{"id":9251,"date":"2020-12-21T08:30:56","date_gmt":"2020-12-21T08:30:56","guid":{"rendered":"https:\/\/www.mathsweek.ie\/2020\/?p=9251"},"modified":"2024-11-22T17:27:32","modified_gmt":"2024-11-22T17:27:32","slug":"santas-path","status":"publish","type":"post","link":"https:\/\/www.mathsweek.ie\/2025\/santas-path\/","title":{"rendered":"Santa\u2019s Path"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;border-width: 0px 0px 0px 0px;border-color:#eaeaea;border-style:solid;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start\" style=\"max-width:1289.6px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_2_3 2_3 fusion-flex-column\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;padding: 0px 0px 0px 0px;\"><style type=\"text\/css\">@media only screen and (max-width:1024px) {.fusion-title.fusion-title-1{margin-top:0%!important; margin-right:0px!important;margin-bottom:30px!important;margin-left:0px!important;}}@media only screen and (max-width:640px) {.fusion-title.fusion-title-1{margin-top:0px!important; margin-right:0px!important;margin-bottom:20px!important; margin-left:0px!important;}}<\/style><div class=\"fusion-title title fusion-title-1 fusion-title-text fusion-title-size-one\" style=\"margin-top:0%;margin-right:0px;margin-bottom:30px;margin-left:0px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#eaeaea;\"><\/div><\/div><h1 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:50;line-height:1.2;\">Santa\u2019s Path<\/h1><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#eaeaea;\"><\/div><\/div><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-bottom:60px;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"border-color:#eaeaea;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div ><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"600\" height=\"334\" title=\"Screenshot 2020-12-15 at 16.06.43\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43-600x334.png\" class=\"img-responsive wp-image-9253\" srcset=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43-200x111.png 200w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43-400x223.png 400w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43-600x334.png 600w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43-800x445.png 800w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.43.png 1006w\" sizes=\"(max-width: 1024px) 100vw, (max-width: 640px) 100vw, 800px\" \/><\/span><\/div><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-1 content-boxes-icon-with-title content-left\" data-animationOffset=\"100%\" style=\"margin-top:0px;margin-bottom:0px;\"><style type=\"text\/css\">.fusion-content-boxes-1 .heading .content-box-heading {color:#191919;}\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover .heading .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover .heading .heading-link .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover .heading .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover .heading .heading-link .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more::after,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more::before,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .fusion-read-more:hover:after,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .fusion-read-more:hover:before,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .fusion-read-more:hover,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more::after,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more::before,\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover .icon .circle-no,\n\t\t\t\t\t.fusion-content-boxes-1 .heading .heading-link:hover .content-box-heading {\n\t\t\t\t\t\tcolor: #e9a825;\n\t\t\t\t\t}\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover .icon .circle-no {\n\t\t\t\t\t\tcolor: #e9a825 !important;\n\t\t\t\t\t}.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box.link-area-box-hover .fusion-content-box-button {background: #d6ad5a;color: #785510;background-image: -webkit-gradient( linear, left bottom, left top, from( #e8cb90 ), to( #d6ad5a ) );background-image: linear-gradient( to top, #e8cb90, #d6ad5a )}.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box.link-area-box-hover .fusion-content-box-button .fusion-button-text {color: #785510;}\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover .heading .icon > span {\n\t\t\t\t\t\tbackground-color: #e9a825 !important;\n\t\t\t\t\t}\n\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover .heading .icon > span {\n\t\t\t\t\t\tborder-color: #e9a825 !important;\n\t\t\t\t\t}<\/style><div class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper-background link-area-box icon-hover-animation-fade\" style=\"background-color:#dbdbdb;\" data-animationOffset=\"100%\"><div class=\"heading icon-left\"><h2 class=\"content-box-heading\" style=\"font-size:23px;line-height:28px;\">Description and Materials<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\" style=\"color:#707070;\">\n<p><strong>Description<\/strong><\/p>\n<p>Print out our templates and help Santa find his way to every child\u2019s house!<\/p>\n<p><strong>Materials<\/strong><\/p>\n<p>Templates:<\/p>\n<p><a href=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/1_santa-hamilton-template.pdf\">Santa\u2019s one (primary)<\/a><\/p>\n<p><a href=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/2_Icosian-Game-template.pdf\">Icosian one (secondary)<\/a><\/p>\n<p>Markers or thread<\/p>\n<p>Pencil<\/p>\n<\/div><\/div><\/div><style type=\"text\/css\">\n\t\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .heading-link:hover .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box:hover .heading-link .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-link-icon-hover .heading .