The intersection of three cylinders

Question

Hirasawa Yui 2019-4-15

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/456391-the-intersection-of-three-cylinders

评论： darova 2021-3-18

Hi everyone. I want to plot and create the intersection of 3 perpendicular cylinders.

Your help would be greatly appreciated!!

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sylvain jack 2019-4-26

I still can't understand it..Would you be more specific about this? Much thanks..

Maria Aizaga 2021-3-11

编辑：Maria Aizaga 2021-3-11

Hi, I have to graph the solid of the 3 cylinders, but I don't know how to do it. I need help, I was guiding myself with your code but the graph does not come out

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Answer 1

darova 2019-4-26

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https://ww2.mathworks.cn/matlabcentral/answers/456391-the-intersection-of-three-cylinders#answer_372413

在 MATLAB Online 中打开

That result of intersection can be build with one simple element

Define boundaries of element:

phi = 0 .. 45 degree
% R - radius of cylinder
X = R*cos(phi);
Y = R*sin(phi);

Z = 0 .. Y; % Z varies (because of 45 degree)

Then just just changing data with rotating system coordinates:

Then rotate around Z and Y

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Joseph Barreiro 2021-3-5

Could you pass me the code of your example?I am new to this and would like to know how to structure it.

Thanks

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Answer 2

darova 2021-3-6

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/456391-the-intersection-of-three-cylinders#answer_640461

code.txt

Here is another example

start with usual meshgrid to create mesh

modify Y coordinate

calculate Z coordinate

copy object

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Joseph Barreiro 2021-3-6

在 MATLAB Online 中打开

Your answer helped me, I make the figures separately and in separate they look as if they would combine well, but when one of them simply does not come out the figure I would like .. I am new to matlab, sorry if I ask silly questions

this is the code:

R = 4;
xx = linspace(-1,1,11)*R/sqrt(2);   
[x,y] = meshgrid(xx);               
y = x.*y/sqrt(2)*R;             
z = sqrt(R^2-x.^2);             
h(1) = surf(x,y,z);
h(2) = surface(z,y,x);
hold on
R = 4;
xx = linspace(-1,1,11)*R/sqrt(2);   
[x,y] = meshgrid(xx);               
y = x.*y/sqrt(2)*R;             
z = sqrt(R^2-x.^2);            
u(1) = surf(x,y,z);
u(2) = surface(z,y,x);
direction = [0 0 1];
rotate(u,direction,90)
hold on
R = 4;
xx = linspace(-1,1,11)*R/sqrt(2);   
[x,y] = meshgrid(xx);               
y = x.*y/sqrt(2)*R;        
z = sqrt(R^2-x.^2);
b(1) = surf(x,y,z);
b(2) = surface(z,y,x);
direction = [0 0 1];
rotate(b,direction,180)
view(45,45)
hold on
R = 4;
xx = linspace(-1,1,11)*R/sqrt(2);   
[x,y] = meshgrid(xx);               
y = x.*y/sqrt(2)*R;             
z = sqrt(R^2-x.^2);             
a(1) = surf(x,y,z);
a(2) = surface(z,y,x);
direction = [0 0 1];
rotate(a,direction,270)
view(45,45)

Joseph Barreiro 2021-3-17

@darova I almost forgot to thank you, you should share your knowledge on youtube, brilliant people like you should be on that kind of platform! Thanks for everything!

darova 2021-3-18

You are welcome

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Answer 3

darova 2021-3-6

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/456391-the-intersection-of-three-cylinders#answer_640591

code.txt

Another example

create zigzag

refine it using interp1

convert it to cylindrical coordinates

add bottom part

use different combination (X,Y,Z), (Z,Y,X), (X,Z,Y)

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The intersection of three cylinders

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