Foot-treadle floor looms
Handweavers today tend to use looms with at least four shafts or harnesses. Each shaft contains a set of heddles through which yarn can be threaded (and attached, through a variety of mechanisms, to the front and back beams of the loom), and by raising the harnesses in different combinations, a variety of patterns can be achieved. Looms with two such shafts are called rigid heddle looms and variants with eight or more shafts are available.
The shafts on a floor loom are controlled by a series of foot pedals (called treadles). This is an important development, since it keeps the weaver's hands free to manipulate the shuttle and it is easy to raise and lower warp threads in selected combinations. As the material is woven, it can be wrapped around the front beam, as unwoven yarn is unrolled from the front beam, so length is not limited by the size of the loom. A table loom is similar, but, as the name suggests, it is smaller and equipped with levers rather than treadles, since it is made to sit on a stand or on top of a table.
Haute lisse looms
Looms used for weaving traditional tapestry are classified as haute lisse looms, where the woof is suspended vertically between two rolls, and the basse lisse looms, where the woof extends horizontally between the rolls.
Power looms
The first power loom was built by the Englishman Edmund Cartwright in 1785. Originally, powered looms were shuttle-operated but in the early part of the 20th century the faster and more efficient shuttleless loom came into use. Today, advances in technology have produced a variety of looms designed to maximize production for specific types of material. The most common of these are air-jet looms and water-jet looms. Computer-driven looms are now also available to individual (non-industrial) weavers.
The Jacquard loom
The Jacquard loom was the first machine to use punch cards. It uses punched cards to control the pattern being woven.
Reference
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"The Art and History of Weaving" (http://www.faculty.de.gcsu.edu/~dvess/ids/fap/weav.html)
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Warping and weaving on a warp-weighted loom (http://vt.essortment.com/warpingweaving_rkpp.htm)