The store, which is located in the Daikanyama area of Tokyo, will sell the Japanese designer's Homme Plissé range, a menswear collection created using Miyake's signature pleating technique.
Fukasawa's main intervention into the building was to add thin, deep beams across the ceiling that intersect at various points.
"￼The building, in the form of a trapezoid concrete box, had no beams," said Fukasawa. "Thin wide beams were consequently passed through, thus partitioning the structure into a space above people's line of sight and a space below."
Clothes hanging from each of these beams are generously spaced and organised according to colour and fit.
Fukasawa, who has previously designed products for Muji and electronics brand Hitachi, used concrete for the walls and floors to mimic the building's exterior and contrast with the brightly coloured clothing.
Issey Miyake was set up by its namesake founder and fashion designer in the 1970s. Examples of the brand's innovative fabric-folding techniques include a range of clothes that expand from two-dimensional geometric shapes into structured shirts, skirts, pants and dresses.
The Japanese fashion house has collaborated with numerous architects and designers for past shop installations and interiors, including Emmanuelle Moureaux's series of interlocking coloured sticks and Tokujin Yoshioka's display of 2D shapes that fold into structured dresses.