How can I plot 3D surface x^3 + y^3 + z^3 = 1, where x, y, z are in unit closed interval in MATLAB ?.

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Amna Habib 2018-11-11

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评论： Amna Habib 2022-7-26

I want to plot a surface x^3 + y^3 + z^3 = 1, where x, y, z are in unit closed interval. The MATLAB is not displaying the plot. Perhaps there occur some complex roots. Please help me to write its code. Thanks in advance.

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Answer 1

madhan ravi 2018-11-11

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编辑：madhan ravi 2018-11-11

在 MATLAB Online 中打开

syms x y z
fimplicit3(x^3+y^3+z^3==1,[-1 1 -1 1 -1 1])

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Amna Habib 2018-11-11

编辑：madhan ravi 2018-11-11

在 MATLAB Online 中打开

---------------------------------------------------------------------------------------------
MATLAB Version: 8.5.0.197613 (R2015a)
MATLAB License Number: ••••••
Operating System: Microsoft Windows 8.1 Pro Version 6.3 (Build 9600)
Java Version: Java 1.7.0_60-b19 with Oracle Corporation Java HotSpot(TM) Client VM mixed mode
---------------------------------------------------------------------------------------------
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madhan ravi 2018-11-11

Screen Shot 2018-11-11 at 3.11.46 PM.png

sure Bruno

Bruno Luong 2018-11-11

编辑：madhan ravi 2018-11-11

Thanks

madhan ravi's reply: Anytime :) @Bruno

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Answer 2

Bruno Luong 2018-11-11

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https://ww2.mathworks.cn/matlabcentral/answers/429190-how-can-i-plot-3d-surface-x-3-y-3-z-3-1-where-x-y-z-are-in-unit-closed-interval-in-matlab#answer_346324

在 MATLAB Online 中打开

[x,y,z]=ndgrid(linspace(-1,1,33));
v=x.^3+y.^3+z.^3-1;
close all
p = patch(isosurface(x,y,z,v,0));
p.FaceColor = 'red';
daspect([1 1 1])
view(120,-30); 
axis tight
camlight 
lighting gouraud

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Les Beckham 2022-7-26

编辑：Les Beckham 2022-7-26

在 MATLAB Online 中打开

It depends on what you really want to plot. g(x) is complex. In a 2d plot you can't plot a complex vector against a real vector. So, you have a few choices (ignoring f(x) which seems to be plotting just fine):

x = linspace(0, 1 );

g = @(x) (x<0.5).* (7-5.* sqrt(-1.* (log(2-(2.*x))))) + (x>=0.5).*(7+4.* sqrt(-1.* (log(2.*x))));

figure

plot(g(x), 'linewidth', 1.5) % plot the imaginary part of g(x) against the real part

xlabel 'real(g(x))'

ylabel 'imag(g(x))'

grid on

figure

plot(x, abs(g(x)), 'linewidth', 1.5) % plot the magnitudes of g(x) against x

xlabel 'x'

ylabel 'abs(g(x))'

grid on

figure

plot(x, angle(g(x)), 'linewidth', 1.5) % plot the phase angles of g(x) against x

xlabel 'x'

ylabel 'angle(g(x))'

grid on

figure

% plot the real part of g(x) against x; note that this is what you got

% above, plot defaults to plotting the real part and throws away the

% imaginary part

plot(x, real(g(x)), 'linewidth', 1.5)

xlabel 'x'

ylabel 'real(g(x))'

grid on

figure

plot(x, imag(g(x)), 'linewidth', 1.5) % plot the imaginary part of g(x) against x

xlabel 'x'

ylabel 'imag(g(x))'

grid on

Torsten 2022-7-26

在 MATLAB Online 中打开

Maybe you mean

x = linspace(0, 1,100 ).';

f = @(x) (x<0.5) .* (30.*x) + (x>=0.5).* (70.*x-20 );

g = @(x) (x<0.5).* (30.*(1-x)) + (x>=0.5).* (50-70.*x ) ;

figure

plot(x, [f(x), g(x)], 'linewidth', 1.5 )

Amna Habib 2022-7-26

Yes, exactly. The same is required.

Thanks a lot @Torsten.

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How can I plot 3D surface x^3 + y^3 + z^3 = 1, where x, y, z are in unit closed interval in MATLAB ?.

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How can I plot 3D surface x^3 + y^3 + z^3 = 1, where x, y, z are in unit closed interval in MATLAB ?.

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