44 分形几何与连分数

毕苏林
Join to follow...
Follow/Unfollow Writer: 毕苏林
By following, you’ll receive notifications when this author publishes new articles.
Don't wait! Sign up to follow this writer.
WriterShelf is a privacy-oriented writing platform. Unleash the power of your voice. It's free!
Sign up. Join WriterShelf now! Already a member. Login to WriterShelf.
爱科学,也爱文艺;重逻辑,也重情感。以最硬核的科幻为壳,写最柔软的人间故事。愿以文字为桥,结识品味相投的读友。
32   0  
·
2026/04/16
·
1 mins read


长久以来,我认为分形几何与连分数有着某种关系。

连分数分形几何

其中 n 为有限正整数,不必趋于无穷。
分形是几何的递归,连分数是算术的递归;
二者结构同源、形态同构。

无限迭代下分形面积趋于零,故面积不直接等于连分数;
但决定分形本质的相似比例,精确由有限级连分数表达。
此为数理统一的直观体现:形即是数,数即是形。


WriterShelf™ is a unique multiple pen name blogging and forum platform. Protect relationships and your privacy. Take your writing in new directions. ** Join WriterShelf**
WriterShelf™ is an open writing platform. The views, information and opinions in this article are those of the author.


Article info

This article is part of:
Categories:

Total: 128 words


Share this article:



Join the discussion now!
Don't wait! Sign up to join the discussion.
WriterShelf is a privacy-oriented writing platform. Unleash the power of your voice. It's free!
Sign up. Join WriterShelf now! Already a member. Login to WriterShelf.