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-1 .fusion-content-box-hover .link-area-box-hover .heading .icon i.circle-yes {\n\t\t\t\t\t\t\tbackground-color: #e9a825 !important;\n\t\t\t\t\t\t\tborder-color: #e9a825 !important;\n\t\t\t\t\t\t}<\/style><div class=\"fusion-clearfix\"><\/div><\/div><div class=\"fusion-content-boxes content-boxes columns row fusion-columns-1 fusion-columns-total-1 fusion-content-boxes-2 content-boxes-icon-with-title content-left\" data-animationOffset=\"100%\" style=\"margin-top:0px;margin-bottom:0px;\"><style type=\"text\/css\">.fusion-content-boxes-2 .heading .content-box-heading {color:#191919;}\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover .heading .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover .heading .heading-link .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover .heading .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover .heading .heading-link .content-box-heading,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more::after,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover.link-area-box .fusion-read-more::before,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .fusion-read-more:hover:after,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .fusion-read-more:hover:before,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .fusion-read-more:hover,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more::after,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover.link-area-box .fusion-read-more::before,\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover .icon .circle-no,\n\t\t\t\t\t.fusion-content-boxes-2 .heading .heading-link:hover .content-box-heading {\n\t\t\t\t\t\tcolor: #e9a825;\n\t\t\t\t\t}\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover .icon .circle-no {\n\t\t\t\t\t\tcolor: #e9a825 !important;\n\t\t\t\t\t}.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box.link-area-box-hover .fusion-content-box-button {background: #d6ad5a;color: #785510;background-image: -webkit-gradient( linear, left bottom, left top, from( #e8cb90 ), to( #d6ad5a ) );background-image: linear-gradient( to top, #e8cb90, #d6ad5a )}.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box.link-area-box-hover .fusion-content-box-button .fusion-button-text {color: #785510;}\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover .heading .icon > span {\n\t\t\t\t\t\tbackground-color: #e9a825 !important;\n\t\t\t\t\t}\n\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover .heading .icon > span {\n\t\t\t\t\t\tborder-color: #e9a825 !important;\n\t\t\t\t\t}<\/style><div class=\"fusion-column content-box-column content-box-column content-box-column-1 col-lg-12 col-md-12 col-sm-12 fusion-content-box-hover content-box-column-last content-box-column-last-in-row\"><div class=\"col content-box-wrapper content-wrapper link-area-box icon-hover-animation-fade\" style=\"background-color:rgba(255,255,255,0);\" data-animationOffset=\"100%\"><div class=\"heading icon-left\"><h2 class=\"content-box-heading\" style=\"font-size:23px;line-height:28px;\">Instructions<\/h2><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\" style=\"color:#707070;\">\n<p><strong>Instructions<\/strong><\/p>\n<p>Can you lead Santa through the graph drawing a closed path?<\/p>\n<p>There are different options, how many paths can you find?<\/p>\n<p><strong>The Icosian game was created by Ireland\u2019s greatest mathematician William Rowan Hamilton<\/strong> in 1857 and consists of the following graph. The aim is to determine a path that passes through all of the vertices once and only once, and then returns to the starting point.<\/p>\n<p><a href=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21.png\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-9259\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-300x289.png\" alt=\"\" width=\"300\" height=\"289\" srcset=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-200x193.png 200w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-300x289.png 300w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-400x386.png 400w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-600x578.png 600w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21-768x740.png 768w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.07.21.png 778w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>You can draw on the template or you can trace the path using a simple thread, so you can reuse the template over and over again.<\/p>\n<p>Challenge yourself by:<\/p>\n<p>\u2981\u00a0\u00a0\u00a0 Selecting a vertex (point) &#8211; ask them to trace out a path that passes through all other vertices exactly once while starting and returning to the selected vertex.<\/p>\n<p>\u2981\u00a0\u00a0\u00a0 Selecting two vertices and ask them to trace out a path that passes through all other vertices exactly once while starting and returning to the selected vertices.<\/p>\n<p>You can use a pencil to mark your path. then just rub your work out so the next person can enjoy it.<\/p>\n<p>Please, share your solutions on twitter using the #adventSTEAM<br \/>\nWe are looking forward to seeing what you\u2019ve come up with!<\/p>\n<\/div><\/div><\/div><style type=\"text\/css\">\n\t\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .heading-link:hover .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box:hover .heading-link .