code: def intersect(self, other, strategy=_STRATEGY.GEOMETRIC, _verify=True):
          
          if _verify:
              if not isinstance(other, Surface):
                  raise TypeError(
                      "Can only intersect with another surface",
                      "Received",
                      other,
                  )
  
              if self._dimension != 2 or other._dimension != 2:
                  raise NotImplementedError(
                      "Intersection only implemented in 2D"
                  )
  
          if strategy == _STRATEGY.GEOMETRIC:
              do_intersect = _surface_intersection.geometric_intersect
          elif strategy == _STRATEGY.ALGEBRAIC:
              do_intersect = _surface_intersection.algebraic_intersect
          else:
              raise ValueError("Unexpected strategy.", strategy)
  
          edge_infos, contained, all_edge_nodes = do_intersect(
              self._nodes, self._degree, other._nodes, other._degree, _verify
          )
          if edge_infos is None:
              if contained:
                  return [self]
  
              else:
                  return [other]
  
          else:
              return [
                  _make_intersection(edge_info, all_edge_nodes)
                  for edge_info in edge_infos
              ]
docs: Find the common intersection with another surface.
  
          Args:
              other (Surface): Other surface to intersect with.
              strategy (Optional[~bezier.curve.IntersectionStrategy]): The
                  intersection algorithm to use. Defaults to geometric.
              _verify (Optional[bool]): Indicates if extra caution should be
                  used to verify assumptions about the algorithm as it
                  proceeds. Can be disabled to speed up execution time.
                  Defaults to :data:`True`.
  
          Returns:
              List[Union[~bezier.curved_polygon.CurvedPolygon, \
              ~bezier.surface.Surface]]: List of intersections (possibly empty).
  
          Raises:
              TypeError: If ``other`` is not a surface (and ``_verify=True``).
              NotImplementedError: If at least one of the surfaces
                  isn't two-dimensional (and ``_verify=True``).
              ValueError: If ``strategy`` is not a valid
                  :class:`.IntersectionStrategy`.