Or, if you prefer, Spockulation... That's Leonard Nimoy hitting the skins next to Adam West.
I came across this photo, dated c. 1968, photographer and location unknown to me, via one blog link that led to another. You know how it goes. I hit a wall when Steve Niles' post of it on Tumblr led to a Facebook page that I can't access 'cause I'm not on Facebook.
Seeing either West or Nimoy in this situation would be interesting enough, but seeing them together is just... geektastic. The original broadcast runs of Batman (Jan. 1966 to Mar. 1968) and Star Trek (Sept. 1966 to June 1969) overlapped considerably, of course. Yet while some supporting actors did double duty opposite the Dynamic Duo and the Enterprise crew — most famously, Yvonne Craig captivating Capt. Kirk as the green-skinned Orion slave girl Marta after livening up Batman as bombshell Barbara Gordon, a.k.a. Batgirl, and Frank Gorshin taking on Trek as the half-white/half-black Bele after vaulting The Riddler to the upper echelons of Batman & Robin's rogues gallery — we never got the showdown between the stars of both shows that so many of us wanted. (Fun fact, though: Adam West and William Shatner, then relative unknowns, paired up for the 1964 TV pilot Alexander the Great. Had it gone to series, it's impossible to say who'd have filled the boots of Bruce Wayne and James T. Kirk.)
Reruns of Batman and Star Trek were staples of my childhood. I'm still amazed that my mom got to watch them as they first aired while in college and grad school. I bet she'll get a kick out of this picture, too.