The art installation, which was designed to occupy the lobby of the building in a creative way, comprises large loops of steel and metallic fabric that reach up to 5.5 metres in length.
Loop's design, which resembles a single thin piece of metal fabric, was informed by the area surrounding The Rowe.
The development is located in Whitechapel, east London, a culturally diverse neighbourhood that used to be known for its clothing and textile manufacture.
"Once you hit Whitechapel Road going into the city, it's a real demonstration of London's huge mix of cultures," Cocksedge told Dezeen.
"You get a glimpse of the past, the present and the future, and particularly in Whitechapel you see that," he added.
"There's such a burst of colour and texture and patterns, with things on display in shop windows and stalls, and sparkling pieces of jewellery dangling. It's a real melting pot of materiality, colour and culture."
The installation's metallic materials and colours are also a nod to the building's history as a bell foundry.
To construct the loops – one of which also functions as a seat – Cocksedge worked with a UK-based company to create a hybrid fabric made from structural cotton.
This acts as a load-bearing element and is sandwiched between two layers of thinner metallic-coloured cotton.
"We wanted the person to be a focal point of the artwork, which posed a challenge in terms of fabrication," Cocksedge said. "We needed a material that was both decorative and structural."
Steel elements support the fabric loops so that they can hold the weight of visitors. As the lobby of the building is open for anyone to come in and see the sculpture, the interactive aspect was an important part of the design.
"Public art is often untouchable," Cocksedge said. "But sometimes when you're in a public space, allowing people to become involved adds a completely different dimension and creates an emotional, and hopefully more memorable, experience."
As well as Loop, The Rowe also houses another large-scale art installation by London designer Yinka Ilori. The building, which formerly held the London Met School of Art, Architecture and Design, was renovated and expanded by Allford Hall Monaghan Morris.