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File:Plastic Rauzy ac.png

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Captions

Captions

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

Summary

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Description
English: The production rule is (a ↦ b) (b ↦ ac) (c ↦ a) with initiator c, iterated for 60 generations. The incidence matrix M [0,1,1; 1,0,0; 0,1,0] has characteristic polynomial f(x) = x3 − x − 1 and dominant eigenvalue ρ = 1.32472 (the plastic ratio). The combined surface and the three separate tiles have areas in the ratios ρ5 : ρ2 : ρ : 1. The viewport height is 3.2 and the origin is at the eye of the swirl.
Date
Source Own work
Author Zilverspreeuw

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Date/TimeThumbnailDimensionsUserComment
current15:45, 20 May 2024Thumbnail for version as of 15:45, 20 May 20242,000 × 2,000 (160 KB)Zilverspreeuw (talk | contribs)Uploaded own work with UploadWizard

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