Symmetry (English Wikipedia)

Montévil, Maël; Mossio, Matteo; Pocheville, Arnaud; Longo, Giuseppe (2016). "Theoretical principles for biology: Variation". Progress in Biophysics and Molecular Biology. From the Century of the Genome to the Century of the Organism: New Theoretical Approaches. 122 (1): 36–50. doi:10.1016/j.pbiomolbio.2016.08.005. PMID 27530930. S2CID 3671068.

accessscience.com

Valentine, James W. "Bilateria". AccessScience. Archived from the original on 18 January 2008. Retrieved 29 May 2013.

ams.org

mathscinet.ams.org

Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat..40..149W, doi:10.2307/1968551, JSTOR 1968551, MR 1503456, S2CID 121773411

arachnoid.com

Lutus, P. (2008). "The Symmetry Principle". Retrieved 28 September 2015.

archive.org

Singer, David A. (1998). Geometry: Plane and Fancy. Springer Science & Business Media.
Perle, George (1990). The Listening Composer. University of California Press. p. 21. ISBN 978-0-520-06991-6.
Arnheim, Rudolf (1969). Visual Thinking. University of California Press.

archives-ouvertes.fr

hal.archives-ouvertes.fr

Bouissou, C.; Petitjean, M. (2018). "Asymmetric Exchanges". Journal of Interdisciplinary Methodologies and Issues in Science. 4: 1–18. doi:10.18713/JIMIS-230718-4-1. (see appendix 1)

arquivo.pt

Hickman, Cleveland P.; Roberts, Larry S.; Larson, Allan (2002). "Animal Diversity (Third Edition)" (PDF). Chapter 8: Acoelomate Bilateral Animals. McGraw-Hill. p. 139. Archived from the original (PDF) on May 17, 2016. Retrieved October 25, 2012.

biocongroup.eu

Hickman, Cleveland P.; Roberts, Larry S.; Larson, Allan (2002). "Animal Diversity (Third Edition)" (PDF). Chapter 8: Acoelomate Bilateral Animals. McGraw-Hill. p. 139. Archived from the original (PDF) on May 17, 2016. Retrieved October 25, 2012.

books.google.com

Derry, Gregory N. (2002). What Science Is and How It Works. Princeton University Press. pp. 269–. ISBN 978-1-4008-2311-6.

chinavoc.com

The Art of Chinese Bronzes Archived 2003-12-11 at the Wayback Machine. Chinavoc (2007-11-19). Retrieved on 2013-04-16.

designmantic.com

"How to Design a Perfect Logo with Grid and Symmetry".

