更改

   --[[用户:木子二月鸟|木子二月鸟]] 哪些算是凸起部分？是不是8个？所以d的变化应该是0-9？如果d的变化是0-8的话，那周边是不是应该有7个凸起部分？

   --[[用户:木子二月鸟|木子二月鸟]] 哪些算是凸起部分？是不是8个？所以d的变化应该是0-9？如果d的变化是0-8的话，那周边是不是应该有7个凸起部分？

==更高维下的曼德布洛特集Higher dimensions==

== 更高维下的曼德布洛特集 ==

There is no perfect extension of the Mandelbrot set into 3D. This is because there is no 3D analogue of the complex numbers for it to iterate on. However, there is an extension of the complex numbers into 4 dimensions, called the quaternions, that creates a perfect extension of the Mandelbrot set and the Julia sets into 4 dimensions.[27] These can then be either cross-sectioned or projected into a 3D structure.

There is no perfect extension of the Mandelbrot set into 3D. This is because there is no 3D analogue of the complex numbers for it to iterate on. However, there is an extension of the complex numbers into 4 dimensions, called the quaternions, that creates a perfect extension of the Mandelbrot set and the Julia sets into 4 dimensions.[27] These can then be either cross-sectioned or projected into a 3D structure.