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Revista U.D.C.A Actualidad & Divulgación Científica

Print version ISSN 0123-4226

Abstract

ENRIQUEZ ORTEGA, William; MILLAN, Brayan Andrés  and  AROCA ARAUJO, Armando. ANALYSIS OF THE DESIGNS OF IRACA HATS MADE IN COLÓN - GENOVA, NARIÑO. rev.udcaactual.divulg.cient. [online]. 2012, vol.15, n.1, pp.227-237. ISSN 0123-4226.

This document presents an analysis of the interlaces used in the configuration of nine straw hat styles produced by the Colón - Génova community, Nariño, Colombia. These hats are known under the names of Común, Pintao, Gallineto- Granizo, Fino, Cuadros, Calado or Huecos, Costeño or Vueltiao, Bandera and Bird's-Eye. The interpretation of the geometric thought employed in the design of these hats had like reference, between other authors, the methodologies proposed by Gerdes (1999) and Aroca (2009), that have been applied in the African continent and in South America. Besides, the existence of a logic of the construction became established, based in count strategies and organization that become evident in the crossed of the iracas or chullas. The evolution techniques were evidenced, which imply modifications in the basic fabric bearing to changes in the logic of the construction, resulting in the generation of new designs that search to fulfill to the needs of the present-day society. Craftsmen discuss the symmetry in their designs applying complex processes of estimate and count, which are tried to show. The symmetric figures correspond to triangles, quadrilateral and hexagons organized in stripes that fulfill properties of congruence, similarity and parallelism, being this a language of the researchers interpretation validated upon showing the results to academic communities.

Keywords : Etno-mathematics; mathematics education; web sheme; straw hats.

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