File:Doyle spiral (6,8) with spirals colored part3.svg
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Original file (SVG file, nominally 1,080 × 720 pixels, file size: 7 KB)
Captions
Captions
Doyle spiral with (p,q) = (6,8), with 2 spirals ("arms") colored, indicating how the arms are counted
Summary
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| Description |
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 both two 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 part1.svg, File:Doyle spiral (6,8) with spirals colored part2.svg |
_with_spirals_colored_part1.svg){kind=link}
_with_spirals_colored_part2.svg){kind=link}
Licensing
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I, the copyright holder of this work, hereby publish it under the following license:
 
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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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:08, 28 June 2022 | | 1,080 × 720 (7 KB) | Ovinus (talk | contribs) | Uploaded own work with UploadWizard |
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_with_spirals_colored_part3.svg&oldid=688030728){kind=link}