Symmetry: Culture and Science

Julia Köck

Günter Maresch

Symmetry Culture and Science

Remarkable correlations between math grades and spatial thinking skills of primary and secondary school students

中小学学生数学成绩与空间思维能力的显著相关性

Jim McNeill

Flying further into the “K5-Galaxy”

深入“K5-银河”

Clement Ayarebilla Ali

Ernest Kofi Davis

Pupils’ recognition of geometric tessellations as patterns of traditional culture

学生对几何镶嵌作为传统文化图案的认知

Simone Brasili

Symmetry in Mathematics Education

数学教育中的对称性

Neda Chehlarova

Georgi Gachev

Figures with an axis of symmetry with Photon Robot

具有光子机器人的对称轴图形

Neuroscientific approaches, by relying on the perceptual systems created through the senses, render the brain’s mechanisms and structures observable. Neuroaesthetics includes various experimental studies involving technical analyses of the cognitive processes of people's aesthetic experiences. Aesthetics can be expressed as the power of influence in people's communication process with their environment. The cognitive foundations of aesthetic experience have profound implications for fields such as psychology, art and design. One dimension of aesthetic experience is the principle of symmetry, which has connections with Gestalt psychology. Visual symmetry becomes one of the research topics in the field of neuroaesthetics. Visual symmetry refers to the condition in which an object is equal or similar along an axis. This feature makes a significant contribution to the process of individuals making sense of and categorizing their environment. Symmetry simplifies information processing and clarifies relationships between objects. Thus, how symmetry is perceived by the human brain is among the research areas of neuroaesthetics. The aim of this study is to discuss the place and effect of visual symmetry in neuroaesthetic studies. In the study, evaluations were made using the literature review method.

Seda H. Bostancı

Visual symmetry in neuroaesthetics

神经美学中的视觉对称性

The phenomenology of self-organization based on the four rules in Conway’s game “Life” and the phenomenology of biological life based on the four nucleotides has several parallels and unresolved issues. A cellular automaton operating on a two-dimensional plane is proposed as a basic object for joint consideration of these phenomena. In one case, its dynamics are set by local/global self-organization rules based on the initial configuration in an automaton of the “Life” type of game. In another case, it is a set of nucleotides in the DNA of a particular organism. The author considers images similar to cellular automata generated by the DNA of real organisms when constructing geometric patterns on a two-dimensional plane by changing the mapping scaling parameter. With increasing scaling parameters, individual clusters emerge for living organisms, which can be located symmetrically.

Ivan V. Stepanyan

Genetic visual technologies and cellular automates

遗传视觉技术与细胞自动机

In this short conversation, Eugen Jost, a well-known Swiss artist whose work is strongly influenced by mathematics, discusses the role of symmetry in his art. The dialogue sheds light on how symmetry naturally emerges in his artistic expressions through an intricate process of balance and harmony. The interview reveals his relationship between mathematics and art, helping us understand the multifaceted nature of their intricate connection with symmetry expressed in the works as in the Egyptian Triangle: a fascinating testament to the profound interplay between the order and rigor of mathematics and the boundless creativity of art, resulting in stunning works that evoke a sense of wonder and awe.

In conversation with Eugen Jost – art, mathematics and symmetry

与欧根·约斯特对话——艺术、数学与对称

Symmetry is one of the most fundamental and ubiquitous phenomena in architecture and theory. In this article, we investigated Hindu architectural treatises of ancient Vedic literature that conceptualised and described symmetry in the theory of medieval India. The case focused on Shruti/Śruti and Smriti texts based on Śāstra pramāṇam tradition and asked how architectural treatises transmitted the narratives on symmetry through cultural dynamics, wisdom and heritage. The paper revealed that architectural texts approached symmetry in architectural culture knowledge.

Hasan Basri Kartal

İbrahim Başak Dağgülü

Müşfika Gül Akdeniz

Asiye Nisa Kartal

Symmetry, architectural culture and theory – the case of Hindu architectural texts ‘shruti/śruti’ and ‘smriti’ in ‘śāstra pramāṇam’ tradition

对称、建筑文化与理论——以“śāstra pramāṇam”传统中的印度建筑文本“shruti/śruti”和“smriti”为例

The article shows that the inversion of a simple smooth curve as the rectangular hyperbola might lead to the broad scale of differently formed curves reminding many natural shapes.

Spíchal Luděk

About the inversion of the rectangular hyperbolas on the supercircles

关于超圆上矩形双曲线的反演

短名
Journal Impact	0.22
国际分区	MATHEMATICS, INTERDISCIPLINARY APPLICATIONS(Q4)

涉及主题	计算机科学数学几何学物理艺术哲学历史对称（几何）地理
出版信息	出版商: Symmetrion，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 2021，原创研究文献占比: 0.00%，自引率:50.00%， Gold OA占比: 0.00%

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