Beyond symmetry groups: A grouping study on Escher's euclidean ornaments

2014-01-01
Adanova, Venera
Tarı, Zehra Sibel
Copyright © ACM.From art to science, ornaments constructed by repeating a base motif (tiling) have been a part of human culture. These ornaments exhibit various kinds of symmetries depending on the construction process as well as the symmetries of the base motif. The scientific study of the ornaments is the study of symmetry, i.e., the repetition structure. There is, however, an artistic side of the problem too: intriguing color permutations, clever choices of asymmetric interlocking forms, several symmetry breaking ideas, all that come with the artistic freedom. In this paper, in the context of Escher's Euclidean ornaments, we study ornaments without reference to fixed symmetry groups. We search for emergent categorical relations among a collection of tiles. We explore how these relations are affected when new tiles are inserted to the collection. We ask and answer whether it is possible to code symmetry group information implicitly without explicitly extracting the repetition structure, grids and motifs.

Suggestions

Beyond symmetry groups: A grouping study on Escher's Euclidean ornaments
Adanova, V.; Tarı, Zehra Sibel (2016-01-01)
© 2015 Elsevier Inc.From art to science, ornaments constructed by repeating a base motif (tiling) have been a part of human culture. These ornaments exhibit various kinds of symmetries depending on the construction process as well as the symmetries of the base motif. The scientific study of the ornaments is the study of symmetry, i.e., the repetition structure. There is, however, an artistic side of the problem too: intriguing color permutations, clever choices of asymmetric interlocking forms, several symm...
An Escher aware pattern analysis: symmetry beyond symmetry groups
Adanova, Venera; Tarı, Zehra Sibel; Department of Computer Engineering (2015)
Ornaments constructed by repeating a base motif, timeless and ubiquitous, link culture, art, science and mathematics. To this date, the mathematical study of the ornaments has been the study of discrete symmetry groups and permutations. As such, the study merely focuses on the mechanical side of repetition, ignoring the artistic aspects (symmetry breaking strategies via intriguing choices of form and color permutations) that make ornaments such bewildering objects. Taking our inspiration from Escher's art, ...
DRAWING TECHNIQUES ON THE DESIGN CONCEPT PHASE: AN ANALYSIS OF BRAZILIAN, JAPANESE AND TURKISH STUDENTS' STRATEGIES
Torrezzan, Cristina; Van der Linden, Julio; Bohemia, Erik; Kaygan, Pınar; Bernardes, Mauricio (2019-01-01)
Professionals such as product designers, architects, and engineers have an intrinsic relationship with drawing, using it to represent everything from the creative sketches of a proposal to its production. In this sense, technical drawing and sketching techniques are a relevant part of design education. In this context, this article presents an analysis of drawings developed by product design students from different countries working in the Global Studio 2018, an international interinstitutional project. In ...
Proposal for a non-dimensional parametric interface design in architecture : a biomimetic approach
Arslan Selçuk, Semra; Sorguç, Arzu; Department of Building Science in Architecture (2009)
Biomimesis, the imitation of animate and inanimate forms in nature to inspire new designs, is term introduced in the 20th century. The concept that there exist models and solutions in nature that may improve and optimize the way mankind lives has been the subject of much discussion. Although biomimesis as a well-defined discipline is a relatively recent concept, modeling nature is as old as mankind itself and can be seen in many different forms in all aspects of life. In the field of architecture there have...
Criticism of contemporary art initiatives in arts from feminist standpoint theory: the case of Ankara / Turkey.
Akbıyık, Merv; Ecevit, Mehmet Cihan; Department of Gender and Women's Studies (2020)
The purpose of this thesis is based on to claim that in paradigmatic problematization of art, contemporary art and specificities of subjectivities of contemporary art initiatives which is in contemporary art should be understood on the basis of knowledge and politics. The approach to contemporary art initiatives through Feminist Standpoint Theory will also bring the understanding of contemporary art that is critical to capitalist understanding of contemporary art. The institutionalized capitalist contempora...
Citation Formats
V. Adanova and Z. S. Tarı, “Beyond symmetry groups: A grouping study on Escher’s euclidean ornaments,” 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54127.