Why is the approximation of the modeled object more often performed using triangular rather than quadrangular figures?

Question

3D

More often one hears about the triangulation of the modeled object, and very rarely when quadrangles are used in the model (for example, the model of the Earth and other spheroids is usually shown using quadrangles)

And the question is: what is the reason for such a choice?

Answer 1

3 points, not on the same line, uniquely define a plane.
4 points can already be "twisted" by destroying the plane.
When the frame is given by triangles, no matter how you deform it, the triangles will remain flat, you can quickly stretch the texture on each, count reflections, intersections.