Yes
There is no specific name for such shapes.
There is not a name becasue there are many different shapes. A sphere, an ellipsoid, a torus (doughnut), toroidal shapes with two or more "holes", a paraboloid, semi-hyperboloid etc are all 3-dimensional shapes which have got just one curved surface.
There is no special name that distinguishes shapes with more than four sides from shapes with four or fewer.
There is no special name: they are polygons, as are shapes with 3 or 3 million sides.
All of them are both quadrilaterals and quadrangles. That's two names!
Nothing
Polygon.
A moebus strip.
There is no special name to distinguish shapes with more than 14 sides from those with 14 or fewer.
A shape with three or more sides is a polygon. Not sure there is a special name for 4 or more sides.
There is no specific term that distinguished between shapes with more than 11 sides from those with up to 11 sides.
A square