{"id":42633,"date":"2018-02-28T09:15:46","date_gmt":"2018-02-28T17:15:46","guid":{"rendered":"http:\/\/world.edu\/?p=42633"},"modified":"2018-02-28T09:38:44","modified_gmt":"2018-02-28T17:38:44","slug":"art-merges-maths-explore-continuity-change-exotic-states","status":"publish","type":"post","link":"https:\/\/world.edu\/art-merges-maths-explore-continuity-change-exotic-states\/","title":{"rendered":"How art merges with maths to explore continuity, change and exotic states"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/MATH-ARTIST2-250x125.jpg\" alt=\"\" width=\"250\" height=\"125\" class=\"alignnone size-medium wp-image-42649\" srcset=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/MATH-ARTIST2-250x125.jpg 250w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/MATH-ARTIST2.jpg 680w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><br \/>\nImagine you could turn a hollow sphere completely inside out &#8211; without making a hole, without cutting the material, without making any creases.<\/p>\n<p>If you could ever do such a thing, it would rely on a field of mathematics called topology.<\/p>\n<p>Kate Scardifileld\u2019s current exhibition\u00a0<a href=\"http:\/\/art.uts.edu.au\/index.php\/exhibitions\/soft-topologies\/\">Soft Topologies<\/a>\u00a0at the UTS Gallery is an example of an artist using the metaphor of topology to make artwork and describe her practice. Scardifield\u2019s primary media are textiles, though the exhibition is also a series of \u201cadaptable sculptures\u201d that will be transformed by the artist and a select, multidisciplinary team.<\/p>\n<p>The exhibition is a choreography of Scardifield\u2019s attractively coloured textiles, which spray, flutter, fan, drape, hang and crumple through the space like escaped gestures. These forms are only one version of the installations, limited by the static state convenient for gallery viewing.<\/p>\n<p>The far wall of the exhibition is covered by a grid of yellow tape against bright blue. It\u2019s a comparatively rigid expression of space that offsets the dynamism and intricacy of the textiles scattered about the room.<br \/>\n<div id=\"attachment_42636\" style=\"width: 690px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" aria-describedby=\"caption-attachment-42636\" src=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid.jpg\" alt=\"\" width=\"680\" height=\"680\" class=\"size-full wp-image-42636\" srcset=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid.jpg 680w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-110x110.jpg 110w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-250x250.jpg 250w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-32x32.jpg 32w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-50x50.jpg 50w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-64x64.jpg 64w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-96x96.jpg 96w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/wallgrid-128x128.jpg 128w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><p id=\"caption-attachment-42636\" class=\"wp-caption-text\">nstalling the Working Wall grid for Soft Topologies at UTS Gallery, 2018. Kate Scardifield, Author provided<\/p><\/div><\/p>\n<h4><strong>What is topology?<\/strong><\/h4>\n<p>The origins of topology are in the field of geometry, where it is used to understand \u201c<a href=\"https:\/\/theconversation.com\/the-nobel-prize-for-physics-goes-to-topology-and-mathematicians-applaud-66532\">geometric objects that don\u2019t change when bent or stretched<\/a>.\u201d<\/p>\n<p>Combined with algebraic geometry, abstract algebra, differential equations and probabilities, topology is now used in many branches of physics to understand \u201c<a href=\"https:\/\/theconversation.com\/the-nobel-prize-for-physics-goes-to-topology-and-mathematicians-applaud-66532\">exotic states of matter<\/a>\u201d &#8211; that is, states of matter that are not solid, liquid or gas and that have\u00a0<a href=\"https:\/\/www.school-for-champions.com\/science\/matter_states_exotic.htm#.WpTm1BNuY6g\">very unusual physical characteristics<\/a>.<\/p>\n<p>But topology has recently made the transition from an exclusively mathematical field of study to something that is more widely used in the analysis and creation of cultural and social phenomena. Some scholars even claim that culture as a whole is \u201c<a href=\"http:\/\/journals.sagepub.com\/doi\/abs\/10.1177\/0263276412454552\">becoming topological<\/a>.