# 探索分形世界

> 探索分形世界 (iPhone/iPad app by 涛 殷.)

- Source: https://appshunter.io/ios/app/id1138598622 (this page in markdown: same URL + `.md`)
- Developer: [涛 殷](https://appshunter.io/developer/478791127)
- Category: Education, Reference
- Price: Free with in-app purchases
- Rating: 5.00/5 from 2 App Store ratings
- Age rating: 4+
- Requires: iOS 13.0 · 293 MB
- Languages: American English, Chinese (Simplified, China)
- Released: 2016-09-02
- Data updated: 2026-06-01
- User reviews in markdown: https://appshunter.io/ios/app/id1138598622/reviews.md

## What is 探索分形世界?

探索分形世界
分形几何不仅展示了数学之美，也揭示了世界的本质，还改变了人们理解自然奥秘的方式；
可以说分形几何是真正描述大自然的几何学,使人们重新审视这个世界：世界是非线性的，分形无处不在。
分形几何种类
逃逸时间系统：复迭代的收敛限界。例如：Mandelbrot集合、Julia集合、Burning Ship分形
迭代函数系统：这些形状一般可以用简单的几何“替换”来实现。例如：康托集合、Koch雪花、谢尔宾斯基三角形、Peano曲线等等。
吸引子：点在迭代的作用下得到的结构。一般可以用微分方程确立。例如：Lorenz吸引子。
高尔顿钉板实验，傅立叶级数可视化，单摆周期研究，复摆与混沌，沙堆图案，
碰撞模拟，纯滚动与摆线，旋转与闪频。
DLA 扩散限制凝聚，2D水波，Rose Curve 玫瑰曲线，Lissajous Figure 利萨如图形，
Phyllotaxis 叶序，Conic Curve 圆锥曲线，Super Shape 超级曲线。

另外收集互联网上常用数学公式，如最美的十个公式，高等数学微积分公式，用LaTex描述，通过浏览器展示.

化学元素周期表，高中物理化学思维导图等。
资料信息来源于互联网，仅供参考。


探索分形世界:
1.选择要欣赏的分形或数学图形，可以修改配置，查看说明。
2.选择公式手册，选择要显示条目，耐心等待公式渲染。

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| RMB18-Ad Free | $2.99 | one-time |



## Version history (last 5 releases)

### 2.2 — 2021-05-25

完善App预览和截屏， 修改本地化bugs

### 2.0 — 2021-05-24

升级应用，修改bugs, 增加内容

### 1.8 — 2020-11-07

完善Dark mode 支持， 修改 Bugs, 替换UIWebView, 例行升级版本。

### 1.6 — 2020-05-25

增加分形沙堆图案，复摆与混沌，碰撞模拟，旋转与频闪，摆线生成等。支持Dark Mode, 调整 UI 界面

### 1.4 — 2019-07-02

增加高尔顿钉板模拟，单摆模拟，傅立叶级数可视化。修改Bug.

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All apps by 涛 殷: https://appshunter.io/developer/478791127

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-01.*