trureturingGitHub MATHEMATICAL ATLAS

Depth / CONCEPT

Periodic Continued Fractions Are Quadratic

Eventually periodic continued fractions yield nondegenerate quadratic equations through integer Mobius transfers.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Eventual periodicity forces quadratic irrationality

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The Golden Continued FractionThe Golden Continued FractionPeriodic Continued Fractions Are QuadraticPeriodic Continued FractionsAre QuadraticDiscriminants Under Mobius PullbackDiscriminants Under MobiusPullback
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Depth
Node ID
D5/S1/Depth/ContinuedFractions/PeriodicImpliesQuadratic
Repository path
D5/S1/Depth/ContinuedFractions/PeriodicImpliesQuadratic.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.