{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T05:15:50Z","timestamp":1777353350008,"version":"3.51.4"},"reference-count":65,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,2,26]],"date-time":"2022-02-26T00:00:00Z","timestamp":1645833600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000269","name":"Economic and Social Research Council","doi-asserted-by":"publisher","award":["ES\/ S014691\/1"],"award-info":[{"award-number":["ES\/ S014691\/1"]}],"id":[{"id":"10.13039\/501100000269","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym14030475","type":"journal-article","created":{"date-parts":[[2022,2,27]],"date-time":"2022-02-27T20:49:03Z","timestamp":1645994943000},"page":"475","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Perspective Slant Makes Symmetry Harder to Detect and Less Aesthetically Appealing"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8617-6864","authenticated-orcid":false,"given":"Marco","family":"Bertamini","sequence":"first","affiliation":[{"name":"Department of General Psychology, University of Padova, 35131 Padova, Italy"},{"name":"Department of Psychology, University of Liverpool, Liverpool L69 7ZA, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"John","family":"Tyson-Carr","sequence":"additional","affiliation":[{"name":"Department of Psychology, University of Liverpool, Liverpool L69 7ZA, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexis D. J.","family":"Makin","sequence":"additional","affiliation":[{"name":"Department of Psychology, University of Liverpool, Liverpool L69 7ZA, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1068\/i0578","article-title":"Attractiveness is Influenced by the Relationship between Postures of the Viewer and the Viewed Person","volume":"4","author":"Bertamini","year":"2013","journal-title":"i-Perception"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"169","DOI":"10.3758\/BF03331603","article-title":"Complexity-simplicity: I. Preference for symmetry and rejection of complexity","volume":"8","author":"Eisenman","year":"1967","journal-title":"Psychon. Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"30","DOI":"10.2466\/pms.2003.96.1.30","article-title":"Temporal Stability and Consistency of Aesthetic Judgments of Beauty of Formal Graphic Patterns","volume":"96","author":"Jacobsen","year":"2003","journal-title":"Percept. Mot. Ski."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"659","DOI":"10.3758\/BF03208842","article-title":"Facial symmetry and the perception of beauty","volume":"5","author":"Rhodes","year":"1998","journal-title":"Psychon. Bull. Rev."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1163\/156856895X00151","article-title":"Level of processing in the perception of symmetrical forms viewed from different angles","volume":"9","author":"Szlyk","year":"1995","journal-title":"Spat. Vis."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1111\/j.2044-8295.1931.tb00597.x","article-title":"PHENOMENAL REGRESSION TO THE REAL OBJECT. I","volume":"21","author":"Thouless","year":"1931","journal-title":"Br. J. Psychol. Gen. Sect."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1037\/0096-1523.33.5.1027","article-title":"Overestimation of the projected size of objects on the surface of mirrors and windows","volume":"33","author":"Lawson","year":"2007","journal-title":"J. Exp. Psychol. Hum. Percept. Perform."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.concog.2004.08.008","article-title":"Neural Darwinism and consciousness","volume":"14","author":"Seth","year":"2005","journal-title":"Conscious. Cogn."},{"key":"ref_9","unstructured":"Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information, W. H. Freeman."},{"key":"ref_10","unstructured":"Ullman, S. (2000). High-Level Vision: Object Recognition and Visual Cognition, MIT Press."},{"key":"ref_11","unstructured":"Hoffman, D.D. (2000). Visual Intelligence: How We Create What We See, WW Norton & Company."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1423","DOI":"10.1093\/cercor\/bhl054","article-title":"Face Configuration Processing in the Human Brain: The Role of Symmetry","volume":"17","author":"Chen","year":"2006","journal-title":"Cereb. Cortex"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/acp.2350010108","article-title":"Face Recognition, Pose and Ecological Validity","volume":"1","author":"Logie","year":"1987","journal-title":"Appl. Cogn. Psychol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"413","DOI":"10.3758\/BF03205058","article-title":"Detection of Symmetry in Tachistoscopically Presented Dot Patterns: Effects of Multiple Exes and Skewing","volume":"50","author":"Wagemans","year":"1991","journal-title":"Percept. Psychophys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1167\/8.5.14","article-title":"Detection of skewed symmetry","volume":"8","author":"Sawada","year":"2008","journal-title":"J. Vis."