Double cone with a specific aperture in MATLAB angle

Question

I am trying to plot a double cone that has a specific aperture/apex angle (say theta) in MATLAB like the sketch below:

Double-Cone

My attempt: A cone is described parametrically as:

F(s,t,u) = (u tan(s) cos(t),u tan(s) sin(t),u)

where s runs from 0 to theta (aperture 2*theta), t runs from 0 to 2*pi and u from 0 to h (height).

s = linspace(0,theta);
t = linspace(0,2*pi);
[S,T] = meshgrid(s,t);
X = tan(S).*cos(T);
Y = tan(S).*sin(T);
Z = tan(S);
surf(X,Y,Z)

I wasn't sure how to add u to all this, so I simply did Z = tan(S). This does plot me a cone, but I'm not that sure on what I did here...

Help would be much appreciated.

what have you tried where is some code, equation or at least sketch? What is the real problem preventing you from success? — Spektre
– Spektre, Commented Jul 3, 2018 at 7:33
I would use for a=<0,2*Pi>, h=<-H,+H> something like: z=h; r=abs(h)*tan(aperture_half_angle); x=r*cos(a); y=r*sin(a); ... not a Matlab coder so there might be deviations like angle units ... — Spektre
– Spektre, Commented Jul 4, 2018 at 14:53

Doubloon Conroy · Accepted Answer · 2022-02-20 21:50:19Z

0

I think it is more easier if you use the implicit form of the cone.

edited Feb 20, 2022 at 21:50

answered Feb 2, 2022 at 8:18

Doubloon Conroy

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