Preference For Symmetry Research Articles

Explicit and Implicit Preference for Symmetry Across Object Categories

Symmetry affects aesthetic judgements, and it has been extensively studied at least for faces and abstract objects. We examined the role of bilateral symmetry on aesthetic judgements across different types of stimuli. It is important to test if symmetry is equally effective in the context of objects expected to be symmetrical, e.g., faces, and objects that are almost never symmetrical, e.g., landscapes. We used the following categories: angular shapes, smooth shapes, landscapes, flowers, female faces, and male faces. We selected these image categories considering their differing degrees of curvature, familiarity to the viewer, and tendency to be perceived as ensembles, as opposed to standalone objects. We also included blobs, manipulating landscapes into blurry tessellated patterns featuring patches of color, to remove familiarity while preserving the appearance of ensembles. For each item in these categories, images were modified to obtain perfect bilateral symmetry. We collected both explicit ratings and implicit measures of symmetry preference. For landscapes, there was a clear preference for the non-symmetrical (original) version. We observed a dissociation between explicit and implicit measures. Implicit measures demonstrated positive associations for all categories.

Symmetry and Meaningfulness in the Spotlight of Expertness

Empirical aesthetics focuses on understanding how perceptual features shape aesthetic preferences, with symmetry being a key aspect. However, recent studies show variation in symmetry preference across samples and stimuli. Our study aims to explore the boundaries of symmetry preference, particularly in relation to meaning, prototypicality and expertise in visual arts. With our stimuli we can test the comparative dominance of these features. In our forced-choice preference task (N = 196), we manipulated images for symmetry, meaning, and prototypicality. Findings reveal that symmetry preference is only remarkable in meaningless images among non-experts. Instead, meaningfulness emerged as a significant factor influencing their aesthetic preferences. Experts show no distinct preference for symmetry or meaningfulness. However, prototypicality is favoured by both groups in meaningful stimuli, regardless of symmetry. These results highlight the dominance of meaning in aesthetic experience and underscore the complex interplay between symmetry, meaning, and expertise in visual arts.

CITY-STATE IN THE TREATISE BY J. V. ANDREAE: A VISION OF HARMONY AND ORDER

The article highlights the features of the architecture and urban planning structure of the utopian city-state described by the German theologian Johannes Valentinus Andrea in the treatise «Description of the Republic of Christianopolis» which was written in 1619. The aim of this article is a detailed analysis and graphic reproduction of the urban planning and architectural features of the utopian city described by J. V. Andreae. One of the tasks is to compare the structure of the city-state he recreated with the layout of the utopian settlements of T. More, T. Campanella and A. F. Doni, as those written in approximately the same period and depicting utopian states located on remote islands. Republic of Christianopolis is built in the shape of a perfect square, symbolizing order and rationality. Each side of the city is of equal length, and all the streets are laid out to form a regular, neat grid. In the center of the city there is a large square with a temple. This temple serves as the spiritual and civic nucleus of the city, underscoring the significance of religion and communal life in a utopian society. The city-state is divided into different zones according to their functional purpose. There are separate plots for residential buildings, administrative buildings, scientific institutes and agricultural areas. Such planning reflects a desire for efficiency and organization. Residential buildings are organized in such a way that each family has adequate housing with sufficient space for comfortable living. Gardens are located around the houses, which helps to create a public space for communication and interaction between residents. Despite the utopian nature of the society, the city has defensive structures such as walls and towers, which indicate a desire to protect the city from external threats. The article depicts a schematic general plan of the city of Christianopolis, conventional plans and sections of buildings. A review of the urban design features in J.V. Andreae's utopia compared to those in the works by T. More, A. F. Doni, and T. Campanella reveals common tendencies typical for that era, such as the ideal city shape, a preference for symmetry and centralized planning. It should be highlighted that in the treatise «Description of the Republic of Christianopolis», there is a more distinct zoning of areas and division of the population. J. V. Andrea created a utopian society where scientific knowledge and Christian faith are harmoniously combined. Christianopolis is depicted as a place where education and spirituality are integrated, reflecting the ideals of its era and the pursuit of knowledge. Keywords: utopia, symmetrical planning, urban structure, city fortifications, residential buildings.

