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Aliasing_circles.gif (360 × 359 pixels, file size: 8.77 MB, MIME type: image/gif, looped, 197 frames, 20 s)

Summary

Description
English: An example of aliasing: if you try to represent circles (in this case I am plotting cos(x²+y²) ) on a square grid (e.g. your monitor) and your pixellation is too coarse, you start getting Moiré-like patterns appearing.
Date
Source https://twitter.com/j_bertolotti/status/1463806938114834432
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 12.0 code

L = 7;
frames = Table[
   tmp = Table[Cos[x^2 + y^2]/2 + 0.5, {x, 10^-5, L, \[Delta]}, {y, 10^-5, L, \[Delta]}];
   ArrayPlot[ ArrayFlatten[{{Reverse@Transpose@Reverse@tmp, Reverse@tmp}, {Transpose@Reverse@tmp, tmp}}] , Frame -> False]
   , {\[Delta], 0.01, 0.5, 0.0025}];
ListAnimate[frames]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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.

Captions

Circles sampled with coearser and coarser resolution.

Items portrayed in this file

depicts

25 November 2021

image/gif

0d0707f152045687bb1090befa46f74d9154304a

9,201,170 byte

19.70000000000001 second

359 pixel

360 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current10:49, 26 November 2021Thumbnail for version as of 10:49, 26 November 2021360 × 359 (8.77 MB)BertoUploaded own work with UploadWizard

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