Modify code of straight circular cone to get a slate one

R = 1; %// radius
H = 3; %// height
N = 100; %// number of points to define the circumference
[x, y, z] = cylinder([R 0], N);
mesh(x, y, H*z)

does a straight circular cone. How to modify to get a slate one like

Comments are welcome.

Thanks

[John D'Errico]

A "slate" one? What does slate mean? Are you asking for a skewed cone?

[nodek]

Yes, skewed like pic above :)

thx

Answer 1

[John D'Errico]

Assuming you mean a skewed cone, this is simple to do. You already know how to use the cylinder function.

help cylinder

 CYLINDER Generate cylinder.
    [X,Y,Z] = CYLINDER(R,N) forms the unit cylinder based on the generator
    curve in the vector R. Vector R contains the radius at equally
    spaced points along the unit height of the cylinder. The cylinder
    has N points around the circumference. SURF(X,Y,Z) displays the
    cylinder.
 
    [X,Y,Z] = CYLINDER(R), and [X,Y,Z] = CYLINDER default to N = 20
    and R = [1 1].
 
    Omitting output arguments causes the cylinder to be displayed with
    a SURF command and no outputs to be returned.
 
    CYLINDER(AX,...) plots into AX instead of GCA.
 
    See also SPHERE, ELLIPSOID.

    Documentation for cylinder
       doc cylinder

A cone is simple.

First, what is a cylinder? It is a circle, translated along the z axis, so the same circle at any value of z. Now, we can create a cone, by scaling the x and y values that come out, by multiplying by z. Nicely, cylinder actually does that for you.

R = 1; %// radius
H = 3; %// height
N = 100; %// number of points to define the circumference
[x, y, z] = cylinder([R 0], N);
mesh(x,y,z)

But a skewed cone, is now one that also has x and y translated over, also as a function of z.

x = x + z/2;
mesh(x,y,z)

[nodek]

Great, thank you.

I got it.

"slate" was a translation by google. I'm speaking swiss german :)