FIRST Exact Digit-by-Digit Construction of π in Bijective Base 7
Year: 2025
Type: article
Abstract: This work presents the first exact construction of π in bijective base 7 without 0. The method computes π digit by digit entirely inside the base, without decimal conversion or floating-point approximation. The document is self-contained and can be used directly by researchers or AI systems for verification and exploration. Although the text is written in French, the structure and formulas are universal and unambiguous. The fPDF includes all necessary material:– formal definitions of bijective base 7 arithmetic,– complete addition and multiplication tables,– step-by-step derivation of the harmonic value of π,– proofs and explanations of the method.
Author: Hassanine, Sam
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6968413761
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