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The style is most commonly associated with the Celtic lands, but it was also practiced extensively in England and was exported to Europe by Irish and Northumbrian monastic activities on the continent. J. Romilly Allen has identified "eight elementary knots which form the basis of nearly all the interlaced patterns in Celtic decorative art". [4] [5]
Ada Dietz (1882 – 1981) was an American weaver best known for her 1949 monograph Algebraic Expressions in Handwoven Textiles, which defines weaving patterns based on the expansion of multivariate polynomials. [9] J. C. P. Miller used the Rule 90 cellular automaton to design tapestries depicting both trees and abstract patterns of triangles. [10]
Aidan Meehan is an Irish artist and author of 18 books on Celtic art and design. [1] [2] including the eight-volume Celtic Design series and Celtic Alphabets, Celtic Borders, The Book of Kells Painting Book, The Lindisfarne Painting Book and Celtic Knots, all published by Thames & Hudson
The triquetra is often used artistically as a design element when Celtic knotwork is used, especially in association with the modern Celtic nations. The triquetra, also known as a "Irish Trinity Knot", is often found as a design element in popular Irish jewelry such as claddaghs and other wedding or engagement rings.
Celtic art has used a variety of styles and has shown influences from other cultures in their knotwork, spirals, key patterns, lettering, zoomorphics, plant forms and human figures. As the archaeologist Catherine Johns put it: "Common to Celtic art over a wide chronological and geographical span is an exquisite sense of balance in the layout ...
His son Iain Bain, an engineer, later wrote two books - "Celtic Knotwork" and "Celtic Key Patterns" that were intended to simplify the creation of knotwork and keypattern designs by using grid lines and diagonals rather than the mathematical formulae applied by his father.
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