Geometria e identidade visual da etnia Xukuru de Cimbres: uma análise descritiva por meio de entes matemáticos, figuras geométricas e seus significados culturais

Abstract

The objective of this work is to perform a descriptive analysis of the cultural identity of the Xukuru de Cimbres ethnicity, located in the rural area of Pesqueira/PE. The investigation focuses on identifying mathematical entities and geometric figures present in the standard pattern that composes the group's visual identity. It is noteworthy that the identification and interpretation of these elements were guided by an interview with the creator of the visual identity, Mr. Wagnei Siqueira Cabral, whose contributions were fundamental to understanding the symbolic and structural meanings incorporated into the graphic composition. The identity of a traditional people is strongly expressed in their ornaments, rituals, and visual elements, which represent them with depth and symbolism. The analyzed visual elements reveal a profound connection with local cosmology: the triangle represents the Pitó Mountain and territorial organization; the rhombus (diamond) refers to the eyes of the Encantados; the ellipse symbolizes movement and the cycle of life; parallel lines suggest collective trajectories; and the curves of the snail braid (trança caracol) evoke continuity and ancestry. Regarding geometric entities, there is the presence of parallel lines, line segments, and points (found at the intersection of line segments and/or the geometric figures of the triangle and rhombus). By conducting this study, we hope to provide resources for indigenous and general education teachers, integrating cultural and mathematical knowledge. Therefore, recognizing geometry in local traditions makes it possible to broaden the understanding of mathematics as a living knowledge across diverse social and cultural contexts.