That was a great episode, I knew it would be cool when the Cyberman was playing chess at the beginning!
Doctor who and chess

https://www.reddit.com/r/doctorwho/comments/1e88kg/an_analysis_of_the_chess_game_from_nightmare_in/
https://setsuled.livejournal.com/880790.html
Looks like it's based on Marshall's famous combination against Levitsky, but with the colors reversed and some of the non-essential pieces shuffled around.
Questions about Dr Who make me want to claw my face off.