What are some alternative ways of describing a Tetrahedron rather than using 4 points?
This question made me wonder besides using the four points following methods could also be used to describe a Tetrahedron :
1.Intersection of 4 cubes ( or some other solids having at least 4 flat surfaces in total between them)
2.Set of points that satisfy some inequities that is bounded between 4 planes.
But still the 4 four point description of Tetrahedron seems by far the simplest.
Is there a list known alternative methods used for prescribing a 2D or 3D object? (varying the coordinate systems does not count)