Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: motif

Sortuj według:

Ogranicz wyniki do:

Symmetry

Rychlewski Jan

Engineering Transactions

2023

Vol. 71, iss. 2

265--283

The concept of symmetry was introduced already by the ancient Greeks in relation to spatial (geometric) systems. They understood it as commensurability and proportionality and linked it with the aesthetic categories of harmony and beauty. A spatial system (object) was considered symmetric if it consisted of regular, repeatable parts of comparable size, creating a coordinated, ordered, larger whole. Only two thousand years later, in the twentieth century, the essence of the concept of symmetry was identified. Symmetry is invariance (stability, durability, constancy) of a feature (geometric, physical, biological, informational, etc.) of an object (an object can here be a geometric system, a material thing, but also a natural phenomenon, physical law, social relation, etc.) after subjecting it to a set of transformations (transformations can be shifts, reflections, rotations, permutations, etc.), with respect to which symmetry is considered. The above observation led to the discovery of the universal nature of the concept of symmetry, which in a broader sense can be understood as a philosophical category, one of the fundamental regularities of mathematical character in the organization of the Universe. The contemporary understanding of symmetry has led to significant and nonobvious conclusions. For example, it turned out that the invariance (symmetry) of the laws of motion with respect to the shift in time is equivalent to the necessity of the existence of the principle of conservation of energy, the invariance (symmetry) of the laws of motion with respect to the shift in physical space proves to be equivalent to the existence of the principle of conservation of momentum. The Report provides an outline of the general formal language of symmetry applicable to the study of any situation in which this concept appears. The key elements of the mathematical apparatus of the algebraic theory of symmetry are defined and discussed, the notions of Γ-sets, orbits, orbital markers, invariants, and invariant functions. They provide versatile tools enabling the analysis of all types of symmetries. The Report concisely presents important results of the theory of symmetry, such as: the ornament principle – expressing the most straightforwardly the innermost property of complex symmetrical objects, the representation theorem for symmetric objects, the theorem on the symmetry of causes and effects of physical laws, the theorem on invariant extension of any function.

Motifs and Symmetry Characteristics of the Ornamentation on Traditional Greek Woven Textiles from the Area of the Aegean

Lekka L., Dascalopoulos S.

Fibres & Textiles in Eastern Europe

2008

Vol. 16, no. 3 (68)

74--78

This paper presents an analysis of woven ornamentation of traditional Greek textiles from the area of the Aegean. The aim of this research is to explore the relationship between woven ornamentation and the technology used for its construction. Ornament forming on woven structures is specific because of the influence and restrictions that weave technology imposes on the aesthetic result of the artifacts produced. In this study, a group of traditional hand–woven fabrics from the Aegean area was digitally recorded. The decoration and motifs of these textiles /were analysed using the international classification and notation system created by H. J. Woods and M. A. Hann, taking into account the limitations that exist in the case of woven ornaments. This methodology enables the classification of woven ornaments into categories, making possible the comparison of ornament ‘types’ with the weave techniques used. Results of the symmetry analysis of these textiles are presented in this paper and lead to some conclusions that show that technology plays a determinant role in the appearance of woven ornaments.

W pracy zaprezentowano analizę zdobnictwa tradycyjnych greckich tekstyliów z obszaru wybrzeża Morza Egejskiego. Celem badań było znalezienie związku pomiędzy zdobieniami a techniką użytą do ich wykonania. Tworzenie zdobień na strukturze tkaniny jest specyficznym procesem, ponieważ technologia tkania narzuca pewne ograniczenia, czym wpływa na ostateczną estetykę wyrobu. W pracy zapisano cyfrowo grupę ręcznie tkanych tradycyjnych tkanin z obszaru wybrzeża Morza Egejskiego. Analizowano zdobienia i motywy tych tekstyliów używając klasyfikacji i systemu zapisu stworzonego przez H.J. Woods’a i M.A. Hann’a, a także biorąc pod uwagę ograniczenia istniejące w kwestii zdobień tkanin. Taka metodologia umożliwia podział zdobień na kategorie, czyniąc możliwym porównanie typów zdobień z użytą do ich wytworzenia techniką. W artykule zaprezentowano wyniki analizy symetrii tekstyliów, które pokazują, że technika wytwarzania odgrywa zasadniczą rolę w wyglądzie zdobień.