Findout surface to surface intersection between two 3d shapes

I have two independent 3d shape,like one is square and another is cone. --lets Assume cone is inside square. -- now how can i find out that surface of cone is touching the surface of sqare when i start moving cone in any direction.

It will be Helpful if anyone can suggest algorithm to check surface is touching to another shape surface. I am working with matlab application. but logic in any laungauge will be appriciated.

Thanks in Advance.

Answer 1

[KSSV]

Have a look on this: https://in.mathworks.com/matlabcentral/fileexchange/48613-surface-intersection