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How to change the centre of one face of a cone

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Jonathan Bird
Jonathan Bird 2018-4-16
评论： Star Strider 2018-4-22
Im trying to design a cone where the centre for one of the faces is offset from the centre of the other face, as in the picture
This is the code I've done for a basic cone with two faces. Thanks
[x,y,z]=cylinder([0,10,5,0],100);
z([1,2],:)=0
z([3,4],:)=75;
hm=surf(x,y,z);
axis equal;
direction=[1,0,0];
rotate(hm,direction,90)

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Star Strider
Star Strider 2018-4-17

Try this:

a = linspace(0, 2*pi);
ra = 1;
rb = 5;
apex = [rb*cos(a); ra*cos(a)];
base = [rb*sin(a)+rb; ra*sin(a)+ra];
h = 10;
z = [h*ones(size(a)); zeros(size(a))];

figure(1)
surf((apex), (base), z)
axis equal
shading interp
view(80,30)
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Jonathan Bird
Jonathan Bird 2018-4-22
If apex is y values and base x values why don't we do surf((base),(apex),z) as we normally do surf(x,y,z)? Please could you also try to explain what the matrix z would look like, I'm guessing its also 2x100 with the value of h in the first row and zeros in the second row? Thanks
Star Strider
Star Strider 2018-4-22

You can certainly rename them and then switch their order in the surf call. Note that ‘apex’ and ‘base’ are each (2x100) matrices. The x-coordinates are cos values, and the y-coordinates are sin values, each forming a different circle. The exact order doesn’t matter, so long as the two circles get drawn. The z-coordinate (another (2x100) matrix) displaces them in the third dimension, forming the cone.

And you’re correct about the structure of z. If you want the z-coordinates to be different, use this:

z = [h1*ones(size(a)); h2*ones(size(a))];

That will plot one circle at ‘h1’ and the other at ‘h2’, forming the cone between those values.

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