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File:Rendering von Seite Sierpiński-Pyramide 20230513 002 RGB16.png

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Summary

Description
Deutsch: Rendering einer Sierpinski-Pyramide. Die Pyramiden haben eine quadratische Grundfläche. Die Anzahl an Pyramiden richtet sich nach der Iterationstiefe. Nach Iteration x hat die Sierpinski-Pyramide 5^x Pyramiden. Das Rendering zeigt einen Blick nach unten auf die Spitze. Das Shading des Fraktals entspricht Gold. Das Rendering dauerte 01:55:22 Stunden (6878 Sekunden; mit GeForce RTX 3090 Gigabyte Eagle OC). Diese Pyramide müsste Iterationsstufe 8 darstellen. Der Lichtwurf wurde mit Raytracing realisiert, weshalb das Rendering so lange dauerte. Das Sampling (Antialiasing) beträgt 40.
English: Rendering of a Sierpinski pyramid. The pyramids have a square base. The number of pyramids depends on the iteration depth. After iteration x the Sierpinski pyramid has 5^x pyramids. The rendering shows a downward view of the top. The shading of the fractal corresponds to gold. The rendering took 01:55:22 hours (6878 seconds; with GeForce RTX 3090 Gigabyte Eagle OC). This pyramid should represent iteration level 8. The light design was done with ray tracing, which is why the rendering took so long. The sampling (antialiasing) is 40.
Date
Source Own work
Author PantheraLeo1359531

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Pyramids by iteration and file sizes
Iteration number Pyramids STL file size (bytes)
0 1 ???
1 5 3084
2 25 15084
3 125 75084
4 625 375084
5 3125 1875084
6 15625 9375084
7 78125 46875084
8 390625 234375084
9 1953125 1171875084
10 9765625 5.859.375.084
11 48828125 29296875084
12 244140625 146484375084
13 1220703125 732421875084
14 6103515625 3662109375084
15 30517578125 18310546875084
16 152587890625 91552734375084
17 762939453125 457763671875084

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.

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Captions

Rendering of a Sierpiński pyramid from the side.

Items portrayed in this file

depicts

Sierpinski pyramid

inception

13 May 2023

media type

image/png

File history

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Date/TimeThumbnailDimensionsUserComment
current10:22, 13 May 2023Thumbnail for version as of 10:22, 13 May 202310,000 × 10,000 (74.9 MB)PantheraLeo1359531c:User:Rillke/bigChunkedUpload.js: RGB/8-Farbtiefe für kleinere Dateigröße
10:18, 13 May 2023Thumbnail for version as of 10:18, 13 May 202310,000 × 10,000 (211.32 MB)PantheraLeo1359531Uploaded own work with UploadWizard

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