Browse Results

Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving

Sort by:
	Title Date current to earliest Date earliest to current

Click on the URL to view the document and on the title to view the complete index entry.
Page 1 of 2	1  2	Previous   Next
17 Records
Baskets in Polynesia by Wendy Arbeit (1990) [http://www.ethnomath.org/resources/arbeit1990.html] This book describes the basket weaving craft of the Pacific islands, focusing on the east and central parts of the South Pacific basin (or central Polynesia), including the “transition zone” of Fiji where both Melanesian and Polynesian influences can be found. Separate chapters are devoted to Fiji, Tonga, Samoa, Cook Islands, and French Polynesia. Evidence of basket style uniformity in this region may reflect early patterns of migration and voyage. It is noted that New Zealand, Easter Island, and the Hawaiian Islands are not covered, left for separate researches or investigations. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Cultural Context>Cultural Awareness Geographical area: Fiji, Oceania, Samoa (Western), Tonga Cultural group: Fijian, Oceanian, Polynesian, Samoan (Western), Tongan Choices and constraints: Pattern formation in oriental carpets by Carol Bier (1999) [http://www.scipress.org/journals/forma/pdf/1502/15020127.pdf] This report delves into the “dynamic relationships of choices and constraints” by which both symmetry and symmetry-breaking are used in weaving to turn repetitive patterns into impressive works of art. On the premise that “patterns in nature result from dynamic relationships of forces and constraints,” this treatise based on studies of Oriental carpets, proposes that “patterns in art result from dynamic relationships of choices and constraints.” If art is the product of creativity and skill, “creativity is constrained by cognitive processes and skill by the limits of technology.” Other terms: longitudinal, weft, knots, rug-weaving, rectilinearity, permutation, warp, orthogonal, algorithm, topology, fractal, innumeracy, combinatorics, juxtaposition, unitary, systemic. (Includes 8 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Numbers and Computation>Patterns and Sequences (Arithmetic) Geographical area: Arabia, Iran, Iraq, Middle East, Turkey Cultural group: Arab, Islamic, Middle Easterner, Turk Exploring plaited plane patterns among the Tonga in Inhambane (Mozambique) by Paulus Gerdes (2001) [http://www.ethnomath.org/resources/gerdes2001b.pdf] This study focuses on the plaited plane patterns that are evident in the twill-plaited baskets made by Tonga weavers in the coastal Inhambane province in southeast Mozambique. Quality baskets made by Tonga artisans are highly appreciated for their beauty and utility. Hundreds of various strip patterns are known to have been cataloged. Creative Tonga weavers appear to be inventing new plane patterns. “In general, two plane patterns are considered instances of the same plane pattern if one can be transformed into the other by a (sequence of) rotation(s), translation(s), and/or reflection(s).” This report covers an interesting series of recently created plane patterns. “The invention of the plane patterns responds…to the intellectual, geometric and artistic pursuit of their creator(s), attracting the natural attention of other mathematicians.” Other terms: gipatsi, strip patterns, axial symmetry. (Includes 5 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Geometry and Topology>Plane Geometry>Patterns>Symmetry, Geometry and Topology>Plane Geometry>Patterns (Plane Geometry), Instructional Issues>Educational Research Geographical area: Mozambique Cultural group: Mozambican Geometría Maya: una geometría de mosaicos by Leonel Aldana [http://www.csus.edu/indiv/o/oreyd/ciaem/wg2Aldana.htm] Numerous illustrations show geometric patterns based on traditional Mayan designs that are woven into textiles and clothing used today in Guatemala. The designs are mainly mosaic patterns composed of triangles. Lesser than (<) and greater than (>) signs are identified as being generative elements to which different operators are applied (translation, homology, and rotation) to develop forms which are repeated to define chains which form mosaics. The author proposes using such patterns to teach geometry to Guatemalan school children as a form of increasing self-esteem and recognizing this cultural treasure. Other terms: indigenous knowledge, rhombus. (Includes 18 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Clothing Design, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Embroidery, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Cultural Context>Influence of Culture on Teaching Mathematics>Culturally-based Instruction, Geometry and Topology>Plane Geometry>Patterns>Geometric Patterns, Geometry and Topology>Plane Geometry>Patterns>Symmetry, Geometry and Topology>Plane Geometry>Transformations>Rotation (Transformations), Geometry and Topology>Plane Geometry>Transformations>Translation (Transformations), Geometry and Topology>Plane Geometry>Angles, Geometry and Topology>Plane Geometry>Polygons, Geometry and Topology>Plane Geometry>Triangles Gifts & blessings - The textile arts of Madagascar (2002) [http://www.nmafa.si.edu/exhibits/malagasy/index.html] This webpage describes the role of handwoven cloth or lamba of Madagascar (located off the coast of Mozambique, Africa), which is considered to be a symbol of the Malagasy culture and artistic heritage. “The Malagasy exchange cloth to demonstrate ethnic identity, status and ties of mutual respect and loyalty.” The lamba is used in many ways: as ceremonial gifts to rulers (e.g. former U.S. President Grover Cleveland received silk lamba from the Queen of Madagascar in the late 1800’s); offered to the spirits for blessings; men present cloth to their brides at marriage; they are also used in funeral rites and other ceremonies. The treasured material supports and “binds” human relations. The symbolic elements are reflected in their design, color, size, fiber, and so forth. The study provides a point of departure in exploring various aspects of Malagasy culture and studies related to ethnic geometric and other patterns. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Clothing Design, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Geometry and Topology>Plane Geometry>Patterns>Geometric Patterns Geographical area: Madagascar Cultural group: African, Malay (Malaysia), Polynesian Have you seen (ISGEm Newsletter, Volume 8, Number 1, November 1992) (1992) [http://www.ethnomath.org/resources/ISGEm/062.htm] This bibliography reviews two books (one on learning activities that promote equity and the other on multicultural mathematics activity cards) and two articles by Paulus Gerdes (one on ethnomathematical research on symmetry and the other on fivefold symmetry of various woven objects found in many cultures). Other terms: baskets, pentagon, Chinese, Papago Indian, games, language, communication, cooperation, Mozambique, thimble, Indonesian, Timor, Kenyan, Japanese. (Includes 4 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Cultural Context>Influence of Culture on Teaching Mathematics>Multicultural Approaches to Teaching, Cultural Context>Cultural Perspectives on Mathematics, Equity, Geometry and Topology>Plane Geometry>Patterns>Symmetry Hawaiian nets and netting by John Stokes (1906) [http://www.ethnomath.org/resources/stokes1906.pdf] This report describes Hawaiian nets and netting, with details depicting cord knots and resulting loop circles for hanging and carrying gourds. Various other combinations of knots and loops creating triangular and rectangular formations are provided. Numerous photographs and illustrations support the descriptions for easy following, in addition to lists of netting tools. Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Numbers and Computation>Measurement>Units of Measurement Geographical area: Hawaii (United States) Cultural group: Hawaiian Maori canoe-sail in the British Museum by Peter Buck (1931) [http://www.ethnomath.org/resources/buck1931.pdf] This article describes the “joins” of a Maori canoe sail, depicting the sail as having been “plaited in thirteen segments or papa, and the weft widths of ten, twelve, thirteen or so to the inch” as fairly fine. The report terms the join between segments as a “single join from the Maori technical term of hono tahi.” The interlacing of dextral and sinistral wefts is also described with an accompanying illustration, as are the interlocking horizontal and vertical positions of raised and bent wefts in the sail, which are both at 45 degree angles. (Includes 6 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Sewing, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Numbers and Computation>Measurement>Linear Measure Geographical area: New Zealand Cultural group: Maori Maori plaited basketry and plaitwork. 1: mats, baskets, and burden-carriers by Peter Buck (1923) [http://www.ethnomath.org/resources/buck1923.pdf] This article provides detailed diagrams and photographs showing the manufacture of checker-work and twill-work patterns for mats, baskets (kete), and burden-carriers (kawe). Data was compiled from a subtribe of the Whanganui Tribe who lived along a river of the same name. Explanations are provided covering the definition of terms, the preparation and manufacturing processes, as well as the use of the baskets. It is noted that many variations of basketry and plaiting existed among New Zealand tribes, and over 70 words or names are listed in Williams’s Maori Dictionary for baskets alone. (Includes 9 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving Geographical area: New Zealand Cultural group: Maori Maori plaited basketry and plaitwork. 2: belts and bands, fire-fans and fly-flaps, sandals and sails by Peter Buck (1924) [http://www.ethnomath.org/resources/buck1924.pdf] This article, which follows Part I, provides detailed descriptions, illustrations, and photographs showing the plaiting patterns for headbands (tipare), men's and women's belts, cooking bowls, fire-fans, fly-flaps or whisks, sandals, and sails of New Zealand tribes. (Includes 11 references) Subject: Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Basketry, Applied Mathematics>Mathematics for Humanities>Decorative Arts and Design>Weaving, Numbers and Computation>Measurement>Units of Measurement Geographical area: New Zealand Cultural group: Maori