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A Möbius strip scarf made from crochet. Ideas from mathematics have been used as inspiration for fiber arts including quilt making, knitting, cross-stitch, crochet, embroidery and weaving. A wide range of mathematical concepts have been used as inspiration including topology, graph theory, number theory and algebra.
In 2004 Osinga created a crocheted visualization of the Lorenz manifold, an invariant manifold for the Lorenz system, and published the crochet pattern for her work with her husband Bernd Krauskopf; the resulting mathematical textile artwork involved over 25,000 crochet stitches, and measured nearly a meter across.
There are two basic forms of knitting patterns: Text patterns which use numerals and words (and usually abbreviations), and; Chart patterns which use symbols in a chart. Some patterns include the entire instructions in both forms, as some knitters prefer one or the other. Some patterns mix the forms to take advantage of the best of each.
Crochet is traditionally worked from a written pattern using standard abbreviations or from a diagram, thus enabling non-English speakers to use English-based patterns. [32] To help counter confusion when reading patterns, a diagramming system using a standard international notation has come into use (illustration, left).
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Intarsia patterns are almost always given as charts (which, because of the mechanics of knitting, are read beginning at the lower right and continuing upward). The charts generally look like highly pixellated cartoon drawings, in this sense resembling dot-matrix computer graphics or needlepoint patterns (though usually without the colour nuance ...
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Traditionally, charts for illusion knitting use four rows of knitting symbols to represent the stitches which the designer wishes to be seen. This makes the charts elongated and difficult to use for anything other than simple blocks of colour. These four rows make up two pairs where, in most cases, one pair is considered the opposite of the other.
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