Martin Do Pham

This piece is an exploration of space-filling curves, curves that map every point of a space into a higher-dimensional space. Inscribed into the decorative grid-shaped leather front of the bag is a Peano curve after three iterations. The design is made of leather cord with studs as the vertices of the curve. The Peano curve was the first example of a space-filling curve where every point on the unit interval could be mapped to the unit square. The flatness of the leather bag is a movement in the opposite direction: a three-dimensional bag is made as thinly as possible into a flat canvas on which a line may be mapped to a square. In this way, the bag embodies aspects from across one, two and three dimensions.