OMG tonight's episode reminds me of the Stargate SG-1 episode "Holiday".
Yeah -- I'm usually skeptical of assumptions that show A inspired something similar in show B, but given the specific premise of a mind-switching technology that only allows one switch per pairing, and the need to devise a roundabout way to put everyone back in their rightful places through multiple switches, I'd say there's a very good chance that this is a deliberate riff/expansion on that.
And of course, this being a Ken Keeler script, there's a good deal of math-related material in it. I was hoping for more exploration of the logistics of putting people back, but I guess all the math in-jokes are in the equations you have to freeze-frame to read. (According to
The Infosphere, Keeler actually devised and proved a mathematical theorem in order to explain the plot twists of this episode. So we're seeing original mathematical work being done here!)
Overall, "The Prisoner of Benda" was a fun yet insubstantial episode. I could've done without the stuff about Fry and Leela in Zoidberg and the Professor. Prof-in-Bender and the circus folk, especially the cannon, was kind of nice, and it was unexpected how it dovetailed with the Bender plot. I think my favorite part was Scruffy's scene with washbucket-in-Amy. Was that an homage to some movie?
Nice to see the continuity with "That Darn Katz!", with Amy working alongside the Professor on his invention. But I wish they'd make up their mind about whether Fry and Leela are involved or not.