This file was selected for display on the Main Page as the media of the day. Click here for more information.

File:MandelbulbRot 00000-10501 VP9 slow lossless.webm

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file ‎(WebM audio/video file, VP9, length 2 min 55 s, 8,000 × 4,500 pixels, 193.61 Mbps overall, file size: 3.95 GB)

Captions

Captions

Animation showing the influence of the x in the formula v^x ↦ v + c on the appearance of the Mandelbulb, as the value of x increases linearly, starting at 0.

Summary[edit]

Description
Deutsch: Eine #Animation des Mandelbulb-#Fraktal_s. Das Fraktal folgt der iterativen Formel v^x ↦ v + c, wobei x variabel ist (Ausgang: v⁹ ↦ v + c). x wächst im Video konstant pro Frame um 0,002 an, und beginnt bei 0. Pro 500 Frames ist diese Variable um 1 vergrößert worden. Die Spanne reicht von 0 bis 21. Bei wachsendem Variablenwert nähert sich das Fraktal Kreis- und Kugelstrukturen an. Der Anstieg des Wertes ist streng linear. c ist hierbei eine komplexe Zahl. Viel Spaß! Erstellt mit mandelbulber2.

Auch interessant sind die Formen und Konstellationen, die wir im Laufe des Videos zu Gesicht bekommen.

Von 00:00 bis 00:08,333 sehen wir eine Kugel bzw. ein tropfenförmiges geometrisches Primitiv, das sich wie zu einem Punkt zusammenzieht. (Wert der Variable zwischen 0 und 1). Der erreichte Punkt beim Wert 1 erinnert an den singulären Punkt in der Astrophysik, von dem sich das Universum aus durch den Urknall ausbreitet. Ab Wert 1 breitet sich auch das Fraktal aus und erhält bei 00:16,666 die Form der klassischen Mandelbrot-Menge in einer dreidimensionalen Interpretation. Der Wert 1 der Formel gilt auch in etwa als Wendepunkt eines Körpers von einer euklidischen Geometrie zu einer fraktalen Geometrie. Bei v² ↦ v + c ist genau eine waagrechte Symmetrieachse zu sehen.

v⁵ ↦ v + c → 00:41,666 (ca. Frame 2500) In der Mitte ist ein Kreuz zu sehen. Die Linien zeigen in Richtung der Knollen, die als Ecken eines fiktiven Quadrats fungieren könnten. Wir sehen eine Vierheit von mathematischen Gebilden.
v⁶ ↦ v + c → 00:50 (Frame 3000) Wir sehen blumenartige Strukturen, auch etwas organische.
v⁷ ↦ v + c → 00:58,333 (Frame 3500) Wir sehen deutlich sichtbare Symmetrieachsen.
v¹⁹ ↦  v + c → 02:38,333 (Frame 9500) Durch die Annäherung an die Kreisstrukturen sieht das Fraktal entlang der Animation wie ein Erguss aus einem sehr komplexen Auge aus, der sich zu einer fraktalen Struktur ergießt.

Mit einem höheren Wert der Variable gehen auch mehr Symmetrieachsen einher.

Farben: Die Farben sind aus einer Palette von Regenbogenfarben entnommen. Mit einem höheren Wert der Variable schreitet der Farbzyklus voran. Die Farbgebung ist so gewählt, dass gleiche Bereiche gleiche Farbe haben. So sind einige "Lamellen" gleichfarbig.

MandelbulbRot 00000 10501 VP9 slow lossless MUSIC

English: An #animation of the Mandelbulb #fractal. The fractal follows the iterative formula v^x ↦ v + c, where x is variable (Standard: v⁹ ↦ v + c). x grows constantly by 0.002 per frame in the video, starting at 0. For every 500 frames, this variable has increased by 1. The range is from 0 to 21. As the variable value increases, the fractal approaches circular and spherical structures. The increase of the value is strictly linear. c is a complex number here. Have fun! Created with mandelbulber2.


Also interesting are the shapes and constellations that we get to see while the video process progresses.

From 00:00 to 00:08.333 we see a sphere or a drop-shaped geometric primitive that contracts as if to a point. (Value of the variable between 0 and 1). The reached point at the value 1 reminds of the point of singularity in astrophysics, from which the universe spreads out by the big bang. From value 1 also the fractal spreads out and gets at 00:16,666 the form of the classical Mandelbrot set in a three-dimensional interpretation. The value 1 of the formula is also approximately considered as the turning point of a body from a Euclidean geometry to a fractal geometry. At v² ↦ v + c exactly one horizontal symmetry axis can be seen.
v⁵ ↦ v + c → 00:41.666 (approx. Frame 2500) A cross can be seen in the center. The lines point in the direction of the bulbs, which could act as the corners of a fictitious square. We see a quad of mathematical entities.
v⁶ ↦ v + c → 00:50 (Frame 3000) We see flower-like structures, also something organic.
v⁷ ↦ v + c → 00:58.333 (Frame 3500) We see clearly visible symmetry axes.
v¹⁹ ↦ v + c → 02:38,333 (Frame 9500) By approximating the circular structures, the fractal along the animation looks like an outpouring from a very complex eye to a formable fractal structure.

A higher value of the variable is also accompanied by more symmetry axes.

Colors: The colors are taken from a palette of rainbow colors. With a higher value of the variable the color cycle advances. The color scheme is chosen so that equal areas have equal color. Thus, some "slats" are of the same color.

