{"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\" loading=\"lazy\" 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\" loading=\"lazy\" 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>Tissue paper on cardboard, 2014 In mathematics, a singular point is a point at which a trajectory undergoes a change of inflection (return, change of curvature). When we walk, our trajectory presents a singular point when we stop (zero speed), to start again differently. In his theory of catastrophes, [\u2026]<\/p>","protected":false},"author":1,"featured_media":195,"comment_status":"open","ping_status":"closed","template":"","meta":[],"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}]}}