File:Plastic Rauzy cub.png
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Captions
Captions
Rauzy fractal for a substitution rule associated with a trisection of the Padovan / Van der Laan sequence.
Summary
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| Description |
English: The production rule is (a ↦ ab) (b ↦ acb) (c ↦ ac) with initiator c, iterated for 18 generations. The incidence matrix M [1,1,1; 1,1,0; 0,1,1] has characteristic polynomial f(x) = x3 − 3x2 + 2x − 1 and dominant eigenvalue λ = ρ3 ≈ 2.32472 (the plastic ratio-cubed). See OEIS: Binomial transform of the Padovan sequence.
The central tile and its three subtiles have areas in the ratios ρ5 : ρ2 : ρ : 1. The viewport width is 2.2 and the origin is at the cross. |
| Date | |
| Source | Own work |
| Author | Zilverspreeuw |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
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| current | 13:24, 1 June 2024 | | 2,000 × 1,750 (78 KB) | Zilverspreeuw (talk | contribs) | Uploaded own work with UploadWizard |
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