doi.org

Petitjean, M. (2003). "Chirality and Symmetry Measures: A Transdisciplinary Review". Entropy. 5 (3): 271–312 (see section 2.9). Bibcode:2003Entrp...5..271P. doi:10.3390/e5030271.
Anderson, P.W. (1972). "More is Different" (PDF). Science. 177 (4047): 393–396. Bibcode:1972Sci...177..393A. doi:10.1126/science.177.4047.393. PMID 17796623. S2CID 34548824.
Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat..40..149W, doi:10.2307/1968551, JSTOR 1968551, MR 1503456, S2CID 121773411
Montévil, Maël; Mossio, Matteo; Pocheville, Arnaud; Longo, Giuseppe (2016). "Theoretical principles for biology: Variation". Progress in Biophysics and Molecular Biology. From the Century of the Genome to the Century of the Organism: New Theoretical Approaches. 122 (1): 36–50. doi:10.1016/j.pbiomolbio.2016.08.005. PMID 27530930. S2CID 3671068.
Wagemans, J. (1997). "Characteristics and models of human symmetry detection". Trends in Cognitive Sciences. 1 (9): 346–352. doi:10.1016/S1364-6613(97)01105-4. PMID 21223945. S2CID 2143353.
Bertamini, M. (2010). "Sensitivity to reflection and translation is modulated by objectness". Perception. 39 (1): 27–40. doi:10.1068/p6393. PMID 20301844. S2CID 22451173.
Barlow, H.B.; Reeves, B.C. (1979). "The versatility and absolute efficiency of detecting mirror symmetry in random dot displays". Vision Research. 19 (7): 783–793. doi:10.1016/0042-6989(79)90154-8. PMID 483597. S2CID 41530752.
Sasaki, Y.; Vanduffel, W.; Knutsen, T.; Tyler, C.W.; Tootell, R. (2005). "Symmetry activates extrastriate visual cortex in human and nonhuman primates". Proceedings of the National Academy of Sciences of the USA. 102 (8): 3159–3163. Bibcode:2005PNAS..102.3159S. doi:10.1073/pnas.0500319102. PMC 549500. PMID 15710884.
Makin, A.D.J.; Rampone, G.; Pecchinenda, A.; Bertamini, M. (2013). "Electrophysiological responses to visuospatial regularity". Psychophysiology. 50 (10): 1045–1055. doi:10.1111/psyp.12082. PMID 23941638.
Bertamini, M.; Silvanto, J.; Norcia, A.M.; Makin, A.D.J.; Wagemans, J. (2018). "The neural basis of visual symmetry and its role in middle and high-level visual processing". Annals of the New York Academy of Sciences. 132 (1): 280–293. Bibcode:2018NYASA1426..111B. doi:10.1111/nyas.13667. hdl:11577/3289328. PMID 29604083.
Bouissou, C.; Petitjean, M. (2018). "Asymmetric Exchanges". Journal of Interdisciplinary Methodologies and Issues in Science. 4: 1–18. doi:10.18713/JIMIS-230718-4-1. (see appendix 1)
Perle, George (1992). "Symmetry, the twelve-tone scale, and tonality". Contemporary Music Review. 6 (2): 81–96. doi:10.1080/07494469200640151.
Grammer, K.; Thornhill, R. (1994). "Human (Homo sapiens) facial attractiveness and sexual selection: the role of symmetry and averageness". Journal of Comparative Psychology. 108 (3). Washington, D.C.: 233–42. doi:10.1037/0735-7036.108.3.233. PMID 7924253. S2CID 1205083.

emotionalcompetency.com

Emotional Competency: Symmetry

etymonline.com

Harper, Douglas. "symmetry". Online Etymology Dictionary.

guilford.k12.nc.us

its.guilford.k12.nc.us

Quate: Exploring Geometry Through Quilts Archived 2003-12-31 at the Wayback Machine. Its.guilford.k12.nc.us. Retrieved on 2013-04-16.

handle.net

hdl.handle.net

Bertamini, M.; Silvanto, J.; Norcia, A.M.; Makin, A.D.J.; Wagemans, J. (2018). "The neural basis of visual symmetry and its role in middle and high-level visual processing". Annals of the New York Academy of Sciences. 132 (1): 280–293. Bibcode:2018NYASA1426..111B. doi:10.1111/nyas.13667. hdl:11577/3289328. PMID 29604083.

harvard.edu

ui.adsabs.harvard.edu

Petitjean, M. (2003). "Chirality and Symmetry Measures: A Transdisciplinary Review". Entropy. 5 (3): 271–312 (see section 2.9). Bibcode:2003Entrp...5..271P. doi:10.3390/e5030271.
Anderson, P.W. (1972). "More is Different" (PDF). Science. 177 (4047): 393–396. Bibcode:1972Sci...177..393A. doi:10.1126/science.177.4047.393. PMID 17796623. S2CID 34548824.
Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat..40..149W, doi:10.2307/1968551, JSTOR 1968551, MR 1503456, S2CID 121773411
Sasaki, Y.; Vanduffel, W.; Knutsen, T.; Tyler, C.W.; Tootell, R. (2005). "Symmetry activates extrastriate visual cortex in human and nonhuman primates". Proceedings of the National Academy of Sciences of the USA. 102 (8): 3159–3163. Bibcode:2005PNAS..102.3159S. doi:10.1073/pnas.0500319102. PMC 549500. PMID 15710884.
Bertamini, M.; Silvanto, J.; Norcia, A.M.; Makin, A.D.J.; Wagemans, J. (2018). "The neural basis of visual symmetry and its role in middle and high-level visual processing". Annals of the New York Academy of Sciences. 132 (1): 280–293. Bibcode:2018NYASA1426..111B. doi:10.1111/nyas.13667. hdl:11577/3289328. PMID 29604083.

