MySQL 5.7 Reference Manual Including MySQL NDB Cluster 7.5 and NDB Cluster 7.6
The geometry classes define a hierarchy as follows:
              Geometry (noninstantiable)
            
                  Point (instantiable)
                
                  Curve (noninstantiable)
                
                      LineString (instantiable)
                    
                          Line
                        
                          LinearRing
                        
                  Surface (noninstantiable)
                
                      Polygon (instantiable)
                    
                  GeometryCollection (instantiable)
                
                      MultiPoint (instantiable)
                    
                      MultiCurve (noninstantiable)
                    
                          MultiLineString
                          (instantiable)
                        
                      MultiSurface (noninstantiable)
                    
                          MultiPolygon (instantiable)
                        
It is not possible to create objects in noninstantiable classes. It is possible to create objects in instantiable classes. All classes have properties, and instantiable classes may also have assertions (rules that define valid class instances).
          Geometry is the base class. It is an
          abstract class. The instantiable subclasses of
          Geometry are restricted to zero-, one-, and
          two-dimensional geometric objects that exist in
          two-dimensional coordinate space. All instantiable geometry
          classes are defined so that valid instances of a geometry
          class are topologically closed (that is, all defined
          geometries include their boundary).
        
          The base Geometry class has subclasses for
          Point, Curve,
          Surface, and
          GeometryCollection:
        
              Point represents zero-dimensional
              objects.
            
              Curve represents one-dimensional
              objects, and has subclass LineString,
              with sub-subclasses Line and
              LinearRing.
            
              Surface is designed for two-dimensional
              objects and has subclass Polygon.
            
              GeometryCollection has specialized
              zero-, one-, and two-dimensional collection classes named
              MultiPoint,
              MultiLineString, and
              MultiPolygon for modeling geometries
              corresponding to collections of Points,
              LineStrings, and
              Polygons, respectively.
              MultiCurve and
              MultiSurface are introduced as abstract
              superclasses that generalize the collection interfaces to
              handle Curves and
              Surfaces.
            
          Geometry, Curve,
          Surface, MultiCurve, and
          MultiSurface are defined as noninstantiable
          classes. They define a common set of methods for their
          subclasses and are included for extensibility.
        
          Point, LineString,
          Polygon,
          GeometryCollection,
          MultiPoint,
          MultiLineString, and
          MultiPolygon are instantiable classes.