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209
result(s) for
"Friezes"
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Symmetry analysis of ornaments in Serbian medieval frescoes art
2024
The ornaments from the Serbian medieval frescoes belong to the religious decorative art with the restricted set of possible motifs, frequently related to a cross, and thus the basic motifs can fit in a very limited number of symmetry groups. The main criterion for the quality of such ornamental art could be the richness and variety of patterns obtained from a very small number of symmetry groups, proving the creativity of their authors - their ability to create variety with a very restricted number of initial symmetry groups. Here we analyze these ornaments and their symmetry group and give an introductions to further work on automated symmetry group recognition and pattern reconstruction.
Journal Article
The aesthetics of frieze patterns: Effects of symmetry, motif, and element size
2022
Frieze patterns appear frequently in architectural designs and ornamental patterning but their aesthetic qualities have never been studied experimentally. In the first experiment, 39 undergraduates used a seven-point rating scale to assess the perceived beauty of the seven basic frieze types presented at a horizontal orientation. The friezes consisted of individual curved and linear motifs as well as random textures. Friezes that filled the entire pattern region and which contained emergent global features were preferred the most. In a second experiment, we utilized horizontal texture friezes that were completely filled and which varied in size and number of elements. Participants preferred patterns with larger features, probably because they make detection of the symmetric transformations more visible. The frieze with the greatest number of symmetries was preferred most but symmetric complexity by itself could not completely account for the predicted preference ordering. In both studies, friezes containing horizontal mirrors (translation, 180° rotation, horizontal mirror, vertical mirror, and glide reflection and translation, horizontal mirror, and glide reflection) were preferred far more than any other condition. Horizontal symmetry may enhance perceived beauty in these cases because it runs parallel to and so emphasizes the overall frieze orientation.
Journal Article
The Tree of Life, Archetype and Artifice
2024
Art historian Dusan Nikolic wrote, “Under the presidency of Klimt, they founded the Union of Austrian Artists Vienna Secession, intending to educate society through future-oriented artistic concepts and infusing life with art.” Science writer David Quammen explores this topic in his book The Tangled Tree: A Radical New History of Life and documents how trees have been used to categorize the diversity of life forms that emerged and evolved from some common ancestral microbe billions of years ago. Nikolic D. Viennese visionary: the life and art of Gustav Klimt [cited 2024 Jul 30] https://www.thecollector.com/life-and-art-of-gustav-klimt Quammen D. The tangled tree: a radical new history of life.
Journal Article
A~ and D~ type cluster algebras: triangulated surfaces and friezes
2022
By viewing
A
~
and
D
~
type cluster algebras as triangulated surfaces, we find all cluster variables in terms of either (i) the frieze pattern (or bipartite belt) or (ii) the periodic quantities previously found for the cluster map associated with these frieze patterns. We show that these cluster variables form friezes which are precisely the ones found by Assem–Dupont by applying the cluster character to the associated cluster category.
Journal Article
Operations on the Set of Scalar and Matrix-Valued Quiddity Sequences
by
Felipe, Raúl
in
Abstract Harmonic Analysis
,
Chebyshev approximation
,
Convex and Discrete Geometry
2024
Our purpose in this paper is, in the first place, to endow the space of quiddity sequences corresponding to the usual frieze patterns with a SET operad structure, and second to introduce and study
M
-quiddity sequences where
M
is a monodromy block matrix of order two. Also, we examine related topics such as the possibility of defining matrix-valued friezes patterns and noncommutative signed Chebyshev polynomials.
Journal Article
Lemnos, Cimon, and the Hephaisteion
2021
This paper presents the case for reading the Hephaisteion as a temple planned and begun by the Philaid family early in the fifth century. It was originally designed to give a house to Hephaestus in Athens after the successful campaign of Miltiades brought the island of Lemnos, traditionally the home of Hephaestus, under Athenian control. Work on the temple was interrupted by the death of Miltiades but resumed in the wake of Cimon’s successful northern ventures. The strong association of Miltiades and Cimon with the strategic islands of the northern Aegean suggests that the correct interpretation of the Hephaisteion’s east frieze is the expulsion of the Pelasgians from Athens. Their punishment is interpreted here as a mythological analogue for the annexation of the Pelasgians’ island, Lemnos. Evidence from the island demonstrates that the Athenian cleruchs on Lemnos were eager to distinguish themselves from the Lemnians. The Pelasgian episode enabled them to demonstrate this, and to emphasize their Athenian identity.
Journal Article
The lithic garden : nature and the transformation of the medieval church
by
Doquang, Mailan S
in
Architecture, Medieval -- France
,
Church architecture -- France
,
Church buildings
2018
This ambitious book offers new perspectives on the role of vegetal ornament in medieval church design. Focusing on an extensive series of foliate friezes articulating iconic French monuments, such as Cluny III, Amiens Cathedral, and Mont-Saint-Michel, it demonstrates that church builders strategically used organic motifs to integrate the interior and exterior of their structures, and to reinforce the connections and distinctions between the entirety of the sacred edifice and the profane world beyond its boundaries. Mailan S. Doquang shows that, contrary to widespread belief, monumental flora was not just an extravagant embellishment devoid of meaning and purpose, or an epiphenomenon, but a semantically charged, critical design component that inflected the stratified spaces of churches in myriad ways. The friezes encapsulated and promoted core aspects of the Christian faith for medieval beholders, evoking the viridity of the paradisiacal garden, Christ as the True Vine, the Eucharistic wine and ritual, and the golden vine of the Temple of Jerusalem, originally built by the wise King Solomon. By situating the proliferation of foliate friezes within the context of the Crusades, moreover, this study provides new insights into the networks of exchange between France, Byzantium, and the Levant, and contributes substantially to the “global turn” in the field of medieval art and architectural history.
Developing Design Approaches for Tile Pattern Designs Inspired by Traditional Textile Patterns
2022
This article presents multidisciplinary research that involved design (i.e., textiles, tiles, pattern design), mathematics (i.e., symmetry and seven frieze groups) and a viewpoint on product design and development for business opportunities. This research comprised a design experiment and a survey. In the design experiment, two design approaches were created to translate the characteristics of traditional textile patterns into new pattern designs for floor tiles. These two design approaches were entitled: “partial replication”, and “combination and simplification”. The seven frieze groups were used as a transformation rule in both design approaches, resulting in two sets of frieze patterns. Although they were derived from the same origin, they looked different. A survey was conducted with 61 respondents to gain outsiders’ perspectives on these new pattern designs. The findings include: (i) positive responses to applying traditional textile patterns to other products, (ii) plausible products for pattern designs, (iii) preferences for design approaches and frieze patterns and (iv) opportunities for design research and education with other disciplines. This paper concludes with theoretical and practical implications for further research.
Journal Article