10. The Jefferson Market Library at 425 Sixth Ave, Manhattan

Though at first glance the Jefferson Market Library building doesn’t ressemble a wedge shape as much as the others, it has a mostly triangular construction and what would be its “point” is a rounded edge that becomes the clocktower. According to the New York Public Library, the 1877 building was originally a courthouse and was designed by Central Park architects Frederick Clark Withers and Calvert Vaux.

There was a civil court, police court, holding cell for prisoners in the basement, and the tower served as a firewatcher’s viewpoint. It was almost knocked down in 1959 to make way for apartment buildings, but the Greenwich Village community rallied and it was turned into a library instead by Mayor Robert F. Wagner in 1961. Untapped Cities offers annual climbs up the Jefferson Market Library Clocktower, become an Untapped Cities Insiders to get notified of future dates. The library will be undergoing three months of interior construction, so the next climb will likely be late summer.