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

Date

2016-01-01

Author

Adanova, V.
Tarı, Zehra Sibel

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

34
views

0
downloads

© 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 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 collections of tiles. We explore how these relations are affected when new tiles are inserted to the collection. We explore whether it is possible to code symmetry group information implicitly without explicitly extracting the repetition structure, grids and motifs.

Subject Keywords

Content/style, Ornaments, Symmetry, Style based grouping, Wallpaper groups

URI

https://hdl.handle.net/11511/57582

Journal

Graphical Models

DOI

https://doi.org/10.1016/j.gmod.2015.09.001

Collections

Department of Computer Engineering, Article

Suggestions

OpenMETU
Core

Beyond symmetry groups: A grouping study on Escher's euclidean ornaments Adanova, Venera; Tarı, Zehra Sibel (2014-01-01) 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...
Analysis of Planar Ornament Patterns via Motif Asymmetry Assumption and Local Connections Adanova, Venera; Tarı, Zehra Sibel (2019-03-01) Planar ornaments, a.k.a. wallpapers, are regular repetitive patterns which exhibit translational symmetry in two independent directions. There are exactly 17 distinct planar symmetry groups. We present a fully automatic method for complete analysis of planar ornaments in 13 of these groups, specifically, the groups called p6, p6m, p4g, p4m, p4, p31m, p3m, p3, cmm, pgg, pg, p2 and p1. Given the image of an ornament fragment, we present a method to simultaneously classify the input into one of the 13 groups a...
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, ...
The Concept of disinterestedness in modern philosophy of art: Kant, Schopenhauer, Nietzsche, and Heidegger Akkökler Karatekeli, Büşra; Turan, Şeref Halil; Department of Philosophy (2016) This thesis aims to investigate the concept of disinterestedness in the modern philosophy of art. To this end, I firstly attempt to elucidate how this concept is described and gained its specific meaning in Kant. Then, I focus on Schopenhauer’s salient contribution to the discussion of aesthetic disinterestedness – thought along with his metaphysics –, namely the body, and attempt to bring into view the relation between the body and aesthetic disinterestedness. In the following, I investigate how Nietzsche’...
Learning from folding for design in kinetic structures in architecture Çavuş, Özlem; Gönenç Sorguç, Arzu.; Department of Building Science in Architecture (2019) This thesis explores the idea of flat and curved folding with the desire to contribute to the expansion of design in kinetic structures and its practice. It is described how these manifold notions can be used to understand in architectural discourse and its practical implications towards performative and responsive architecture. In this research, it is questioned how it can be learnt from mathematics of folding techniques so that what is learnt can be transformed into real plates and linkages of kinetic sys...

Citation Formats

V. Adanova and Z. S. Tarı, “Beyond symmetry groups: A grouping study on Escher’s Euclidean ornaments,” Graphical Models, pp. 15–27, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57582.