{"id":2085,"date":"2023-10-22T20:15:26","date_gmt":"2023-10-22T20:15:26","guid":{"rendered":"https:\/\/lepetitparc.ca\/jean-pierre-2\/?p=2085"},"modified":"2023-10-30T14:43:06","modified_gmt":"2023-10-30T14:43:06","slug":"le-mal-nomme-bonnet-turc-suite-et-fin","status":"publish","type":"post","link":"https:\/\/lepetitparc.ca\/jean-pierre-2\/le-mal-nomme-bonnet-turc-suite-et-fin\/","title":{"rendered":"Le mal nomm\u00e9 bonnet turc, suite et fin"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2085\" class=\"elementor elementor-2085\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5540e91 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5540e91\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-579f1ea\" data-id=\"579f1ea\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a79032b elementor-widget elementor-widget-text-editor\" data-id=\"a79032b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Il y avait \u00e0 Rockland le restaurant St-Jacques. Une v\u00e9ritable institution, le point focal du village. Un peu \u00e0 cause de l\u2019arr\u00eat d\u2019autobus Colonial qui faisait la navette entre Ottawa et Montr\u00e9al. \u00c7a faisait l\u2019affaire de M. St-Jacques qui se rendait \u00e0 Montr\u00e9al tous les samedis d\u2019hiver pour y voir la Sainte-Flanelle au Forum.<\/p><p>C\u2019est Mme St-Jacques qui portait le commerce sur ses \u00e9paules. C\u2019est elle qui cuisinait les hamburgers pour un groupe de jeunes affam\u00e9s qui s\u2019y rendaient jouer une ou deux <i>games de pool<\/i> sur l\u2019unique table de billard de la place.<\/p><p>J\u2019habitais tout pr\u00e8s \u00e0 l\u2019\u00e9poque et j\u2019\u00e9tais parfois le premier sur les lieux. En attendant, je m\u2019amusais \u00e0 frapper une boule pour la faire rebondir le plus longtemps possible. La trajectoire \u00e9tait fascinante et tout \u00e0 fait pr\u00e9visible. Je pensais d\u00e9velopper une arme secr\u00e8te \u00e0 utiliser dans une impasse.<\/p><p>Je ne soup\u00e7onnais pas \u00e0 l\u2019\u00e9poque que, pendant que je me d\u00e9sint\u00e9ressais progressivement du billard, des math\u00e9maticiens s\u2019y int\u00e9ressaient davantage.<\/p><p>En 1998, Jones (<a href=\"https:\/\/lepetitparc.ca\/jean-pierre\/la-theorie-des-noeuds\/\">oui, le m\u00eame<\/a>) et Przytycki ont publi\u00e9 un <a href=\"http:\/\/matwbn.icm.edu.pl\/ksiazki\/bcp\/bcp42\/bcp42112.pdf\">article<\/a> \u00e9tablissant un lien entre la courbe de Lissajous, le billard et les n\u0153uds.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-31f9c5b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"31f9c5b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2b47346\" data-id=\"2b47346\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f3660d5 elementor-widget elementor-widget-image\" data-id=\"f3660d5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"355\" height=\"186\" src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/Lissajous5-4.png\" class=\"attachment-large size-large wp-image-2092\" alt=\"Courbe de Lissajous\" srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/Lissajous5-4.png 355w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/Lissajous5-4-300x157.png 300w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d5e549b elementor-widget elementor-widget-text-editor\" data-id=\"d5e549b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La courbe de Lissajous est \u00abla trajectoire d&rsquo;un point dont les composantes rectangulaires ont un mouvement sinuso\u00efdal.\u00bb (<a href=\"https:\/\/fr.wikipedia.org\/wiki\/Courbe_de_Lissajous\">Wikipedia<\/a>)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-db52ad4\" data-id=\"db52ad4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f12da44 elementor-widget elementor-widget-image\" data-id=\"f12da44\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"298\" height=\"206\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/gbhijgfe-5-3.png\" class=\"attachment-large size-large wp-image-2091 lazyload\" alt=\"N\u0153ud sans fin\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 298px; --smush-placeholder-aspect-ratio: 298\/206;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dfd0631 elementor-widget elementor-widget-text-editor\" data-id=\"dfd0631\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Le n\u0153ud de billard rectangulaire ou cubique est \u00abla trajectoire ferm\u00e9e d&rsquo;une boule dans un billard \u00e0 bords rectangulaires, en modifiant les points de croisements en passages alternatifs dessus dessous\u00bb. (<a href=\"https:\/\/mathcurve.com\/courbes3d\/lissajous3d\/billardrect.shtml\">Robert Ferr\u00e9ol<\/a>)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-9b4c00d\" data-id=\"9b4c00d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a4fb721 elementor-widget elementor-widget-image\" data-id=\"a4fb721\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"450\" height=\"268\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/celtic-knot-450x268-1.png\" class=\"attachment-large