File:Secant Star.png

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Original file(4,096 × 4,096 pixels, file size: 1.39 MB, MIME type: image/png)

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English: I always knew that Newton's method could be used to generate fractals in the complex plain, as it is very sensitive to initial conditions. This made me wonder if other root finding methods could produce similar fractals. This is the result of using the secant method on the function (x^4 - 1). Each point in the map represents the first input, and the origin is used for the second input. It produces this beautiful, multifaceted star pattern, that is reminiscent of a stained glass window you might find in a cathedral.
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Source https://www.flickr.com/photos/145745023@N04/34209044184/
Author bjacobdawson

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This file is licensed under the Creative Commons Attribution-Share Alike 2.0 Generic 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.
This image was originally posted to Flickr by bjacobdawson at https://flickr.com/photos/145745023@N04/34209044184. It was reviewed on 27 November 2022 by FlickreviewR 2 and was confirmed to be licensed under the terms of the cc-by-sa-2.0.

27 November 2022

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Date/TimeThumbnailDimensionsUserComment
current04:00, 27 November 2022Thumbnail for version as of 04:00, 27 November 20224,096 × 4,096 (1.39 MB)Юрий Д.К. (talk | contribs)Uploaded a work by bjacobdawson from https://www.flickr.com/photos/145745023@N04/34209044184/ with UploadWizard

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