jstor.org

Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat..40..149W, doi:10.2307/1968551, JSTOR 1968551, MR 1503456, S2CID 121773411

kuleuven.be

lirias.kuleuven.be

Wagemans, J. (1997). "Characteristics and models of human symmetry detection". Trends in Cognitive Sciences. 1 (9): 346–352. doi:10.1016/S1364-6613(97)01105-4. PMID 21223945. S2CID 2143353.

nau.edu

jan.ucc.nau.edu

see ("Fugue No. 21," pdf Archived 2005-09-13 at the Wayback Machine or Shockwave Archived 2005-10-26 at the Wayback Machine)

navajocentral.org

Dilucchio: Navajo Rugs. Navajocentral.org (2003-10-26). Retrieved on 2013-04-16.

nih.gov

pubmed.ncbi.nlm.nih.gov

Anderson, P.W. (1972). "More is Different" (PDF). Science. 177 (4047): 393–396. Bibcode:1972Sci...177..393A. doi:10.1126/science.177.4047.393. PMID 17796623. S2CID 34548824.
Montévil, Maël; Mossio, Matteo; Pocheville, Arnaud; Longo, Giuseppe (2016). "Theoretical principles for biology: Variation". Progress in Biophysics and Molecular Biology. From the Century of the Genome to the Century of the Organism: New Theoretical Approaches. 122 (1): 36–50. doi:10.1016/j.pbiomolbio.2016.08.005. PMID 27530930. S2CID 3671068.
Wagemans, J. (1997). "Characteristics and models of human symmetry detection". Trends in Cognitive Sciences. 1 (9): 346–352. doi:10.1016/S1364-6613(97)01105-4. PMID 21223945. S2CID 2143353.
Bertamini, M. (2010). "Sensitivity to reflection and translation is modulated by objectness". Perception. 39 (1): 27–40. doi:10.1068/p6393. PMID 20301844. S2CID 22451173.
Barlow, H.B.; Reeves, B.C. (1979). "The versatility and absolute efficiency of detecting mirror symmetry in random dot displays". Vision Research. 19 (7): 783–793. doi:10.1016/0042-6989(79)90154-8. PMID 483597. S2CID 41530752.
Sasaki, Y.; Vanduffel, W.; Knutsen, T.; Tyler, C.W.; Tootell, R. (2005). "Symmetry activates extrastriate visual cortex in human and nonhuman primates". Proceedings of the National Academy of Sciences of the USA. 102 (8): 3159–3163. Bibcode:2005PNAS..102.3159S. doi:10.1073/pnas.0500319102. PMC 549500. PMID 15710884.
Makin, A.D.J.; Rampone, G.; Pecchinenda, A.; Bertamini, M. (2013). "Electrophysiological responses to visuospatial regularity". Psychophysiology. 50 (10): 1045–1055. doi:10.1111/psyp.12082. PMID 23941638.
Bertamini, M.; Silvanto, J.; Norcia, A.M.; Makin, A.D.J.; Wagemans, J. (2018). "The neural basis of visual symmetry and its role in middle and high-level visual processing". Annals of the New York Academy of Sciences. 132 (1): 280–293. Bibcode:2018NYASA1426..111B. doi:10.1111/nyas.13667. hdl:11577/3289328. PMID 29604083.
Grammer, K.; Thornhill, R. (1994). "Human (Homo sapiens) facial attractiveness and sexual selection: the role of symmetry and averageness". Journal of Comparative Psychology. 108 (3). Washington, D.C.: 233–42. doi:10.1037/0735-7036.108.3.233. PMID 7924253. S2CID 1205083.

ncbi.nlm.nih.gov

Sasaki, Y.; Vanduffel, W.; Knutsen, T.; Tyler, C.W.; Tootell, R. (2005). "Symmetry activates extrastriate visual cortex in human and nonhuman primates". Proceedings of the National Academy of Sciences of the USA. 102 (8): 3159–3163. Bibcode:2005PNAS..102.3159S. doi:10.1073/pnas.0500319102. PMC 549500. PMID 15710884.

nus.edu.sg

math.nus.edu.sg

Aslaksen: Mathematics in Art and Architecture. Math.nus.edu.sg. Retrieved on 2013-04-16.