size-large wp-image-2093 lazyload\" alt=\"N\u0153ud celtique\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/celtic-knot-450x268-1.png 450w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/celtic-knot-450x268-1-300x179.png 300w\" data-sizes=\"(max-width: 450px) 100vw, 450px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 450px; --smush-placeholder-aspect-ratio: 450\/268;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4642611 elementor-widget elementor-widget-text-editor\" data-id=\"4642611\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Un n\u0153ud celtique, variation du n\u0153ud sacr\u00e9, sans fin, bouddhiste, mongole, islamique, etc\u2026<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3c46ee3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3c46ee3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-85f54ac\" data-id=\"85f54ac\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc0ecc5 elementor-widget elementor-widget-text-editor\" data-id=\"fc0ecc5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Si le billard \u00e9tait triangulaire au lieu de rectangulaire, la trajectoire de la boule pourrait dessiner un n\u0153ud de tr\u00e8fle. (La premi\u00e8re image est tir\u00e9e de l\u2019article de Jones et Przytycki\u00a0 cit\u00e9 plus haut.)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-fde5581\" data-id=\"fde5581\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eeb5a1b elementor-widget elementor-widget-image\" data-id=\"eeb5a1b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"330\" height=\"330\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/triangle-billard.jpg\" class=\"attachment-large size-large wp-image-2095 lazyload\" alt=\"\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/triangle-billard.jpg 330w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/triangle-billard-300x300.jpg 300w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/triangle-billard-150x150.jpg 150w\" data-sizes=\"(max-width: 330px) 100vw, 330px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 330px; --smush-placeholder-aspect-ratio: 330\/330;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-f4daa13\" data-id=\"f4daa13\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-15d5ba3 e-transform elementor-widget elementor-widget-image\" data-id=\"15d5ba3\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_transform_flipX_effect&quot;:&quot;transform&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"768\" height=\"768\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/768px-TrefoilKnot_01.svg_.png\" class=\"attachment-large size-large wp-image-2094 lazyload\" alt=\"N\u0153ud de tr\u00e8fle\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/768px-TrefoilKnot_01.svg_.png 768w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/768px-TrefoilKnot_01.svg_-300x300.png 300w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/768px-TrefoilKnot_01.svg_-150x150.png 150w\" data-sizes=\"(max-width: 768px) 100vw, 768px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 768px; --smush-placeholder-aspect-ratio: 768\/768;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-97a6ba8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"97a6ba8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4cca6d7\" data-id=\"4cca6d7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bff8e60 elementor-widget elementor-widget-text-editor\" data-id=\"bff8e60\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>D\u2019autres math\u00e9maticiens ont pris la balle au bond, ou la boule au rebond, et ont imagin\u00e9 la trajectoire d\u2019une boule \u00e0 l\u2019int\u00e9rieur d\u2019un cylindre. Le r\u00e9sultat est \u00e9poustouflant\u00a0: la boule trace un bonnet turc!<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-ee9b94f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ee9b94f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-420b0fe\" data-id=\"420b0fe\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b3cef3 elementor-widget elementor-widget-image\" data-id=\"1b3cef3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"240\" height=\"240\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/fjibcbha.png\" class=\"attachment-large size-large wp-image-2098 lazyload\" alt=\"N\u0153ud de billard cylindrique\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/fjibcbha.png 240w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/fjibcbha-150x150.png 150w\" data-sizes=\"(max-width: 240px) 100vw, 240px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 240px; --smush-placeholder-aspect-ratio: 240\/240;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58bf1fe elementor-widget elementor-widget-text-editor\" data-id=\"58bf1fe\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Repr\u00e9sentation en 2 dimensions d\u2019un n\u0153ud de billard cylindrique. (Image de Alain Esculier.)