分形理论 - 百度百科
分形理论(Fractal Theory)是当今十分风靡和活跃的新理论、新学科。 分形的概念是美籍数学家本华·曼德博（法语：Benoit B. Mandelbrot）首先提出的。 分形理论的数学基础是分形几何学，即 …
Fractal - Wikipedia
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many …
What are Fractals? - Fractal Foundation
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by …
Introduction to Fractal Theory - University of Wisconsin–Madison
Introduction to Fractal Theory. What is a fractal? In the most generalized terms, a fractal demostrates a limit. Fractals model complex physical processes and dynamical systems. The …
哲学小径第四十二站：分形理论 - 知乎 - 知乎专栏
分形理论(Fractal Theory)的数学基础是分形几何学，并逐步由分形几何衍生出分形信息、分形设计、分形艺术等各类分形工具。 分形理论最开始起源于一个问题…
Fractal | Mathematics, Nature & Art | Britannica
2024年10月25日 — Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix …
Fractal geometry provides a general framework for the study of such irregular sets. We begin by looking briefly at a number of simple examples of fractals, and note some of their features. The …
We can reconsider our fractal examples from before: Hutchinson’s Theorem I’ll first state Hutchinson’s theorem, then discuss the relevant definitions and concepts.
Why is the study of dimension important or useful? Dimension is at the heart of all fractal geometry, and provides a reasonable basis for an invariant between di erent fractal objects.
The Nature of Fractal Geometry | SpringerLink
2010年1月1日 — Fractals are more than just stunning visual effects – they open up new ways to model nature and allow us to quantify terms like ‘irregular’, ‘rough’ and ‘complicated’, writes …