Point mutation in a virus-like capsid drives symmetry reduction to form tetrahedral cages

Protein capsids are a widespread form of compartmentalization in nature. Icosahedral symmetry is ubiquitous in capsids derived from spherical viruses, as this geometry maximizes the internal volume that can be enclosed within. Despite the strong preference for icosahedral symmetry, we show that simple point mutations in a virus-like capsid can drive the assembly of unique symmetry-reduced structures. Starting with the encapsulin from Myxococcus xanthus, a 180-mer bacterial capsid that adopts the well-studied viral HK97 fold, we use mass photometry and native charge detection mass spectrometry to identify a triple histidine point mutant that forms smaller dimorphic assemblies. Using cryoelectron microscopy, we determine the structures of a precedented 60-mer icosahedral assembly and an unexpected 36-mer tetrahedron that features significant geometric rearrangements around a new interaction surface between capsid protomers. We subsequently find that the tetrahedral assembly can be generated by triple-point mutation to various amino acids and that even a single histidine point mutation is sufficient to form tetrahedra. These findings represent a unique example of tetrahedral geometry when surveying all characterized encapsulins, HK97-like capsids, or indeed any virus-derived capsids reported in the Protein Data Bank, revealing the surprising plasticity of capsid self-assembly that can be accessed through minimal changes in the protein sequence.

Preference of C2v Symmetry in Low-Spin Hexacarbonyls of Rare-Earth and f Elements

The structures and bonding of selected neutral M(CO)6 complexes (M = Sc, Y, La, Lu, Ac and U) have been studied by density functional theory calculations. The calculations revealed the preference for C2v symmetry and low-spin electronic state for most of these complexes. The relative stability of the low-symmetry species increases gradually with the size of the metal atom. While the characteristic Oh hexa-coordinated structure is favored in the high-spin electronic state of the smaller metals, for heavier metals, important advantages of the C2v vs. Oh structures include larger charge transfer interactions in terms of transferred electrons as well as better steric conditions. Our joint experimental–theoretical analysis detected and confirmed the Oh structure of the Sc(CO)6 complex in cryogenic CO/Ar matrices.

Putting things right: An experimental investigation of memory biases related to symmetry, ordering and arranging behaviour

Background and objectivesResearch indicates the presence of both explicit and implicit memory biases for threat. However, empirical support for the presence of memory biases related to symmetry, ordering and arranging is lacking, despite the fact that many individuals report anxiety associated with their personal belongings being out of place. The aim of this experiment was to examine memory biases for disorderliness and their associations with symmetry, ordering and arranging symptoms. MethodsEighty undergraduate participants were assigned to one of four conditions, consisting of rooms in which objects were arranged according to different levels of disorderliness (orderly, slightly disorderly, slightly orderly, and disorderly). Participants next completed a memory task in which their memory for disordered vs. ordered objects was assessed. Measures of OCD symptoms, preference for symmetry, OCD belief domains, anxiety and depression were completed. ResultsAnalyses indicated that participants in the slightly disorderly condition showed significantly better recall and recognition for the disordered items than for the ordered items, and that those in the slightly orderly condition showed the same pattern in recall, but not recognition. No associations were found between a preference for symmetry and memory biases. LimitationsThe sample scored particularly low on our measure of symptoms of preference for symmetry, compromising the generalizability of our results. ConclusionsFindings provide evidence for a general memory bias for disorderliness, although this bias does not appear to be associated with symmetry, ordering and arranging symptoms. Results are discussed from a cognitive-behavioural perspective with the consideration of feelings of incompleteness.

Multiple Axes of Visual Symmetry: Detection and Aesthetic Preference

Little is known about the detection of and preference for multiple simultaneous parallel axes of symmetry. Neuroscientists have suggested that the detection of symmetry occurs in extrastriate brain areas with large receptive fields. Such large receptive fields may potentially hinder the simultaneous detection of more than one axis of symmetry. In contrast, psychophysicists have found that symmetry detection occurs within small spatial windows, allowing for the concurrent detection of multiple axes of symmetry. Using psychophysical and computational methods, we aim to test whether multiple axes of symmetry can be detected in parallel and to understand the role of multiple axes of symmetry on aesthetic valence. Experiment 1 provides evidence that multiple axes of symmetry cannot be detected simultaneously. However, with relatively long temporal integration, people can detect them. Experiment 2 suggests that multiple axes of symmetry tend to increase preference. However, the preference for symmetry is not universal because, although most people prefer symmetry, others prefer complex images without axes of symmetry. We present and test a computational model that explains the results of these experiments.

