File:Sandpile group identity on 4096x4096 grid.png
Jump to navigation
Jump to search
Size of this preview: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels | 4,096 × 4,096 pixels.
Original file (4,096 × 4,096 pixels, file size: 687 KB, MIME type: image/png)
Captions
Captions
Add a one-line explanation of what this file represents
Summary
[edit]
| Description |
Русский: Нейтральный элемент в группе песчаной кучи сетки 4096×4096. Золотистый цвет соответствует 3 песчинкам в клетке, фиолетовый — 2, зелёный — 1, чёрный — 0. Если прибавить нейтральный элемент к любой возвратной песчаной куче, то после осыпания куча примет прежний вид. Для многих бинарных операций нейтральный элемент устроен очень просто (так, это ноль для сложения чисел и единица для умножения), но модель песчаной кучи — классический пример группы, в которой нейтральный элемент устроен сложно. В изображении видны регулярные и фрактальные структуры, однако их присутствие пока не объяснено и не доказано.
Сгенерировано программой github.com/colt-browning/sandpile. Сжато при помощи tinypng.com.
English: The neutral element of the Abelian sandpile group on the 4096×4096 grid. Golden color corresponds to 3 grains in the cell, purple to 2, green to 1, black to 0. If one adds the neutral element to any recurrent sandpile, that sandpile will return to its original form after stabilization. For many binary operations, the neutral (or identity) element is very simple (e. g., it is zero in the case of the addition of numbers, or unity in the case of the multiplication), but the sandpile model is the classical example of a group which has a very complex neutral element. One can see some regular and fractal structures in the image, but their presence has not yet been explained or proved.
Generated by github.com/colt-browning/sandpile. Compressed by tinypng.com. |
| Date | |
| Source | Own work |
| Author | colt_browning |
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International 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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:01, 29 November 2019 | | 4,096 × 4,096 (687 KB) | Colt browning (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on ru.wikipedia.org