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1037\/0096-1523.19.2.364","article-title":"Skewed Symmetry: A Nonaccidental Property Used to Perceive Visual Forms","volume":"19","author":"Wagemans","year":"1993","journal-title":"J. Exp. Psychol. Hum. Percept. Perform."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1111\/j.1467-9280.1990.tb00209.x","article-title":"When Does Human Object Recognition Use a Viewer-Centered Reference Frame?","volume":"1","author":"Tarr","year":"1990","journal-title":"Psychol. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1007\/s00426-004-0191-8","article-title":"No symmetry advantage when object matching involves accidental viewpoints","volume":"70","author":"Koning","year":"2006","journal-title":"Psychol. Res."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"979","DOI":"10.1016\/j.visres.2008.05.013","article-title":"A computational model that recovers the 3D shape of an object from a single 2D retinal representation","volume":"49","author":"Li","year":"2009","journal-title":"Vis. Res."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.actpsy.2005.03.006","article-title":"Symmetry and Repetition in Perspective","volume":"120","author":"Csatho","year":"2005","journal-title":"Acta Psychol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1016\/0042-6989(79)90154-8","article-title":"The versatility and absolute efficiency of detecting mirror symmetry in random dot displays","volume":"19","author":"Barlow","year":"1979","journal-title":"Vis. Res."},{"key":"ref_22","unstructured":"Julesz, B. (1971). Foundations of Cyclopean Perception, University of Chicago Press."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1267","DOI":"10.2466\/pms.1977.45.3f.1267","article-title":"Global Detection of Symmetry","volume":"45","author":"Carmody","year":"1977","journal-title":"Percept. Mot. Ski."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1111\/nyas.13667","article-title":"The neural basis of visual symmetry and its role in mid- and high-level visual processing","volume":"1426","author":"Bertamini","year":"2018","journal-title":"Ann. New York Acad. Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"3159","DOI":"10.1073\/pnas.0500319102","article-title":"Symmetry Activates Extrastriate Visual Cortex in Human and Nonhuman Primates","volume":"102","author":"Sasaki","year":"2005","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1016\/j.neuroimage.2004.09.018","article-title":"Predominantly extra-retinotopic cortical response to pattern symmetry","volume":"24","author":"Tyler","year":"2005","journal-title":"NeuroImage"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1523\/JNEUROSCI.2962-15.2016","article-title":"Representation of Maximally Regular Textures in Human Visual Cortex","volume":"36","author":"Kohler","year":"2016","journal-title":"J. Neurosci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.neuroimage.2019.02.030","article-title":"The representation of symmetry in multi-voxel response patterns and functional connectivity throughout the ventral visual stream","volume":"191","author":"Baeck","year":"2019","journal-title":"NeuroImage"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"289","DOI":"10.3758\/CABN.3.4.289","article-title":"Descriptive and evaluative judgment processes: Behavioral and electrophysiological indices of processing symmetry and aesthetics","volume":"3","author":"Jacobsen","year":"2003","journal-title":"Cogn. Affect. Behav. Neurosci."