"Bizarre Love Triangle" is one of my favorite songs of all time, as it happens. And although it certainly lives up to its title in terms of being bizarre, I can't tell that it has anything whatsoever to do with a love triangle. Indeed, like many New Order songs, it's a toss-up whether or not the lyrics are deep and full of some kind of artistic meaning, or merely inane and silly. (Frankly, I'm leaning towards the latter.) The track failed to chart very high when released as a single in both the UK and the US, but gradually climbed for literally years afterward, and even hit Billboard again in 1995; nearly ten years after it was first released.
Over time, it's become pretty emblematic of New Order; almost like their signature song, as it were. It's also been covered by a number of artists who were influenced by New Order, including Stabbing Westward, Apoptygma Berzerk and Frente! (I've included those three versions as well as the 1987 Substance remix) and is even part of The Killers live set in an acoustic piano version that's not unlike the APB cover below.