Methods of separation include:
In 1848, Henry Archer patented a "stroke process" for the perforation of stamps, and in 1854 a "rotary process" was patented by William Bemrose and Henry Howe Bemrose. The common aspect of the two processes was the use of rows of small round pins ("combs") to punch out the holes. The processes have been refined since then, but are basically still the ones in use in the 21st century. The key decision for the perforator is the spacing of the holes; if too far apart, the stamps will not separate easily, and the stamps will be likely to tear and be ruined, but if too close, the stamps will tend to come apart in normal handling, causing its own problems.
In a few cases the size of the holes has been a factor. In the case of certain stamps produced by Australia for sale in rolls rather than sheets (coil stamps) a pattern can be seen on the stamp's short side of two small, ten large and two small holes.
The standard for describing perforation is the number of holes (or the "teeth" or perfs of an individual stamp) in a 2-centimeter span. The finest gauge ever used is 18 on stamps of the Malay States in the early 1950s, and the coarsest is 2, seen on the 1891 stamps of Bhopal. Modern stamp perforations tend to range from perf 11 to 13 or so.
Stamps that are perforated on one pair of opposite sides and imperforate on the other have most often been produced in coils instead of sheets, but they can sometimes come from booklet panes. Booklet panes can be associated with any combination of one, two or three imperforate sides. Sheet edges can produce any one imperforate side or two adjacent imperforate sides when the stamp comes from the corner of the sheet.
Variations include syncopated perforations which are uneven, either skipping a hole or by making some holes larger. In the 1990s, Great Britain began adding large elliptical holes to the perforations on each side, as an anti-counterfeiting measure.
Rouletting uses small cuts in the paper instead of holes. It was used by a number of countries, but is rarely if ever seen on modern stamps. Varieties include straight cuts, arc, sawtooth, and the serpentine roulettes used by the early stamps of Finland.
A few types of stamps have combined rouletting and perforation, for instance South Africa in 1942.
The first self-adhesive stamp was issued by Sierra Leone in 1964, and by the 1990s these stamps came into wide use. These are inevitably diecut, meaning that the stamps themselves are cut entirely apart, held together only by the backing paper. At first the backing paper was itself solid, but in a repeat of history, is now slightly rouletted so as to facilitate tearing off blocks of stamps without having to remove them from the backing. Since the diecut goes all the way through the stamp, any shape will work, and the original self-adhesives were straight-edged. However, the tradition of perforation is so strong that more recent self-adhesives have a wavy diecut simulating the perforation. It can be recognized by studying the edge of the stamp closely; true perforations will have torn paper fibers on each tooth, while simulated perforations are smooth.
For the stamp collector, perforations matter, not only as a way to distinguish different stamps (a perf 10 may be rarer and more valuable than a perf 11 of the same design), but also as part of the condition of stamps. Short or "nibbed" perfs are undesirable and reduce value, as are bent or creased perfs.
As is inevitable for a mechanical process like perforation, many things can go wrong. Blind perfs are common, occurring when a hole is not completely punched out, as are offcenter perfs that cut into the design of the stamp, sometimes very badly. Occasionally pairs or larger groups of stamps may be imperforate between meaning that they are not separated on all sides. Although it is very common to have different gauges of perforation horizontally and verticaly, in rare circumstances a stamp may have different perforations on opposite sides; in the case of US stamps only a handful of these are known to exist.