Why do the lines break apart and crack in my plot?

clear
syms z r theta n m

% Define the hypergeometric function
X(z)=2*z*hypergeom([1, 1/n], 1/n+1, z^n)-z+(2*log(z^n-1)+z^n)/(n^2)-(2*pi*1i)/n^2

X(z) = 

Y(z)=z-(1/n^2)*z^n

Y(z) = 

X(z)=subs(X,n,2*m)

X(z) = 

Y(z)=subs(Y,n,2*m)

Y(z) = 

Z(z)=(1/2)*z*hypergeom([1, 1/m], 1/m+1, z^m)-(1/2)*z*hypergeom([1, 1/m], 1/m+1, -z^m)-(1/(2*m^2))*(atanh(z^m)-z^m)

Z(z) = 

% Display the result
X(r,theta)=subs(X,z,r*exp(1i*theta))

X(r, theta) = 

Y(r,theta)=subs(Y,z,r*exp(1i*theta))

Y(r, theta) = 

Z(r,theta)=subs(Z,z,r*exp(1i*theta))

Z(r, theta) = 

val = 1

val = 1

figure
fsurf(real(subs(X,m,val)),imag(subs(Y,m,val)),2*imag(subs(Z,m,val)),[0 1 pi/24 2*pi+pi/24],'MeshDensity',10,'FaceAlpha',.75)
colormap(jet)
shading interp
%Adjust x, y and z axis limits according to the reference image
axis([-1 1 -1 1 -1 1])
set(gcf,'renderer','Painters')

I have this 3-D Plot, in which these lines scatter and break apart which makes the picture look absurd. How can i manually make the lines smooth and continuous by setting some changes in the plot code. i dont want to increase the meshdensity either . how can i do that?

[Walter Roberson]

contour lines would never cross, so that is not a contour plot.

contour lines can break up if there is nan data.

[simran]

this is not nan data. and this is not a contour plot, i just meant the mesh lines

[William Rose]

@simran, please provide the data file and the command(s) used to make the plot. This will help others help you.

[simran]

@William Rose sure, i have shared the code.

[Walter Roberson]

The output looks fine on my Mac -- but not on MATLAB Online.

[simran]

really? can you add a picture of how does it look like ?

[Walter Roberson]

and rotated a bit:

[Dyuman Joshi]

What MATLAB version are you using @Walter Roberson?

The lines are broken for me as well - R2021a Update 5 Win 10 Pro

[simran]

@walter Roberson even I'm using R2023 version? What should I do?

[Sam Chak]

Can try the code in MATLAB R2023b Prerelease.

Answer 1

[Walter Roberson]

It looks like this is something that will be fixed in the upcoming R2023b which should likely be released this week or next.

[simran]

what can i do as of now?

[Walter Roberson]

@simran

If you have Software Maintenance Service (SMS) on a non-Student license (possibly some other license types are also restricted) then you might be eligible to install the R2023b Beta (Preview) release.

If you have a Student license, then you are probably going to need to evaluate the function at a number of points, surf() the result, and then draw any desired lines on top of the surface. It is not immediately clear to me what the lines represent.

[Walter Roberson]

R2023b is now available so you can use it.

[simran]

@Walter Roberson yes it worked in R2023b. Thankyou very much, you've been very helpful and kind!