trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Golden Fibonacci Modulus Period

Odd Fibonacci values carry an exact fourfold return of the Fibonacci matrix.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Exact period at an odd Fibonacci modulus

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Arith: Golden ApparitionArith: Golden ApparitionGolden Fibonacci Modulus PeriodGolden Fibonacci Modulus PeriodPisano period and Fibonacci matrix orderPisano period and Fibonaccimatrix orderGolden Cubic Block Period IterationGolden Cubic Block PeriodIterationGolden Cubic Block Prime PeriodsGolden Cubic Block PrimePeriodsFinite-support square periodsFinite-support square periodsLargest-prime period iterationLargest-prime period iterationPrime-power Fibonacci matrix periodPrime-power Fibonacci matrixperiod
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Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/GoldenFibonacciModulusPeriod
Repository path
D5/S3/Arith/GoldenFibonacciModulusPeriod.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.