Symmetry as an Inter-Cultural Feature Constituting Beauty: Implicit and Explicit Beauty Evaluation of Visual Symmetry in Japan

Symmetry has been recognized as one of the most important visual features to predict aesthetic preferences and was discussed as a potentially universal feature of beauty judgments. Recent studies have challenged such universality claims, by showing that art experts prefer asymmetric stimuli in explicit evaluations, suggesting that artistic training might modify the preference for symmetry. In the present study, we examine whether cultural habituation might also influence beauty judgments in regard to symmetry in abstract visual patterns. Given the traditional preference for asymmetry in Japanese art and design, we tested if Japanese participants ( N = 31) evaluate symmetric abstract visual patterns as more beautiful than asymmetric ones in explicit and implicit (IAT) tasks. We found that Japanese participants clearly evaluated symmetric stimuli as more beautiful than asymmetric ones. We conclude that cultural habituation with asymmetry—in contrast to artistic training—did not cause higher beauty ratings for asymmetry.

Special Issue: “Symmetry in Cognition and Emotion”

The ten contributions of the current Special Issue on “Symmetry in Cognition and Emotion” represent different and original contributions to this topic. The new evidence spans from addressing whether the attentional blink can be elicited by internal events to the role of the fronto-parietal network. The review contributions address the effect of emotion on pseudoneglect and the role of the temporal parietal junction in processing self-related information, respectively. Four contributions provide new evidence on processing different aspects of faces, such as age, gaze, emotional expression, and their effect on response inhibition. Finally, two contributions provide novel evidence on the asymmetric preferences in decisions and on the relation between preferences for visual symmetry, respectively. Taken together, these contributions provide a new insight into the different forms of “Symmetry in Cognition and Emotion”, and we hope they can help to stimulate new research.

Re-evaluating the relationship between pathogen avoidance and preferences for facial symmetry and sexual dimorphism: A registered report

Over the past decade, a small literature has tested how trait-level pathogen-avoidance motives (e.g., disgust sensitivity) and exposure to pathogen cues relate to preferences for facial symmetry and sexual dimorphism. Results have largely been interpreted as suggesting that the behavioral immune system influences preferences for these features in potential mates. However, findings are limited by small sample sizes among studies reporting supportive evidence, the use of small stimulus sets to assess preferences for symmetry and dimorphism, and design features that render implications for theory ambiguous (namely, largely only investigating women's preferences for male faces). Using a sample of 954 White young adult UK participants and a pool of 100 White young adult stimuli, the current registered report applied a standard two-alternative forced-choice approach to evaluate both men's and women's preferences for both facial symmetry and dimorphism in both same- and opposite-sex targets. Participants were randomly assigned to either a pathogen prime or a control prime, and they completed instruments assessing individual differences in pathogen avoidance (disgust sensitivity and contamination sensitivity). Results revealed overall preferences for both facial symmetry and dimorphism. However, they did not reveal a relation between these preferences and disgust sensitivity or contamination sensitivity, nor did they reveal differences in these preferences across control and pathogen prime conditions. Null results of pathogen-avoidance variables were consistent across participant sex, target sex, and interactions between participant sex and target sex. Overall, findings cast doubt on the hypothesis that pathogen-avoidance motives influence preferences for facial symmetry or dimorphism.

Rectangularity Is Stronger Than Symmetry in Interpreting 2D Pictures as 3D Objects.

It is known that the human brain has a strong preference for rectangularity in interpreting pictures as 3D shapes. Symmetry is also considered to be a factor that the human vision system places high priority on when perceiving 3D objects. Thus, a question is raised: which is more basic, the rectangularity preference or the symmetry preference? To answer this question, we carried out experiments using pictures that have at least two interpretations as 3D objects, one of which was rectangular but not symmetric, and the other of which was symmetric but not rectangular. We found that the preference for rectangularity is stronger than that for symmetry. This observation will help us to understand various 3D optical illusions, including the room-size illusion and the ambiguous object illusion.

Drosophila females have an acoustic preference for symmetric males

SignificanceTheoretically, symmetry in bilateral animals is subject to sexual selection, since it can serve as a proxy for genetic quality of competing mates during mate choice. Here, we report female preference for symmetric males in Drosophila, using a mate-choice paradigm where males with environmentally or genetically induced wing asymmetry were competed. Analysis of courtship songs revealed that males with asymmetric wings produced songs with asymmetric features that served as acoustic cues, facilitating this female preference. Females experimentally evolved in the absence of mate choice lost this preference for symmetry, suggesting that it is maintained by sexual selection.

