Home base and Stamping ground

Home base noun - (baseball) base consisting of a rubber slab where the batter stands; it must be touched by a base runner in order to score.

Stamping ground and home base are semantically related. In some cases you can use "Stamping ground" instead a noun phrase "Home base".

Stamping ground noun - A place for spending time or for socializing.

Home base and stamping ground are semantically related. You can use "Home base" instead a noun phrase "Stamping ground".