How to plot this in MATLAB?

I wanted to draw this graph. If someone could help me with the MATLAB code for this graph with a brief explanation about it?

[Jonas]

looks like there should be a formular for that graph since you got the parameters K=1 and n=5. Can you provide the formular?

[simran]

[Sam Chak]

@simran, Would it be okay for you find some example codes based on the Lemniscate (∞ symbol) and copy/paste them (click the indentation icon )? This will allow us to directly troubleshoot and fix it.

[simran]

I am not able to do it this way.

[Sam Chak]

I apologize, but could you please clarify the specific method or approach you are having difficulty with when searching for example codes on the Internet?

[Dyuman Joshi]

"I am not able to do it this way."

@simran, which way?

Answer 1

[Jonas]

this could work

theta = linspace (-pi/4,pi/4);
x = 0.5*cos(theta).*sqrt(2.*cos(2.*theta));
y = 0.5*sin(theta).*sqrt(2.*cos(2.*theta));
plot(x+0.5,y,-x+0.5,y), grid on, 
axis ('equal')

figure;plot([x+0.5 -x+0.5],[y y])
axis equal; grid on;

[simran]

How about the black dots on the right?

[Sam Chak]

@simran, What are the formulas to determine the coordinates for the "black dots"?

Also, when to apply the parameters {, } and {, } in the "Lemniscate" code?