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

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simran 2023-9-11

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2019516-why-do-the-lines-break-apart-and-crack-in-my-plot

评论： simran 2023-9-15

采纳的回答： Walter Roberson

在 MATLAB Online 中打开

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

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?