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【No. 2263】The Dragon in Mandelbrot

Jan 1, 2024 15:57
The Dragon in Mandelbrot

Happy New Year!

As 2024 is the year of the dragon, I drew a dragon using mathematical formulas.

Have you ever heard of a two-dimensional fractal known as the Mandelbrot set?

The Mandelbrot set is a set of complex numbers that do not diverge under a specific condition, and is known to be a self-similar figure.

There is an extension of the Mandelbrot set into three dimensions, which is known as the Mandelbulb.

I created a dragon-like shape by repeatedly fine-tuning the conditions for mathematical sequences and camera positions of the classic Mandelbulb.

It may be a little forced, but I believe that it somehow resembles a dragon.

Please check the images and video from the following link:

https://kano.ac/2024/
マンデルブロのドラゴン

あけましておめでとうございます。

2024年は辰年なので、数式を使ってドラゴンを表現しました。

マンデルブロ集合と呼ばれる二次元のフラクタル図形をご存知でしょうか。

マンデルブロ集合は、複素数列が発散しない条件を満たす複素数全体が作る集合であり、自己相似図形であることが知られています。

このマンデルブロ集合を、三次元的に拡張したものに、マンデルバルブがあります。

私はこのマンデルバルブから、数列の条件や描画位置の微調整を繰り返し、ドラゴンに見える形状を作成しました。

少し無理やりかもしれませんが、なんとなくドラゴンに見えると思っています。

画像や動画は以下のリンクからご確認ください。

https://kano.ac/2024/

Corrections (1)

No. 1 O-Star
  • The Dragon in Mandelbrot
  • This sentence is perfect! No correction needed!
  • The Dragon in Mandelbrot
  • This sentence is perfect! No correction needed!
  • Happy New Year!
  • This sentence is perfect! No correction needed!
  • As 2024 is the year of the dragon, I drew a dragon using mathematical formulas.
  • This sentence is perfect! No correction needed!
  • Have you ever heard of a two-dimensional fractal known as the Mandelbrot set?
  • This sentence is perfect! No correction needed!
  • The Mandelbrot set is a set of complex numbers that do not diverge under a specific condition, and is known to be a self-similar figure.
  • This sentence is perfect! No correction needed!
  • There is an extension of the Mandelbrot set into three dimensions, which is known as the Mandelbulb.
  • This sentence is perfect! No correction needed!
  • I created a dragon-like shape by repeatedly fine-tuning the conditions for mathematical sequences and camera positions of the classic Mandelbulb.
  • This sentence is perfect! No correction needed!
  • It may be a little forced, but I believe that it somehow resembles a dragon.
  • This sentence is perfect! No correction needed!
  • Please check the images and video from the following link:
  • This sentence is perfect! No correction needed!
Toru
Thank you for reading my entry!
今年もよろしくお願いいたします。
O-Star
You're welcome!

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