\u201d<\/p>\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/R_w4HYXuo9M\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>Scardifield\u2019s exhibition is an example of the way practitioners from different disciplines productively use ideas that originate in vastly different fields of study.<\/p>\n<p>Metaphors forged in one discipline happily circulate through others. \u201c<a href=\"https:\/\/en.wikipedia.org\/wiki\/Cell_theory\">The cell<\/a>\u201d, for instance, is an architectural term that became common and influential in biological science, the study of social phenomena (terrorist cells) and technology (cell phone). \u201cImmunity\u201d is a term that originally had\u00a0<a href=\"https:\/\/books.google.com.au\/books?id=ifAczQoHyZ0C&amp;pg=PA249&amp;lpg=PA249&amp;dq=1881+immune+metaphor+law&amp;source=bl&amp;ots=AjoxjJOi1X&amp;sig=6yOxSYMeeY22-Fv6Xw5rtKnN_kc&amp;hl=en&amp;sa=X&amp;ved=0ahUKEwjMyO7-q8fZAhVEvrwKHbXOC9oQ6AEILDAB#v=onepage&amp;q=1881%20immune%20metaphor%20law&amp;f=false\">legal applications<\/a>\u00a0meaning \u201cexception from liability\u201d, which is now more commonly associated with medicine.<\/p>\n<h4><strong>Explaining relationships<\/strong><\/h4>\n<p>Topology enables a different understanding of the relationships between things.<\/p>\n<p>Philosopher\u00a0<a href=\"https:\/\/muse.jhu.edu\/article\/390243\">Ian Hacking<\/a>\u00a0suggests that the topological metaphor of a\u00a0<a href=\"https:\/\/en.wikipedia.org\/wiki\/Manifold\">manifold<\/a>\u00a0is an improvement on the optical metaphor of a spectrum for capturing our present awareness of autism. A spectrum \u201cmisleadingly suggests a single dimension from severe to high-functioning\u201d whereas manifolds, like kinds of autism, \u201ccome in any number of dimensions\u201d.<\/p>\n<p>Topological metaphors are also useful for thinking differently about other relations that are conventionally conceived as spectra: left and right political, male and female gender.<\/p>\n<p>For example, thinking topologically enables the understanding that Greens supporters and Nationals, who are usually imagined to be at opposed ends of the political spectrum, might be aligned on certain issues, such as those to do with the fights against coal mines on farm land.<br \/>\n<div id=\"attachment_42637\" style=\"width: 690px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-42637\" src=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/adaptablesculpture.jpg\" alt=\"\" width=\"680\" height=\"947\" class=\"size-full wp-image-42637\" srcset=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/adaptablesculpture.jpg 680w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/adaptablesculpture-180x250.jpg 180w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><p id=\"caption-attachment-42637\" class=\"wp-caption-text\">Adaptable sculpture in one variation. Accordion pleated spinnaker cloth, sail battens. Robin Hearfield, Author provided<\/p><\/div><\/p>\n<h4><strong>Topology in textiles<\/strong><\/h4>\n<p>Scardifield\u2019s practice involves folding and distorting cloth so that it takes on a surprising variety of forms. She focuses on the relationship between change and continuity of form through operations of weaving, folding, draping, pleating and layering. These are analogous to the abstract manipulations and speculations that inform the mathematical field of topology.<\/p>\n<p>A flat piece of cloth is a classic, simple two dimensional space. Three dimensional space of a more complicated nature is created when Scardifield deliberately folds cloth in pleats.<\/p>\n<p>Folds of a more random variety are created in the exhibition by allowing the cloth to describe the forms of other objects (draping) or the forces of gravity and tension (hanging). The new forms created in these processes are at once distinct from and yet continuous with the original pieces of cloth.<\/p>\n<p>Author and academic\u00a0<a href=\"http:\/\/www.stevenconnor.com\/topologies\/\">Steven Connor suggests<\/a>\u00a0that \u201cthe labile, intermediary form of the textile\u201d provides a better material metaphor for understanding \u201cthe contemporary world of communication and information\u201d than previous alternatives of solidity or fluidity.