nytimes.com

lens.blogs.nytimes.com

Dunlap, David W. (31 July 2009). "Behind the Scenes: Edgar Martins Speaks". New York Times. Retrieved 11 November 2014. "My starting point for this construction was a simple statement which I once read (and which does not necessarily reflect my personal views): 'Only a bad architect relies on symmetry; instead of symmetrical layout of blocks, masses and structures, Modernist architecture relies on wings and balance of masses.'

semanticscholar.org

api.semanticscholar.org

Anderson, P.W. (1972). "More is Different" (PDF). Science. 177 (4047): 393–396. Bibcode:1972Sci...177..393A. doi:10.1126/science.177.4047.393. PMID 17796623. S2CID 34548824.
Wigner, E. P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, Bibcode:1939AnMat..40..149W, doi:10.2307/1968551, JSTOR 1968551, MR 1503456, S2CID 121773411
Montévil, Maël; Mossio, Matteo; Pocheville, Arnaud; Longo, Giuseppe (2016). "Theoretical principles for biology: Variation". Progress in Biophysics and Molecular Biology. From the Century of the Genome to the Century of the Organism: New Theoretical Approaches. 122 (1): 36–50. doi:10.1016/j.pbiomolbio.2016.08.005. PMID 27530930. S2CID 3671068.
Wagemans, J. (1997). "Characteristics and models of human symmetry detection". Trends in Cognitive Sciences. 1 (9): 346–352. doi:10.1016/S1364-6613(97)01105-4. PMID 21223945. S2CID 2143353.
Bertamini, M. (2010). "Sensitivity to reflection and translation is modulated by objectness". Perception. 39 (1): 27–40. doi:10.1068/p6393. PMID 20301844. S2CID 22451173.
Barlow, H.B.; Reeves, B.C. (1979). "The versatility and absolute efficiency of detecting mirror symmetry in random dot displays". Vision Research. 19 (7): 783–793. doi:10.1016/0042-6989(79)90154-8. PMID 483597. S2CID 41530752.
Grammer, K.; Thornhill, R. (1994). "Human (Homo sapiens) facial attractiveness and sexual selection: the role of symmetry and averageness". Journal of Comparative Psychology. 108 (3). Washington, D.C.: 233–42. doi:10.1037/0735-7036.108.3.233. PMID 7924253. S2CID 1205083.

springer.com

Longo, Giuseppe; Montévil, Maël (2016). Perspectives on Organisms: Biological time, Symmetries and Singularities. Springer. ISBN 978-3-662-51229-6.

stanford.edu

plato.stanford.edu

Daniels, Norman (2003-04-28). "Reflective Equilibrium". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy.

tamu.edu

robotics.cs.tamu.edu

Anderson, P.W. (1972). "More is Different" (PDF). Science. 177 (4047): 393–396. Bibcode:1972Sci...177..393A. doi:10.1126/science.177.4047.393. PMID 17796623. S2CID 34548824.

tennessee.edu

trace.tennessee.edu

Jenny Lea Bowman (2009). "Symmetrical Aesthetics of Beowulf". University of Tennessee, Knoxville.

thefreedictionary.com

encyclopedia2.thefreedictionary.com

"Rotoreflection Axis". TheFreeDictionary.com. Retrieved 2019-11-12.

tripod.com

members.tripod.com

Williams: Symmetry in Architecture. Members.tripod.com (1998-12-31). Retrieved on 2013-04-16.

uwaterloo.ca

cs.uwaterloo.ca

Gao, Alice (2019). "Propositional Logic: Introduction and Syntax" (PDF). University of Waterloo — School of Computer Science. Retrieved 2019-11-12.

web.archive.org

Valentine, James W. "Bilateria". AccessScience. Archived from the original on 18 January 2008. Retrieved 29 May 2013.
The Art of Chinese Bronzes Archived 2003-12-11 at the Wayback Machine. Chinavoc (2007-11-19). Retrieved on 2013-04-16.
Marla Mallett Textiles & Tribal Oriental Rugs. The Metropolitan Museum of Art, New York.
Quate: Exploring Geometry Through Quilts Archived 2003-12-31 at the Wayback Machine. Its.guilford.k12.nc.us. Retrieved on 2013-04-16.
see ("Fugue No. 21," pdf Archived 2005-09-13 at the Wayback Machine or Shockwave Archived 2005-10-26 at the Wayback Machine)