The effect of art expertise on visual symmetry and asymmetry preference

The main differences between artists and non-artists can be discovered in information processing, drawing performance and aesthetical preferences. Aesthetical preference is influenced by stimulus complexity and by the symmetry-asymmetry dimension of the presented stimulus. Although the differences between artists and non-artists are clear regarding aesthetical evaluation, there are evidence supporting the assumption that symmetry is preferred over asymmetry regardless of domain specific knowledge. In the current study we investigated the role of expertise in visual art on aesthetical evaluation of symmetrical and asymmetrical, simple, and complex geometrical forms, using visual stimuli based on Jacobsen and Höfel (2001). Participants from art high- school and university have been gathered (N = 56) and were distributed into three separate groups by their visual art and art history experience (experts, novice, and medium experience). Our main result shows a significant effect of experience in visual art on aesthetical preference, participants in the expert group preferred complex asymmetrical stimuli more compared to participants in art novice group. Asymmetrical simple and complex forms were aesthetically preferred more by expert group than the two other groups. We also found that symmetrical forms are preferred over asymmetrical ones regardless of level of expertise in art, however preference of art experts tends to be more unified over stimulus complexity. Our results are in line with results from previous studies regarding symmetry- asymmetry preference. We can conclude that beside the general preference for symmetrical forms, experience in art alters asymmetry preference and it regulates the preference over simple- complex symmetrical and asymmetrical stimuli.

Perspective Slant Makes Symmetry Harder to Detect and Less Aesthetically Appealing

Abstract symmetric patterns are generally preferred to less regular patterns. Here, we studied 2D patterns presented as 2D images in the plane, and therefore producing a symmetric pattern on the retina, and the same patterns seen in perspective. This perspective transformation eliminates the presence of perfect symmetry in terms of retinotopic coordinates. Stimuli were abstract patterns of local coplanar elements, or irregular polygons. In both cases they can be understood as 2D patterns on a transparent glass pane. In the first study we found that perspective increased reaction time and errors in a classification task, even when the viewing angle was kept constant over many images. In a second study we tested a large sample (148 participants) and asked for a rating of beauty for the same images. In addition, we used the Cognitive Reflection Test (CRT) to test the hypothesis that people who tend to give the more immediate and intuitive answer would also show a stronger preference for the symmetry presented in the frontoparallel plane (in the image and on the retina). Preference for symmetry was confirmed, and there was a cost for perspective viewing. CRT scores were not related to preference, thus not supporting the hypothesis of a stronger preference for symmetry in the image when people follow a more immediate and intuitive gut response.

Theoretical predictions of phase stability for orthorhombic and hexagonal ternary MAB phases.

In the quest for finding novel thermodynamically stable, layered, MAB phases promising for synthesis, we herein explore the phase stability of ternary MAB phases by considering both orthorhombic and hexagonal crystal symmetries for various compositions (MAB, M2AB2, M3AB4, M4AB4, and M4AB6 where M = Sc, Y, Ti, Zr, Hf, V, Nb, Ta, Cr, Mo, W, Mn, Fe, and Co, A = Al, Ga, and In, and B is boron). The thermodynamic stability of seven previously synthesized MAB phases is confirmed, three additional phases are predicted to be stable, and 23 phases are found to be close to stable. Furthermore, the crystal symmetry preference for forming orthorhombic or hexagonal crystal structures is investigated where the considered Al-based MAB phases tend to favour orthorhombic structures whereas Ga- and In-based phases in general prefer hexagonal structures. The theoretically predicted stable MAB phases along with the structural preference is intended to both guide experimental efforts and to give an insight into the stability for different crystal symmetries of MAB phases.

The Role of Stimuli Complexity and Handedness on Visual Symmetry and Asymmetry Preference

Previous research results indicate visual information processing asymmetry in case of visual verbal stimuli. However, other studies that investigate nonverbal stimuli processing show inconsistent effect of laterality. Although differences between left- and right-handers can be found in tasks that involve letters, spatial attention stimuli and visuomotor control performance, the differences between the two groups almost disappear in several directional preference tasks, suggesting that direction preference is influenced mainly by writing and reading habits. Perceiving visual art involves visual attention, that is driven by the bottom-up aspects of the visual stimuli, therefore perception of nonverbal images, that contain geometrical forms might be influenced by handedness. To assess the possible differences in visual symmetry- asymmetry preference, university students (N = 65) were divided into two groups based on handedness, and as a measurement we used simple- complex- symmetrical and asymmetrical geometrical forms. Our main result shows a significant effect of stimuli complexity on symmetry-asymmetry preference. The interaction effect between handedness and symmetry-asymmetry type was not significant. After conducting a pairwise comparison our results show that right-handers evaluate simple and complex symmetrical forms as more preferable than simple and complex asymmetrical forms. We also found that there is a preference for symmetry over asymmetry in both groups, however these differences are significant only in the right-handed group. We conclude that preference for symmetrical geometrical forms is not influenced by handedness, however preference for complexity is affected by right-handedness. To extend these results, further investigations are needed.

