{"version":"1.0","provider_name":"\u0410\u0437-\u0431\u0443\u043a\u0438","provider_url":"https:\/\/press.azbuki.bg\/en\/","author_name":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","author_url":"https:\/\/press.azbuki.bg\/en\/author\/azbuki_ekip\/","title":"Applying Delaunay Triangulation in Olympiad Problems - \u0410\u0437-\u0431\u0443\u043a\u0438","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"VtmIpO8azD\"><a href=\"https:\/\/press.azbuki.bg\/en\/uncategorized\/applying-delaunay-triangulation-in-olympiad-problems\/\">Applying Delaunay Triangulation in Olympiad Problems<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/press.azbuki.bg\/en\/uncategorized\/applying-delaunay-triangulation-in-olympiad-problems\/embed\/#?secret=VtmIpO8azD\" width=\"600\" height=\"338\" title=\"&#8220;Applying Delaunay Triangulation in Olympiad Problems&#8221; &#8212; \u0410\u0437-\u0431\u0443\u043a\u0438\" data-secret=\"VtmIpO8azD\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script type=\"text\/javascript\">\n\/*! This file is auto-generated *\/\n!function(c,d){\"use strict\";var e=!1,o=!1;if(d.querySelector)if(c.addEventListener)e=!0;if(c.wp=c.wp||{},c.wp.receiveEmbedMessage);else if(c.wp.receiveEmbedMessage=function(e){var t=e.data;if(!t);else if(!(t.secret||t.message||t.value));else if(\/[^a-zA-Z0-9]\/.test(t.secret));else{for(var r,s,a,i=d.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),n=d.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),o=new RegExp(\"^https?:$\",\"i\"),l=0;l<n.length;l++)n[l].style.display=\"none\";for(l=0;l<i.length;l++)if(r=i[l],e.source!==r.contentWindow);else{if(r.removeAttribute(\"style\"),\"height\"===t.message){if(1e3<(s=parseInt(t.value,10)))s=1e3;else if(~~s<200)s=200;r.height=s}if(\"link\"===t.message)if(s=d.createElement(\"a\"),a=d.createElement(\"a\"),s.href=r.getAttribute(\"src\"),a.href=t.value,!o.test(a.protocol));else if(a.host===s.host)if(d.activeElement===r)c.top.location.href=t.value}}},e)c.addEventListener(\"message\",c.wp.receiveEmbedMessage,!1),d.addEventListener(\"DOMContentLoaded\",t,!1),c.addEventListener(\"load\",t,!1);function t(){if(o);else{o=!0;for(var e,t,r,s=-1!==navigator.appVersion.indexOf(\"MSIE 10\"),a=!!navigator.userAgent.match(\/Trident.*rv:11\\.\/),i=d.querySelectorAll(\"iframe.wp-embedded-content\"),n=0;n<i.length;n++){if(!(r=(t=i[n]).getAttribute(\"data-secret\")))r=Math.random().toString(36).substr(2,10),t.src+=\"#?secret=\"+r,t.setAttribute(\"data-secret\",r);if(s||a)(e=t.cloneNode(!0)).removeAttribute(\"security\"),t.parentNode.replaceChild(e,t);t.contentWindow.postMessage({message:\"ready\",secret:r},\"*\")}}}}(window,document);\n<\/script>\n","description":"Dragomir Grozev, Nevena Sybeva Institute of Mathematics and Informatics Bulgarian Academy of Sciences \u2013 Sofia (Bulgaria) https:\/\/doi.org\/10.53656\/math2025-1-1-app Abstract. Some fundamental properties of Delaunay triangulation are presented in this article. The construction of the triangulation described here has not been encountered by the authors in the known literature. The main point is to apply this triangulation [&hellip;]"}