The two methods in one paragraph each
Pomodoro means 25 minutes of single-task work followed by a five-minute break, with a longer break of 15 to 30 minutes after the fourth round. It came out of Francesco Cirillo's student habits in the late 1980s. He experimented with intervals between roughly 5 and 30 minutes and kept 25 because it suited him. The full rules, including what to do when you get interrupted, are in the walkthrough of the technique.
The 52/17 method means 52 minutes of work followed by 17 minutes away from the desk. It comes from a 2014 analysis published by DeskTime, a time-tracking company, which looked at the top 10% of its users by the app's own productivity rating and reported the average work-to-break pattern in that group. There is no long-standing practice around it, no rules about interruptions, and no book. It is a ratio that got popular.