<br \/>\n<div id=\"attachment_42638\" style=\"width: 690px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-42638\" src=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/polysterorganza.jpg\" alt=\"\" width=\"680\" height=\"1020\" class=\"size-full wp-image-42638\" srcset=\"https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/polysterorganza.jpg 680w, https:\/\/world.edu\/wp-content\/uploads\/2018\/02\/polysterorganza-167x250.jpg 167w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><p id=\"caption-attachment-42638\" class=\"wp-caption-text\">Hand pleated and heat-set polyester organza, cotton thread, black tourmaline. 185x120cm (full expansion). Adaptable form, Dimensions variable. Kate Scardifield and ALASKA Projects, Author provided<\/p><\/div><\/p>\n<p>Textiles are at once pliable and cohesive, and in this sense invite the imagining of forms that dance with subtle fluctuations over time. This is expressed in the following video of Scardifield making a chevron mould.<\/p>\n<blockquote class=\"instagram-media\" style=\"width: 100%\" data-instgrm-captioned data-instgrm-version=\"7\"><p>\n            <a href=\"https:\/\/www.instagram.com\/p\/BfraGw-Hr-t\/?taken-by=katescardifield\" target=\"_blank\"><\/a>\n          <\/p><\/blockquote>\n<p>          <script src=\"\/\/platform.instagram.com\/en_US\/embeds.js\"><\/script><br \/>\n          <script>window.instgrm.Embeds.process()<\/script><\/p>\n<p>The expression of space and form in terms of continuity and change is central to the individual objects in Soft Topologies and the overall design of the exhibition. Scardifield has deliberately designed the exhibition as a dynamic space, involving multiple participants from different disciplines who rearrange her works for the duration of the show and express her textiles through other media, such as video and photography.<\/p>\n<p>The traces of her work in different media are like the traces left by the folds Scardifield makes in cloth and paper to create new forms.<\/p>\n<p>Scardifield doesn\u2019t use topological mathematics in her exhibition. However, the show is a great example of topology can invite different possibilities for imagining and analysis.<\/p>\n<p><em><strong>Author Bio: <\/strong>Tom Lee is a Lecturer, Faculty of Design and Architecture Building at the University of Technology Sydney<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Imagine you could turn a hollow sphere completely inside out &#8211; without making a hole, without cutting the material, without making any creases. If you could ever do such a thing, it would rely on a field of mathematics called topology. Kate Scardifileld\u2019s current exhibition\u00a0Soft Topologies\u00a0at the UTS Gallery is an example of an artist [&hellip;]\n&hellip; <a href=\"https:\/\/world.edu\/art-merges-maths-explore-continuity-change-exotic-states\/\" class=\"more\">learn more&rarr;<\/a><\/p>","protected":false},"author":33,"featured_media":42636,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[15645],"tags":[185060],"coauthors":[11733],"class_list":["post-42633","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education","tag-topology"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How art merges with maths to explore continuity, change and exotic states - World leading higher education information and services<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/world.edu\/art-merges-maths-explore-continuity-change-exotic-states\/\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:locale\" content=\"en_US\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:type\" content=\"article\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:title\" content=\"How art merges with maths to explore continuity, change and exotic states - World leading higher education information and services\" class=\"yoast-seo-meta-tag\" \/>\n<meta property=\"og:description\" content=\"Imagine you could turn a hollow sphere completely inside out &#8211; without making a hole, without cutting the material, without making any creases. 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If you could ever do such a thing, it would rely on a field of mathematics called topology. 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