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3496c43\" data-id=\"3496c43\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a4885ff e-transform elementor-widget elementor-widget-image\" data-id=\"a4885ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_transform_flipX_effect&quot;:&quot;transform&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"400\" height=\"400\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-3d.jpg\" class=\"attachment-large size-large wp-image-2097 lazyload\" alt=\"Bonnet turc en 3D\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-3d.jpg 400w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-3d-300x300.jpg 300w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-3d-150x150.jpg 150w\" data-sizes=\"(max-width: 400px) 100vw, 400px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 400px; --smush-placeholder-aspect-ratio: 400\/400;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f1da69f elementor-widget elementor-widget-text-editor\" data-id=\"f1da69f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Bonnet turc \u00e0 3 spires et 4 ganses, doubl\u00e9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-96cc056\" data-id=\"96cc056\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e4e07ae e-transform elementor-widget elementor-widget-image\" data-id=\"e4e07ae\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_transform_flipX_effect&quot;:&quot;transform&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"400\" height=\"400\" data-src=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-2d.jpg\" class=\"attachment-large size-large wp-image-2096 lazyload\" alt=\"Bonnet turc \u00e0 plat\" data-srcset=\"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-2d.jpg 400w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-2d-300x300.jpg 300w, https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-content\/uploads\/sites\/40\/2023\/10\/bonnet-2d-150x150.jpg 150w\" data-sizes=\"(max-width: 400px) 100vw, 400px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 400px; --smush-placeholder-aspect-ratio: 400\/400;\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ab50a03 elementor-widget elementor-widget-text-editor\" data-id=\"ab50a03\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Le m\u00eame n\u0153ud \u00e0 plat. Les bouts devraient \u00eatre joints.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f9dcb8 elementor-widget elementor-widget-text-editor\" data-id=\"0f9dcb8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u00ab Un n\u0153ud de billard cylindrique, appel\u00e9 commun\u00e9ment \u00ab\u00a0bonnet turc\u00a0\u00bb, est le n\u0153ud obtenu \u00e0 partir d&rsquo;une trajectoire ferm\u00e9e d&rsquo;une boule dans un billard cylindrique (boule non soumise \u00e0 la pesanteur!), en modifiant les points de croisements en passages altern\u00e9s dessus dessous. \u00bb (<a href=\"https:\/\/mathcurve.com\/courbes3d\/lissajous3d\/billardrect.shtml\">Robert Ferr\u00e9ol<\/a>)<\/p><p>Maintenant, comment convaincre le monde entier<a href=\"https:\/\/lepetitparc.ca\/jean-pierre\/bien-aime-mal-nomme-bonnet-turc\/\"> d\u2019abandonner le terme bonnet turc<\/a> pour n\u0153ud de billard cylindrique, ou n\u0153ud de billard tout court?<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Il y avait \u00e0 Rockland le restaurant St-Jacques. Une v\u00e9ritable institution, le point focal du village. Un peu \u00e0 cause de l\u2019arr\u00eat d\u2019autobus Colonial qui faisait la navette entre Ottawa et Montr\u00e9al. \u00c7a faisait l\u2019affaire de M. St-Jacques qui se rendait \u00e0 Montr\u00e9al tous les samedis d\u2019hiver pour y voir la Sainte-Flanelle au Forum.<\/p>\n","protected":false},"author":5,"featured_media":2087,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","disable_featured_image":false,"footnotes":""},"categories":[109],"tags":[51,71,50,19],"taxon-du-petit-parc":[46],"class_list":["post-2085","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-noeuds","tag-billard","tag-bonnet-turc","tag-mathematiques","tag-noeuds","taxon-du-petit-parc-metiers"],"acf":[],"_links":{"self":[{"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/posts\/2085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/comments?post=2085"}],"version-history":[{"count":27,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/posts\/2085\/revisions"}],"predecessor-version":[{"id":2179,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/posts\/2085\/revisions\/2179"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/media\/2087"}],"wp:attachment":[{"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/media?parent=2085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/categories?post=2085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/tags?post=2085"},{"taxonomy":"taxon-du-petit-parc","embeddable":true,"href":"https:\/\/lepetitparc.ca\/jean-pierre-2\/wp-json\/wp\/v2\/taxon-du-petit-parc?post=2085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}