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File:Supergolden Rauzy cub.png

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Summary

Description
English: The production rule is (a ↦ abca) (b ↦ ba) (c ↦ abc) with initiator b, iterated for 13 generations. The incidence matrix M [2,1,1; 1,1,1; 1,0,1] has characteristic polynomial f(x) = x3 − 4x2 + 3x − 1 and dominant eigenvalue λ = ψ3 ≈ 3.14790 (the supergolden ratio-cubed). See OEIS: First trisection 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 2.6 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 trisection of the Narayana sequence.

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1 June 2024

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Date/TimeThumbnailDimensionsUserComment
current13:20, 1 June 2024Thumbnail for version as of 13:20, 1 June 20242,000 × 2,000 (33 KB)ZilverspreeuwUploaded own work with UploadWizard

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