File:Mandelbrotzoom 20191023.webm
Original file (WebM audio/video file, VP9, length 9 min 16 s, 3,840 × 2,160 pixels, 38.9 Mbps overall, file size: 2.52 GB)
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Summary
[edit]DescriptionMandelbrotzoom 20191023.webm |
Deutsch: Ein Video, das die Tiefen der Mandelbrotmenge thematisiert.
Der Zoom reicht bis zum Zoomfaktor 2,18×10163. Unter der Berücksichtigung der Tatsache, dass ein Zoomfaktor von 2 ein Viertel des Gesamtfraktals anzeigt (und ein Zoomfaktor von 4 ein Sechzehntel anzeigt), kann man sagen, dass man bei einem Zoomfaktor von x genau 1/x² (oder x-2) des Gesamtfraktals sieht. Bei einem Zoomfaktor von 2,18×10163 sieht man also etwa 2,1042×10-325% des Gesamtfraktals. Mit Hilfe der in der Beschreibungen beiliegenden KFR-Datei lassen sich Endposition und Farbzusammensetzung des Fraktal(-zooms) rekonstruieren. Zusätzlich wurde im Programm "Key Frames Movie Maker", das zur Erstellung des Videos eingesetzt wurde, "Wave coloring" aktiviert (mit den Werten: H(ue) 2; S(aturation) 4; B(rightness) 8; W(ave) 16). Weitere Informationen: Bildbreite: 3840 Bildhöhe: 2160 Bildrate: 60 Bilder pro Sekunde Farbtiefe: 24 Bit. Die im Video benutzte Schriftart heißt "Noto Sans". English: A video illustrating the depth of the Mandelbrot set.
The zoom is equivalent to the zoom factor of 2.18E163. While a factor of 2 shows 1/4 of the whole fractal (and a factor of 4 the 1/16th part) is a factor of x showing 1/x² of the surface. So the end section shows about 2.1042E-325% in relation of the section of the whole fractal (zoom factor 1). With the given KFR file, it is possible to recreate fractal position and coloring. With the software "Key Frames Movie Maker" (which was the video producing software), the additional property of "Wave Coloring" has been added (Values: H(ue) 2; S(aturation) 4; B(rightness) 8; W(ave) 16). More information:
The used font in this video is called "Noto Sans". Čeština: Video zachycující stále větší “ponoření“ (zvětšení detailu pohledu) do zobrazení Mandelbrotovy množiny.
Эрзянь: Ванмось, кона невти Мандельбротонь ламочинть (Mandelbrot set) домканзо.
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Date | |
Source | Own work |
Author | PantheraLeo1359531 |
Assessment
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This file was selected as the media of the day for 21 November 2019. It was captioned as follows:
English: A video illustrating the depth of the Mandelbrot set.
Other languages
Čeština: Video zachycující stále větší “ponoření“ (zvětšení detailu pohledu) do zobrazení Mandelbrotovy množiny. English: A video illustrating the depth of the Mandelbrot set. Эрзянь: Ванмось, кона невти Мандельбротонь ламочинть (Mandelbrot set) домканзо.
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KFR-Datei: |
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Re: -0.75648329700669002390121336968202462932861659256578495867993155894485745875787301842016892673659675787729884076956037665583958189027190025737957050377452820493145741418227414500963768402668 Im: 0.07022304439379352298962151824181659994806700564218010337941362183744062573973151210842958043573092210803063916676405463131290081742110883799598978284912664061025912104791334157833253332103 Zoom: 2.1821050142910012E163 Iterations: 298014 IterDiv: 3.000000 SmoothMethod: 0 ColorMethod: 0 Differences: 0 ColorOffset: 0 Rotate: 0.000000 Ratio: 360.000000 Colors: 175,158,78,122,47,149,69,65,26,88,178,26,110,253,33,242,181,243,21,208,45,150,76,9, InteriorColor: 0,0,0, Smooth: 1 MultiColor: 0 BlendMC: 0 MultiColors: Power: 2 FractalType: 0 Slopes: 1 SlopePower: 100 SlopeRatio: 50 SlopeAngle: 45 imag: 1 real: 1 SeedR: 0 SeedI: 0 FactorAR: 1 FactorAI: 0 Period: 0 |
Licensing
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 15:13, 23 October 2019 | 9 min 16 s, 3,840 × 2,160 (2.52 GB) | PantheraLeo1359531 (talk | contribs) | User created page with UploadWizard |
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