File:Plastic Rauzy ac.png
Jump to navigation
Jump to search
Size of this preview: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,000 × 2,000 pixels.
Original file (2,000 × 2,000 pixels, file size: 160 KB, MIME type: image/png)
Captions
Captions
Rauzy fractal for a substitution rule associated with the Padovan / Van der Laan sequence.
Summary
[edit]| 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 |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:45, 20 May 2024 | 2,000 × 2,000 (160 KB) | Zilverspreeuw (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on www.wikidata.org