You’ve heard of the Erdos number.
You’ve heard of the Bacon number.
Now, you’ve even heard of the Imaginary Erdos number.
I am proposing the Erdos-Bacon Quaternion, a quaternion representation of one’s real & complex separation from co-authorship with Erdos and co-actingship with kevin Bacon:
For example, if you’ve written a paper with Erdos, written a paper with a dream coauthor of Erdos, and have acted in a film with an actor 2 steps removed from Bacon, you have number 1 + 2i + 3k.