The pieces are formed from different configurations of a ladder, chair and side table, each designed by the pair.
Long metal poles connect the furniture, which was then turned into makeshift drying racks and displays for the clothes.
Magnetic orange spheres keep the shirts in place, and each installation shows the garments draped in different ways. In one case, a shirt is hanging across the top of the ladder, while in another, it is hooked haphazardly over the back of a chair.
"In the Australian winter often our house is strewn with miscellaneous objects that we use to hang clothing out to dry," said the pair, who launched their own furniture and lighting range in 2014.
"It is one of the only times we have our shirts on display at home rather than in a wardrobe," they added. "This installation is our version of this everyday scene."
The pieces are reminiscent of an earlier installation created by Nendo for COS, which similarly focused on the classic white shirt as a centrepiece.
Daniel Emma's designs will be shown at COS' Australian stores in Sydney and Melbourne. The partnership is the latest in a long list of design collaborations initiated by the brand, including a recent partnership with furniture company Hay.
In an interview with Dezeen, COS managing director Marie Honda explained how the brand is heavily influenced by architecture and design, preferring to undertake creative collaborations rather than conventional advertising and catwalk shows.
For Milan design week 2016, the company unveiled a "forest of light" created by Japanese architect Sou Fujimoto, and has also created minimal window displays in collaboration with design duo Laetitia de Allegri and Matteo Fogale.
Earlier collaborations include clothes displays with garment-shaped cutaways designed by Snarkitecture for an LA pop-up shop, and a set of multilevel stands created by Till Wiedeck to present monochrome products.