10,000 digits of Champernowne's constant. Each pair appears close to 1% of the time. Full normality emerges at much larger scales.
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