You can have a local cloud (a data center that you're in) and an external cloud (an undisclosed number of data centers that are external to you)... but whenever you abstract the number of external data centers, that becomes a cloud.
You can have a local cloud (a data center that you're in) and an external cloud (an undisclosed number of data centers that are external to you)... but whenever you abstract the number of external data centers, that becomes a cloud.