MandelbulbRot 00000 10501 VP9 slow lossless MUSIC

Українська: Анімація фракталу Лампочка Мандельброта. Фрактал відповідає ітераційній формулі v^x ↦ v + c, де "x" є змінною (стандарт: v⁹ ↦ v + c). "x" постійно зростає на 0,002 на кадр у відео, починаючи з 0. Для кожні 500 кадрів ця змінна збільшується на 1. Діапазон становить від 0 до 21. Зі збільшенням значення змінної фрактал наближається до круглих і сферичних структур. Збільшення значення є строго лінійним. "c" тут є комплексним числом. Створено за допомогою «Mandelbulber v2».
Date
Source Own work
Author PantheraLeo1359531
Timed Text
Closed captions are available for this media file.

Click on the CC button in the toolbar of the media player to display or hide them. Create a new translation via the form below. 		Full list of subtitles
  Replace the en part with your language code and press the Go button.
   
In other languages

asturianu ∙ català ∙ čeština ∙ Deutsch ∙ English ∙ español ∙ Esperanto ∙ euskara ∙ français ∙ Frysk ∙ galego ∙ hrvatski ∙ Bahasa Indonesia ∙ italiano ∙ Mirandés ∙ Nederlands ∙ Orunyoro ∙ polski ∙ português ∙ português do Brasil ∙ sicilianu ∙ slovenščina ∙ svenska ∙ Türkçe ∙ Tiếng Việt ∙ български ∙ македонски ∙ русский ∙ українська ∙ हिन्दी ∙ বাংলা ∙ ไทย ∙ Orutooro ∙ 한국어 ∙ 日本語 ∙ 中文 ∙ 中文（中国大陆） ∙ 中文（台灣） ∙ 中文（新加坡） ∙ 中文（简体） ∙ 中文（繁體） ∙ 中文（香港） ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

Assessment[edit]

Media of the day This file was selected as the media of the day for 27 November 2021. It was captioned as follows:
English: An animation of the Mandelbulb fractal. Growth of the variable of the fractal formula v^x ↦ v + c, linear increase in the value of "x" from 0 to 21; Fractal rotated by 90° (view from above).
Other languages
Čeština: Animace rozvoje Mandelbrotova fraktálu podle vzorce v^x ↦ v + c s lineární změnou hodnoty "x" z 0 na 21;. Rotace fraktálu o 90° (při pohledu shora).
English: An animation of the Mandelbulb fractal. Growth of the variable of the fractal formula v^x ↦ v + c, linear increase in the value of "x" from 0 to 21; Fractal rotated by 90° (view from above).
Français : Animation d'une fractale de Mandelbulb.
Эрзянь: Мандельбротонь фрактал анимациясь.
Polski: Animacja trójwymiarowego fraktala Mandelbulb (pol. żarówka Mandelbrota). Fraktal jest opisany wzorem , gdzie zmienia się od 0 do 21. Jest obrócony o 90° (widok z góry).
Русский: Анимация фрактальной оболочки Мандельброта. Рост переменной фрактальной формулы v^x ↦ v + c с диапазоном линейного увеличения значения «x» от 0 до 21. Фрактал повернут на 90°, отображение: вид сверху.
Українська: Анімація фракталу лампочки Мандельброта. Зростання змінної фрактальної формули v^x ↦ v + c, діапазон лінійного збільшення значення "x" від 0 до 21; Фрактал повернутий на 90° (вид зверху).

Featured media
This is a featured media on Wikimedia Commons and is considered one of the finest files.
If you have a file of similar quality that can be published under a suitable copyright license, be sure to upload it, tag it, and nominate it.

Licensing[edit]

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.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:57, 30 October 20212 min 55 s, 8,000 × 4,500 (3.95 GB)PantheraLeo1359531 (talk | contribs)Uploaded own work with UploadWizard

You cannot overwrite this file.

Transcode status

Update transcode status
Format Bitrate Download Status Encode time
VP9 2160P 20.38 Mbps Completed 21:25, 30 October 2021 2 h 24 min 49 s
Streaming 2160p (VP9) 20.38 Mbps Completed 19:51, 16 January 2024 24 s
VP9 1440P 10.19 Mbps Completed 20:28, 30 October 2021 1 h 27 min 50 s
Streaming 1440p (VP9) 10.19 Mbps Completed 07:06, 17 January 2024 13 s
VP9 1080P 5.1 Mbps Completed 20:07, 30 October 2021 1 h 6 min 38 s
Streaming 1080p (VP9) 5.1 Mbps Completed 09:51, 18 March 2024 6.0 s
VP9 720P 2.55 Mbps Completed 19:59, 30 October 2021 59 min 13 s
Streaming 720p (VP9) Not ready Unknown status
VP9 480P 1.28 Mbps Completed 19:49, 30 October 2021 47 min 59 s
Streaming 480p (VP9) Not ready Unknown status
VP9 360P 639 kbps Completed 19:21, 30 October 2021 20 min 54 s
Streaming 360p (VP9) Not ready Unknown status
VP9 240P 321 kbps Completed 19:18, 30 October 2021 17 min 26 s
Streaming 240p (VP9) 322 kbps Completed 04:50, 31 January 2024 1.0 s
WebM 360P 515 kbps Completed 19:30, 30 October 2021 29 min 31 s
Streaming 144p (MJPEG) 1.01 Mbps Completed 16:41, 10 November 2023 6 min 18 s

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:MandelbulbRot_00000-10501_VP9_slow_lossless.webm&oldid=875961146"