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File:Supergolden Rauzy sqr.png

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Description
English: The production rule is (a ↦ cab) (b ↦ a) (c ↦ ab) with initiator b, iterated for 20 generations. The incidence matrix M [1,1,1; 1,0,1; 1,0,0] has characteristic polynomial f(x) = x3 − x2 − 2x − 1 and dominant eigenvalue λ = ψ2 ≈ 2.14790 (the supergolden ratio-squared). See OEIS: Bisection of Narayana's cows sequence. The central tile and its three subtiles have areas in the ratios ψ4 : ψ2 : ψ : 1. The viewport height is 2.5 and the origin is at the cross.
Date
Source Own work
Author Zilverspreeuw

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Captions

Rauzy fractal for a substitution rule associated with a bisection of the Narayana sequence.

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26 May 2024

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current15:07, 26 May 2024Thumbnail for version as of 15:07, 26 May 20242,000 × 2,000 (63 KB)ZilverspreeuwUploaded own work with UploadWizard
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