trureturingGitHub MATHEMATICAL ATLAS

Deficit / CONCEPT

Golden Model-Set Self-Similarity

The golden conjugate window has unit volume, and the golden beta range splits into two disjoint self-similar branches.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

The golden beta range is a disjoint self-similar union

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Deficit: Golden Inverse RecurrenceDeficit: Golden InverseRecurrenceThe Two-Face Length Spread Is sqrt(5) log nThe Two-Face Length Spread Issqrt(5) log nLeast-Digit Zeckendorf DecompositionLeast-Digit ZeckendorfDecompositionGolden Model-Set Self-SimilarityGolden Model-Set Self-SimilarityGolden Cut-and-Project InclusionGolden Cut-and-ProjectInclusionDensity of the Golden Model SetDensity of the Golden Model Set
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S1
Domain
Deficit
Node ID
D5/S1/Deficit/ModelSet/GoldenModelSetSelfSimilar
Repository path
D5/S1/Deficit/ModelSet/GoldenModelSetSelfSimilar.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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