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探索分形世界

by 涛 殷 more by this developer →

#485,836 of 723,712 by ratings on Apple · #45,745 of 72,686 in Education

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Category: Education

Description

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。

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