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Published June 3, 2026 | Version 1.0

A Nested-Radical Approximation to π from 0.101010 . . . and Its Two-Stage Continued-Fraction Explanation

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Description


A recreational-mathematics note describing a nested-radical approximation involving π and the repeating decimal 0.101010… = 10/99, together with a two-stage continued-fraction interpretation and a refined approximation to π.

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rmm_pi_nested_radical_palsimon.pdf

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Alternative title
A Nested-Radical Approximation to π from 0.101010 . . .

Dates

Accepted
2026-06-03