A hole is an immaterial body located at the surface of an Object. Since every HoleRegion is ontologically dependent on its host (i.e., the object in which it is a hole), being a HoleRegion is defined as being a hole in something. Note that two HoleRegions may occupy the same region, or part of the same region, without sharing any parts. Any two hosts of a hole have a common proper part that entirely hosts the hole. A common host of two holes hosts all parts of the sum of those holes. Any object that includes the host of a hole is a host of that hole, unless its parts also include parts of that very hole. Overlapping holes have overlapping hosts. No hole is atomic. HoleRegions are connected with their hosts. No hole can have a proper part that is externally connected with exactly the same things as the hole itself.