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.ijpsycho.2007.02.007","article-title":"Electrophysiological Indices of Processing Aesthetics: Spontaneous or Intentional Processes?","volume":"65","author":"Jacobsen","year":"2007","journal-title":"Int. J. Psychophysiol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"3250","DOI":"10.1016\/j.neuropsychologia.2012.10.003","article-title":"Symmetry perception and affective responses: A combined EEG\/EMG study","volume":"50","author":"Makin","year":"2012","journal-title":"Neuropsychologia"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"4416","DOI":"10.1093\/cercor\/bhw255","article-title":"An Electrophysiological Index of Perceptual Goodness","volume":"26","author":"Makin","year":"2016","journal-title":"Cereb. Cortex"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1162\/jocn_a_01485","article-title":"The Formation of Symmetrical Gestalts Is Task-Independent, but Can Be Enhanced by Active Regularity Discrimination","volume":"32","author":"Makin","year":"2020","journal-title":"J. Cogn. Neurosci."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1111\/psyp.12365","article-title":"Conditions for view invariance in the neural response to visual symmetry","volume":"52","author":"Makin","year":"2015","journal-title":"Psychophysiology"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"3813","DOI":"10.1002\/hbm.24211","article-title":"Emergence of symmetry selectivity in the visual areas of the human brain: fMRI responses to symmetry presented in both frontoparallel and slanted planes","volume":"39","author":"Keefe","year":"2018","journal-title":"Hum. Brain Mapp."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.neuroimage.2019.03.007","article-title":"Representation of symmetry in the extrastriate visual cortex from temporal integration of parts: An EEG\/ERP study","volume":"193","author":"Rampone","year":"2019","journal-title":"NeuroImage"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.visres.2021.06.009","article-title":"Spinning objects and partial occlusion: Smart neural responses to symmetry","volume":"188","author":"Rampone","year":"2021","journal-title":"Vis. Res."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Reber, R. (2012). Processing Fluency, Aesthetic Pleasure, and Culturally Shared Taste. Aesthetic Science: Connecting Mind, Brain, and Experience, Oxford University Press.","DOI":"10.1093\/acprof:oso\/9780199732142.003.0055"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1037\/a0026924","article-title":"Implicit affective evaluation of visual symmetry","volume":"12","author":"Makin","year":"2012","journal-title":"Emotion"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1080\/17470218.2017.1350870","article-title":"Visual cortex activation predicts visual preference: Evidence from Britain and Egypt","volume":"71","author":"Makin","year":"2018","journal-title":"Q. J. Exp. Psychol."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1068\/i0466aap","article-title":"Putting Reward in Art: A Tentative Prediction Error Account of Visual Art","volume":"2","author":"Wagemans","year":"2011","journal-title":"i-Perception"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.actpsy.2013.05.001","article-title":"The Aesthetic Aha: On the pleasure of having insights into Gestalt","volume":"144","author":"Muth","year":"2013","journal-title":"Acta Psychol."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1080\/00207450600581928","article-title":"Attractiveness of Natural Faces Compared to Computer Constructed Perfectly Symmetrical Faces","volume":"117","author":"Zaidel","year":"2007","journal-title":"Int. J. Neurosci."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1177\/0276237418777941","article-title":"Symmetry Is Not a Universal Law of Beauty","volume":"37","author":"Leder","year":"2019","journal-title":"Empir. Stud. Arts"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"e7078","DOI":"10.7717\/peerj.7078","article-title":"Symmetry preference in shapes, faces, flowers and landscapes","volume":"7","author":"Bertamini","year":"2019","journal-title":"PeerJ"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1177\/1088868315574978","article-title":"A Dual-Process Perspective on Fluency-Based Aesthetics: The Pleasure-Interest Model of Aesthetic Liking","volume":"19","author":"Graf","year":"2015","journal-title":"Pers. Soc. Psychol. Rev."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1257\/089533005775196732","article-title":"Cognitive Reflection and Decision Making","volume":"19","author":"Frederick","year":"2005","journal-title":"J. Econ. Perspect."},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Evans, J., and Frankish, K. (2009). Two Minds: Dual Processes and Beyond, Oxford University Press.","DOI":"10.1093\/acprof:oso\/9780199230167.001.0001"},{"key":"ref_49","unstructured":"Welsh, M., Burns, N., and Delfabbro, P. (August, January 31). The Cognitive Reflection Test: How Much More than Numerical Ability?. Proceedings of the Annual Meeting of the Cognitive Science Society, Berlin, Germany. Available online: https:\/\/escholarship.org\/uc\/item\/68n012fh."