File:Plastic Rauzy sqr.png

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Summary

Description
English: The production rule is (a ↦ ac) (b ↦ ab) (c ↦ b) with initiator c, iterated for 27 generations. The incidence matrix M [1,1,0; 0,1,1; 1,0,0] has characteristic polynomial f(x) = x3 − 2x2 + x − 1 and dominant eigenvalue λ = ρ2 ≈ 1.75488 (the plastic ratio-squared). See OEIS: Bisection of the Padovan sequence. The central tile and its three subtiles have areas in the ratios ρ5 : ρ2 : ρ : 1. The viewport width is 2 and the origin is at the cross.
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Author Zilverspreeuw

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Captions

Rauzy fractal for a substitution rule associated with a bisection of the Padovan / Van der Laan sequence.

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26 May 2024

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current15:04, 26 May 2024Thumbnail for version as of 15:04, 26 May 20242,000 × 1,750 (15 KB)ZilverspreeuwUploaded own work with UploadWizard

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