Knitting in the context of "Mathematics and art"

Textile is an umbrella term that includes various fibre-based materials, including fibres, yarns, filaments, threads, and different types of fabric. At first, the word "textiles" only referred to woven fabrics. However, weaving is not the only manufacturing method, and many other methods were later developed to form textile structures based on their intended use. Knitting and non-woven are other popular types of fabric manufacturing. In the contemporary world, textiles satisfy the material needs for versatile applications, from simple daily clothing to bulletproof jackets, spacesuits, and doctor's gowns.

Textiles are divided into two groups: consumer textiles for domestic purposes and technical textiles. In consumer textiles, aesthetics and comfort are the most important factors, while in technical textiles, functional properties are the priority. The durability of textiles is an important property, with common cotton or blend garments (such as t-shirts) able to last twenty years or more with regular use and care.

Yarn is a long continuous length of interlocked fibres, used in sewing, crocheting, knitting, weaving, embroidery, ropemaking, and the production of textiles. Thread is a type of yarn intended for sewing by hand or machine. Modern manufactured sewing threads may be finished with wax or other lubricants to withstand the stresses involved in sewing. Embroidery threads are yarns specifically designed for needlework. Yarn can be made of a number of natural or synthetic materials, and comes in a variety of colors and thicknesses (referred to as "weights"). Although yarn may be dyed different colours, most yarns are solid coloured with a uniform hue.

Nonwoven fabric or non-woven fabric is a fabric-like material made from staple fibre (short) and long fibres (continuous long), bonded together by chemical, mechanical, heat or solvent treatment. The term is used in the textile manufacturing industry to denote fabrics, such as felt, which are neither woven nor knitted. Some non-woven materials lack sufficient strength unless densified or reinforced by a backing. In recent years, non-wovens have become an alternative to polyurethane foam.

Woodturning is the craft of using a wood lathe with hand-held tools to cut a shape that is symmetrical around the axis of rotation. Like the potter's wheel, the wood lathe is a mechanism that can generate a variety of forms. The operator is known as a turner, and the skills needed to use the tools were traditionally known as turnery. The skills to use the tools by hand, without a fixed point of contact with the wood, distinguish woodturning and the wood lathe from the machinist's lathe, or metal-working lathe.

Items made on the lathe include tool handles, candlesticks, egg cups, knobs, lamps, rolling pins, cylindrical boxes, Christmas ornaments, bodkins, knitting needles, needle cases, thimbles, pens, chessmen, spinning tops; legs, spindles, and pegs for furniture; balusters and newel posts for architecture; baseball bats, hollow forms such as woodwind musical instruments, urns, sculptures; bowls, platters, and chair seats. Industrial production has replaced many of these products from the traditional turning shop. However, the wood lathe is still used for decentralized production of limited or custom turnings. A skilled turner can produce a wide variety of objects with five or six simple tools. The tools can be reshaped easily for the task at hand.

Knitted fabric is a textile that results from knitting, the process of inter-looping of yarns or inter-meshing of loops. Its properties are distinct from woven fabric in that it is more flexible and can be more readily constructed into smaller pieces, making it ideal for socks and hats.

Crochet (English: /kroʊˈʃeɪ/; French: [kʁɔʃɛ]) is a process of creating textiles by using a crochet hook to interlock loops of yarn, thread, or strands of other materials. The name is derived from the French term crochet, which means 'hook'. Hooks can be made from different materials (aluminum, steel, metal, wood, bamboo, bone, etc.), sizes, and types (in-line, tapered, ergonomic, etc.). The key difference between crochet and knitting, beyond the implements used for their production, is that each stitch in crochet is completed before the next one, while knitting keeps many stitches open at a time. Some variant forms of crochet however, such as Tunisian crochet and Broomstick lace, do keep multiple crochet stitches open at a time.