},{"key":"ref_50","first-page":"81","article-title":"Representativeness Revisited: Attribute Substitution in Intuitive Judgment","volume":"49","author":"Kahneman","year":"2002","journal-title":"Heuristics Biases Psychol. Intuitive Judgm."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1017\/S0140525X03240115","article-title":"The rationality debate as a progressive research program","volume":"26","author":"Stanovich","year":"2003","journal-title":"Behav. Brain Sci."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"632","DOI":"10.3758\/MC.37.5.632","article-title":"An encounter frequency account of how experience affects likelihood estimation","volume":"37","author":"Obrecht","year":"2009","journal-title":"Mem. Cogn."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1017\/S1930297500001066","article-title":"Correlations of Cognitive Reflection with Judgments and Choices","volume":"5","author":"Campitelli","year":"2010","journal-title":"Judgm. Decis. Mak."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.jneumeth.2006.11.017","article-title":"PsychoPy\u2014Psychophysics Software in Python","volume":"162","author":"Peirce","year":"2007","journal-title":"J. Neurosci. Methods"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"43","DOI":"10.3758\/BF03330392","article-title":"The influence of stimulus dimensionality and viewing orientation on detection of symmetry in dot patterns","volume":"30","author":"Locher","year":"1992","journal-title":"Bull. Psychon. Soc."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"61","DOI":"10.20982\/tqmp.04.2.p061","article-title":"Confidence Intervals from Normalized Data: A correction to Cousineau (2005)","volume":"4","author":"Morey","year":"2008","journal-title":"Tutorials Quant. Methods Psychol."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/bs.pbr.2018.03.002","article-title":"Cross-Cultural Empirical Aesthetics","volume":"Volume 237","author":"Che","year":"2018","journal-title":"Progress in Brain Research"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1017\/S1062798705000736","article-title":"Symmetry and asymmetry in aesthetics and the arts","volume":"13","author":"McManus","year":"2005","journal-title":"Eur. Rev."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1068\/i0588sas","article-title":"The Small Step toward Asymmetry: Aesthetic Judgment of Broken Symmetries","volume":"4","author":"Gartus","year":"2013","journal-title":"i-Perception"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"2288","DOI":"10.1073\/pnas.92.6.2288","article-title":"Bumblebee Preference for Symmetrical Flowers","volume":"92","year":"1995","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1017\/S1464793102006085","article-title":"Darwinian aesthetics: Sexual selection and the biology of beauty","volume":"78","author":"Grammer","year":"2003","journal-title":"Biol. Rev."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"1383","DOI":"10.1098\/rstb.1999.0486","article-title":"Visual signalling by asymmetry: A review of perceptual processes","volume":"354","author":"Swaddle","year":"1999","journal-title":"Philos. Trans. R. Soc. B Biol. Sci."},{"key":"ref_63","first-page":"15","article-title":"The Science of Art: A Neurological Theory of Aesthetic Experience","volume":"6","author":"Ramachandran","year":"1999","journal-title":"J. Conscious. Stud."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1038\/372169a0","article-title":"Symmetry, Beauty and Evolution","volume":"372","author":"Enquist","year":"1994","journal-title":"Nature"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1098\/rspb.1997.0186","article-title":"Generalization and the Evolution of Symmetry Preferences","volume":"264","author":"Enquist","year":"1997","journal-title":"Proc. R. Soc. Lond. B Biol. Sci."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/3\/475\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:28:00Z","timestamp":1760135280000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/3\/475"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,2,26]]},"references-count":65,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,3]]}},"alternative-id":["sym14030475"],"URL":"https:\/\/doi.org\/10.3390\/sym14030475","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,2,26]]}}}