Plane tufts

Plane tufts with a common line of intersection

Clusters of parallel planes

A plane cluster is a basic structure of projective geometry , namely the set of all planes that contain the same straight line. The common straight line of all levels of the plane cluster is called the carrier line or axis of the plane cluster. The tuft of planes is a basic structure of the first level.

If the carrier line is a distance line , all planes of the plane bundle are parallel to each other ( parallel plane bundle ). In this case, the plane cluster also contains the far plane of the room.

See also

• Intersection line

Individual evidence

1. ↑ Kleine Enzyklopädie Mathematik , Leipzig 1970, p. 217.