{"id":79,"date":"2020-07-13T17:07:13","date_gmt":"2020-07-13T17:07:13","guid":{"rendered":"https:\/\/site.dominiquepeysson.net\/?post_type=portfolio_item&#038;p=79"},"modified":"2020-12-11T17:45:47","modified_gmt":"2020-12-11T17:45:47","slug":"singular-points","status":"publish","type":"portfolio_item","link":"https:\/\/dominiquepeysson.net\/en\/project\/singular-points\/","title":{"rendered":"Single points"},"content":{"rendered":"<p><strong>Tissue paper on cardboard, 2014<\/strong><\/p>\n<h6><\/h6>\n\t<p>In mathematics, a singular point is a point at which a trajectory undergoes a change of inflection (reverse, change of curvature). When we walk, our trajectory presents a singular point when we stop (zero speed), to start again otherwise. In his theory of catastrophes, Ren\u00e9 Thom calls singular points catastrophic points.<\/p>\n<p><em>The very type of catastrophe, if you will, is, let's say, a sheet of paper that you fold and which, at a certain point, catches an angle, right? which remains regular and then suddenly a fold forms, a fold characterized by a discontinuity. It is this type of phenomenon that I wanted to systematize.<\/em><\/p>\n\nRen\u00e9 Thom, Interviews with mathematicians, Jacques Nimier.\n\t\t\t\t<img data-recalc-dims=\"1\" fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/site.dominiquepeysson.net\/wp-content\/uploads\/2020\/07\/plis1.jpg?resize=556%2C386&#038;ssl=1\" alt=\"ply1\" itemprop=\"image\" height=\"386\" width=\"556\" title=\"ply1\" onerror=\"this.style.display='none'\"  \/>\n\t\t\t\t<img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/site.dominiquepeysson.net\/wp-content\/uploads\/2020\/07\/plis2.jpg?resize=556%2C370&#038;ssl=1\" alt=\"ply2\" itemprop=\"image\" height=\"370\" width=\"556\" title=\"ply2\" onerror=\"this.style.display='none'\"  \/>\n\t\t\t\t<img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/site.dominiquepeysson.net\/wp-content\/uploads\/2020\/07\/expo_plis.jpg?w=930&#038;ssl=1\" alt=\"expo_plis\" itemprop=\"image\"\/>","protected":false},"excerpt":{"rendered":"<p>Papier de soie sur carton, 2014 En math\u00e9matiques, un point singulier est un point en lequel une trajectoire subit un changement d\u2019inflexion (retour en arri\u00e8re, changement de courbure). Lorsque nous marchons, notre trajectoire pr\u00e9sente un point singulier quand nous nous arr\u00eatons (vitesse nulle), pour repartir autrement.Dans sa th\u00e9orie des catastrophes, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":195,"comment_status":"open","ping_status":"closed","template":"","meta":{"su_portfolio_item_director":"","su_portfolio_item_year":"","su_portfolio_item_client":"","su_portfolio_item_skills":""},"portfolio":[8],"class_list":["post-79","portfolio_item","type-portfolio_item","status-publish","has-post-thumbnail","hentry","portfolio-autre"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/portfolio_item\/79","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/portfolio_item"}],"about":[{"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/types\/portfolio_item"}],"author":[{"embeddable":true,"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/comments?post=79"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/media\/195"}],"wp:attachment":[{"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/media?parent=79"}],"wp:term":[{"taxonomy":"portfolio","embeddable":true,"href":"https:\/\/dominiquepeysson.net\/en\/wp-json\/wp\/v2\/portfolio?post=79"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}