Your decision, Proconsul.
This suggests an obvious game: Six Degrees of Star Trek, based on the well-known Six Degrees of Kevin Bacon, in which the participants begin with an actor and try to establish a series of co-star links back to Kevin Bacon. Anyone who has appeared in Star Trek has a Star Trek number of 0, while actors who have appeared in other shows with those actors have a Star Trek Number of 1, and so on.
Let's try an example: Patty Duke, who died last week.
Patty Duke has a Star Trek number of 1. Her father on The Patty Duke Show was played by William Schallert. The high point of his career was a later appearance on Star Trek's "The Trouble with Tribbles," in which he appears as the bureaucrat Nils Barris.
Who ate all the rest of my quadrotricale?
My guess is that nearly every actor from the 1960s-70s has a Star Trek number of 2 or less. In playing this game, you are required to use only the original Star Trek series, not the watery Next Generation sequel, which was aptly described by a friend of mine as "social workers in space."
The ur-example of these small-world games is the Erdos number, named after the hyper-prolific Hungarian mathematician Paul Erdos. The Erdos number tracks how far you are, via the co-authorship of scientific/mathematics papers, from Paul Erdos. There's really no equivalent to Paul Erdos among physicists, despite our tendency to be more collaborative than mathematicians. However, most physicists have low Erdos numbers -- my own is 4 -- via the physicist Sheldon Glashow, who has an Erdos number of 2.
By the way, there really is such a thing as triticale. Triticale chex. Yummy.