In 2004, an international design competition was held to select the architect for the fourth tower for Absolute World.

Yansong Ma, founder of the MAD office, Beijing/China architectural design firm was announced the winner.

[10] On June 14, 2012, the Chicago-based Council on Tall Buildings and Urban Habitat (CTBUH), a non-profit group of architects and engineers, reported that the towers were among the world's best new skyscrapers.

[11] The larger of the two towers twists 209 degrees from the base to the top, making it very similar to Turning Torso in Malmö, Sweden.

[14] In 2025, Absolute World was prominently featured on the cover of Canadian musicians PartyNextDoor and Drake's collaborative studio album Some Sexy Songs 4 U, with the duo pictured in front of complex's twin towers at night while donning fur coats.