如何绘制Wolfram Alpha网格? [MATLAB] [英] How to plot the Wolfram Alpha grid? [MATLAB]

问题描述

我想为此网格绘制任何功能:

I would like to plot for any function this grid :

这是f(z)-> 1/z的特例

This is the special case for f(z) -> 1/z

这是您可以在Wolfram alpha上找到的典型图形.但是，我不知道如何进行.想法是看在应用f之后将1-square的复杂网格的线发送到哪里.

This is a typical graph you can find on wolfram alpha. Nevertheless I don't know how to proceed. The idea would be to see where the lines of the complex grid of the 1-square is sent after applying f.

一件很棒的事情是在网格上添加颜色，以查看左侧部分的发送位置. (例如此处: https://www.youtube.com/watch?v=JX3VmDgiFnY) 如果您有任何想法...谢谢.

One thing that could be great would be to add colors on the grid in order to see where the left part is sent. (like here : https://www.youtube.com/watch?v=JX3VmDgiFnY) If you have any idea... thank you.

推荐答案

尝试下面的代码.我已经更新了答案，以不同的颜色显示线条.

Try the code below. I have updated the answer to show the lines in different colors.

clear
clc

N = 101;
x = linspace(-1, 1, N);
y = x;
[X,Y] = meshgrid(x,y);

Z = X + Y*1i;

f = 1./Z;

U = real(f);
V = imag(f);

%Plot transformed mesh
hold off
plot(U,V,'b-');
hold on
plot(U',V','r-');

xlim([-5,5]);
ylim([-5,5]);
axis equal

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