Of course! You can have whatever you want in geometry, that's the beauty of math. If it doesn't fit in your current topology just make up another one
No because in Geometry, a plane goes on infinitely. No because in Geometry, a plane goes on infinitely.
Two dimensional geometry is called "plane geometry" meaning that it occurs on a single surface or plane. The objects used in plane geometry are called plane figures.
An example is the Cartesian plane where coordinated geometry is plotted
In geometry, a solid cannot exist entirely in a plane because solids are three-dimensional objects, while a plane is two-dimensional. A solid has depth in addition to width and height, so while the base or projection of a solid can lie within a plane, the solid itself extends beyond the confines of that plane. Thus, a solid can intersect a plane but cannot be fully contained within it.
B Abrahamson has written: 'Notes on plane coordinate geometry' -- subject(s): Coordinates, Geometry, Plane, Plane Geometry
Roy David Gustafson has written: 'Elementary plane geometry' -- subject- s -: Geometry, Plane, Plane Geometry
Geometry that is not on a plane, like spherical geometry
Plane Geometry and Solid Geometry
one is plane and one is solid
Presumably it is simply geometry. However, plane geometry is geometry which is limited to objects with up to two dimensions, that is, objects that lie in a plane - or on a flat surface.
solid geometry deals with 3 dimensional figures while plane geometry deals with 2 dimensional.
Geometry that is not on a plane, like spherical geometry