[3] Reporting has connected Lantern House to another Related development at 555 West 22nd Street, designed by Robert A.M. Stern Architects, referring to them jointly as "Hudson Residences".

[6] The building's windows inspired the name of the development, as they evoke the shape of a lantern,[7] though they have also been unfavorably compared to pickle and beer barrels.

[9] Heatherwick also drew inspiration from industrial warehouses located in Manhattan and elsewhere in New York, from which he derived the building's brick façade.

[9] The High Line park bisects the two structures that form the building, though a lobby joins them at street level.

[8] Another anonymous architect gave Heatherwick some praise for the design's apparent nod to the nearby industrial buildings that date to before the High Line's conversion from railroad to park.