
Size of this PNG preview of this SVG file: 800 × 533 pixels. Other resolutions: 320 × 213 pixels | 640 × 427 pixels | 1,024 × 683 pixels | 1,280 × 853 pixels | 2,560 × 1,707 pixels | 1,080 × 720 pixels.
Original file (SVG file, nominally 1,080 × 720 pixels, file size: 7 KB)
![]() | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionDoyle spiral (6,8) with spirals colored part1.svg |
English: See en:Doyle spiral, a type of circle packing with the property that each circle is tangent to six other circles, and those six circles form a ring of tangencies. Under these conditions, a Doyle spiral may be parametrized by two natural numbers (p,q) which count the number of sub-spirals, called arms, of each of three types (the third type having q-p arms). In this case, (p,q)=(6,8) and all eight arms of one type are colored.
The image was constructed using a JavaScript program, with coordinates derived from an adaptation of the root-finding and repeated complex-multiplication method at [1]. |
Date | |
Source | Own work |
Author | Ovinus |
Other versions | File:Doyle spiral (6,8) with spirals colored part2.svg, File:Doyle spiral (6,8) with spirals colored part3.svg |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
![]() ![]() |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Captions
Doyle spiral with (p,q) = (6,8), with 8 spirals ("arms") colored, indicating how the arms are counted
Items portrayed in this file
depicts
28 June 2022
image/svg+xml
7,468 byte
720 pixel
1,080 pixel
452295f40c2cc3be786559baec805ac311b71577
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:08, 28 June 2022 | ![]() | 1,080 × 720 (7 KB) | Ovinus | Uploaded own work with UploadWizard |
File usage
The following 4 pages use this file:
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 1080 |
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Height | 720 |
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