Strictly speaking, most veils are made from some type of netting. Ordinary tulle--which the vast majority of veils are made from--is actually a very fine
mesh netting. When you think of net, however, you probably envision large-mesh
Russian or French style netting. Short
birdcage veils and hat veils are often made with this coarser-weave veil
netting. Examples of birdcage or short net veils include
Katherine Heigl's wisp of a wedding veil, Reese Witherspoon's veil in the
movie Sweet Home Alabama, and
Jessica Alba's birdcage veil in Fantastic Four 2: Rise of the Silver Surfer.
Learn how to make a birdcage veil here.