Eastern LBK pottery: some observations on forming techniques and symmetrical structure of ornaments (Floreşti and Niezwiska)

There are two collections that are stored in Saint Petersburg originating from the first LBK sites (Floreşti I andNiezwiska) investigated in the USSR during the 1950-60s by Tatiana Passek and Katerina Chernysh. Despite the incompleteness of this material, it allows us to make several observations regarding technical aspects of pottery production and its ornamentation. The production of LBK vessels is based on a coiling with subsequent forming by the “paddle-and-anvil” technique. Principal distinctions between production techniques make it possible to exclude the idea of links between the LBK and the subsequent Precucuteni-Tripolye A culture. The specifics of the forms and techniques of LBK ornamentation allows to propose that such ornamentation originates from non-ceramic prototypes. Additionally, the symmetrical analysis of Eastern LBK ornamentation indicates differences in symmetry preferences between the LBK and Cucuteni-Tripolye populations. According to the hypothesis of D. K. Washburn (2018), such a difference may indicate distinctions in the social structures of these cultures.

Preference for Facial Symmetry Depends on Study Design

Facial symmetry is purportedly attractive, though methods for measuring preference for facial symmetry vary between studies. Some studies have used a two-alternative forced choice (2AFC) task, while others have used a ratings task. How researchers manipulate facial symmetry also varies; some studies have used faces manipulated to be more (or perfectly) symmetrical, while others have used faces manipulated to be more asymmetrical. Here, across three studies, we evaluate and compare these different methods. In Studies 1 and 2 (N = 340 and 256, respectively), we compare facial symmetry preferences as measured by the 2AFC and ratings tasks. Across both studies, we consistently found a significant preference for facial symmetry when using the 2AFC task, but not with the ratings task. Additionally, correlations between facial symmetry preferences as measured by the two tasks were weak or showed no association. In Study 3, 159 participants rated the attractiveness of faces manipulated to be either symmetrical or more asymmetrical. The asymmetrical faces were rated as significantly less attractive compared to the original faces, while the difference in attractiveness ratings between the original and symmetrical versions was comparatively much smaller. These studies suggest that preference for facial symmetry depends greatly on the study design.

Properties and interactions – melting point of tribromobenzene isomers

Single crystals of isomeric 1,2,3-tribromobenzene (123TBB), 1,2,4-tribromobenzene (124TBB) and 1,3,5-tribromobenzene (135TBB) have been grown from different solvents and their structures determined by X-ray diffraction at 100, 200 and 270 K. The melting-point differences of ca 40 K between 135TBB, 123TBB and 124TBB have been correlated with the molecular symmetry and packing preferences in the crystal, as well as with the main types of intermolecular halogen interactions, i.e. Br...Br, Br...C (Br...π) and Br...H. The relationship between symmetry and melting point in Carnelley's rule has been extended to the accessibility of terminal atoms for the formation of intermolecular interactions, their occurrences and distribution, and the close packing. The electrostatic potential mapped on molecular surfaces demonstrates that in more symmetric molecules the more evenly distributed substituents are more accessible and form more optimum intermolecular interactions.

When symmetric and curved visual contour meet intentional instructions: Hedonic value and preference.

Symmetry and contour take part in shaping visual preference. However, less is known about their combined contribution to preference. We examined the hedonic tone and preference triggered by the interaction of symmetry and contour. Symmetric/curved, symmetric/sharp-angled, asymmetric/curved, and asymmetric/sharp-angled stimuli were presented in an implicit and explicit task. The implicit task consisted of an affective stimulus-response compatibility task where participants matched the stimuli with positive and negative valence response cues. The explicit task recorded liking ratings from the same stimuli. We used instructed mindset to induce participants to focus on symmetry or contour in different parts of the experimental session. We found an implicit compatibility of symmetry and curvature with positive hedonic tone. Explicit results showed preference for symmetry and curvature. In both tasks, symmetry and curvature showed a cumulative interaction, with a larger contribution of symmetry to the overall effect. While symmetric and asymmetric stimuli contributed to the implicit positive valence of symmetry, the effect of curvature was mainly caused by inclination towards curved contours rather than rejection of sharp-angled contours. We did not find any correlation between implicit and explicit measures, suggesting that they may involve different cognitive processing.