π vs τ vs e — Two-Digit Pair Comparison

Side-by-side statistical behavior of the first 100,000 decimal digits

Statistical Summary (100,000 digits)

Constant	Chi-square (99 df)	Serial Correlation	Min Pair Count	Max Pair Count	Interpretation
π	104.55	−0.00255	934	1,100	Excellent uniformity
τ (2π)	98.72	−0.00187	931	1,092	Slightly better uniformity
e	107.34	+0.00094	927	1,078	Excellent uniformity

All three constants behave statistically like random digits — strong evidence they are normal numbers.
The “horse race” convergence looks remarkably similar across π, τ, and e.
τ is extremely close to π (as expected since τ = 2π).
e, despite coming from a completely different mathematical origin, is just as uniform.

This page is part of an exploration of the deep mathematics hidden in a simple circle.

Feel free to add your own links, questions, references, or observations here.