The angled plot line of the Chrysler Building
As shown in maps and satellite views, the footprint of the Chrysler Building in Manhattan has an unusual angle on its eastern boundary that doesn't respect the alignment of the street grid. Most people I've asked aren't even aware of the angle and those that are aware do not know why that side of the building is at an angle.
A likely explanation
The old map below shows a country road angling right where the Chrysler Building would later be built. According to Christopher Gray, the Streetscapes columnist for The New York Times, it's old Boston Post Road, which snaked up the east side, mostly between Third and Second Avenue and led to Boston. Along this road was carried news of the Declaration of Independence. Over time, the city transferred the title of the roadbeds to buyers - the lines up the east side are erratic and do not always appear block to block.