Sold by the slice, pizza is emblematic of New York City. It’s an inexpensive antidote to hunger pangs that can be ordered quickly, and eaten quickly, even on the go. Think of Tony Manero, the John Travolta character in Saturday Night Fever, double-decking a pair of slices while strutting through Bay Ridge, Brooklyn.

At a less bouncy pace, we recently visited Astoria, Queens – home to what might be the densest concentration of pizza purveyors in the borough, including some that beckon customers from all across the city – in search of good slices. Some took the form of a triangle, cut from a circular pie; others were squarish, a shape that in recent years has become trendy in Manhattan but that for decades has been a staple in New York’s outer boroughs.