《分形世界》（フラクタル，FRACTALE）是由日本动画公司A-1 Pictures制作的原创电视动画作品，于2011年1月13日播放，全11话。在动画还未开播之前本作的漫画作品已先行推出，由漫画家赤﨑睦美绘制。
分形是数学上的专有名词，它反对传统数学对事物定性的分析与判断，它对僵死的、被动的一切都按部就班的世界提出质疑和挑战。
'Fractal' is a term in Mathematics and it's against the traditional mathematics' rigid analysis and judgement of things, it oppugn and challenge the rigescently, passively step-by-step world.
分形艺术也是近年来世界流行的艺术形式，是科学与艺术完美的结合。
Fractal art is an artistic form, much in fashion in recent years, as well as the perfect combination of science and arts.
分形理论揭示了世界的本质即部分与整体的自相似性，它被誉为大自然的几何学。
The world hypostases (that is, self-similarity of the part and the whole in a system) is revealed with fractal theory which is known as the geometry of nature.
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