# The Spatial Efficiency of the Bifold Door

The Spatial Efficiency of the Bifold Door

Consider the typical bifold door, often used for closets; as it opens, it sweeps out a region enclosed by a curve. The equation for the boundary curve of this region is for and for ≤x≤2.

1-

2

x

0≤x≤

1

2

3/2

(-)

2/3

2

2/3

x

1

2

This Demonstration shows how the bifold door compares to a regular double door with regard to the space they take up. Vary the position of the doors to see how much area has been swept out. You can also choose to observe the doors with the curve, the point of intersection between the door and the curve, or the region swept out.