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-link-icon-hover .heading .icon i.circle-yes,\n\t\t\t\t\t\t.fusion-content-boxes-2 .fusion-content-box-hover .link-area-box-hover .heading .icon i.circle-yes {\n\t\t\t\t\t\t\tbackground-color: #e9a825 !important;\n\t\t\t\t\t\t\tborder-color: #e9a825 !important;\n\t\t\t\t\t\t}<\/style><div class=\"fusion-clearfix\"><\/div><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"border-color:#eaeaea;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div ><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"219\" height=\"300\" title=\"William_Rowan_Hamilton_portrait_oval_combined\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/William_Rowan_Hamilton_portrait_oval_combined-219x300.png\" class=\"img-responsive wp-image-9255\" srcset=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/William_Rowan_Hamilton_portrait_oval_combined-200x275.png 200w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/William_Rowan_Hamilton_portrait_oval_combined.png 373w\" sizes=\"(max-width: 1024px) 100vw, (max-width: 640px) 100vw, 219px\" \/><\/span><\/div><style type=\"text\/css\">.fusion-accordian  #accordion-9251-1 .panel-title a .fa-fusion-box{ color: #ffffff;}.fusion-accordian  #accordion-9251-1 .panel-title a .fa-fusion-box:before{ font-size: 13px; width: 13px;}.fusion-accordian  #accordion-9251-1 .panel-title a{font-size:18px;}.fusion-accordian  #accordion-9251-1 .fa-fusion-box { background-color: #191919;border-color: #191919;}.fusion-accordian  #accordion-9251-1 .panel-title a:hover, #accordion-9251-1 .fusion-toggle-boxed-mode:hover .panel-title a { color: #e9a825;}.fusion-accordian  #accordion-9251-1 .panel-title .active .fa-fusion-box,.fusion-accordian  #accordion-9251-1 .panel-title a:hover .fa-fusion-box { background-color: #e9a825!important;border-color: #e9a825!important;}<\/style><div class=\"accordian fusion-accordian\"><div class=\"panel-group\" id=\"accordion-9251-1\"><div class=\"fusion-panel panel-default\"><div class=\"panel-heading\"><h4 class=\"panel-title toggle\"><a aria-expanded=\"false\" aria-controls=\"5c16e937107cc35a4\" role=\"button\" data-toggle=\"collapse\" data-parent=\"#accordion-9251-1\" data-target=\"#5c16e937107cc35a4\" href=\"#5c16e937107cc35a4\"><span class=\"fusion-toggle-icon-wrapper\" aria-hidden=\"true\"><i class=\"fa-fusion-box\" aria-hidden=\"true\"><\/i><\/span><span class=\"fusion-toggle-heading\">William Rowan Hamilton (click for more)<\/span><\/a><\/h4><\/div><div id=\"5c16e937107cc35a4\" class=\"panel-collapse collapse \"><div class=\"panel-body toggle-content fusion-clearfix\">\n<p>Sir William Rowan Hamilton was born in Dublin, Ireland, in 1805 and died there in 1865 . He was a child prodigy, reportedly speaking a dozen languages before his teens. He wrote poetry and was friends with the great English poets William Wordsworth and Samuel Coleridge. Wordsworth, however, kindly advised him to concentrate on mathematics.<\/p>\n<p>He was the royal astronomer for Ireland and worked and lived at Dunsink Observatory five miles north of Dublin city center. One day while walking along the Royal Canal in Dublin on his way to chair a meeting of the Royal Irish Academy he had a flash of inspiration and saw the solution of a problem that he had been working on for many years. Hamilton had been trying to extend the concept of complex numbers to higher dimensions. His solution became known as the quaternions.<\/p>\n<p>The quaternions have experienced a resurgence in popularity in recent years with applications in many areas of mechanics, particularly in robotics and astronomy. However, it is their role in 3D animation in movies and computer games that has breathed new life into these equations. In a famous act of mathematical vandalism, Dr. Hamilton carved the equations of the quaternions on Broome Bridge on the Oct. 16, 1843. This famous event has been commemorated with a visit to the scene of the crime on the Oct. 16 for many years.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><style type=\"text\/css\">.fusion-body .fusion-builder-column-0{width:66.666666666667% !important;margin-top : 0px;margin-bottom : 20px;}.fusion-builder-column-0 > .fusion-column-wrapper {padding-top : 0px !important;padding-right : 0px !important;margin-right : 2.88%;padding-bottom : 0px !important;padding-left : 0px !important;margin-left : 2.88%;}@media only screen and (max-width:1024px) {.fusion-body .fusion-builder-column-0{width:100% !important;order : 0;}.fusion-builder-column-0 > .fusion-column-wrapper {margin-right : 1.92%;margin-left : 1.92%;}}@media only screen and (max-width:640px) {.fusion-body .fusion-builder-column-0{width:100% !important;order : 0;}.fusion-builder-column-0 > .fusion-column-wrapper {margin-right : 1.92%;margin-left : 1.92%;}}<\/style><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_3 1_3 fusion-flex-column\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;padding: 0px 0px 0px 0px;\"><div ><a class=\"fusion-button button-flat fusion-button-default-size button-orange button-1 fusion-button-default-span fusion-button-default-type\" target=\"_self\" href=\"https:\/\/www.mathsweek.ie\/2025\/00resources\/\"><span class=\"fusion-button-text\">Back to Resources<\/span><\/a><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-bottom:60px;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"border-color:#eaeaea;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div ><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none\"><img decoding=\"async\" width=\"400\" height=\"419\" title=\"Screenshot 2020-12-15 at 16.06.58\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.58-400x419.png\" class=\"img-responsive wp-image-9254\" srcset=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.58-200x209.png 200w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.58-400x419.png 400w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.58-600x628.png 600w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/12\/Screenshot-2020-12-15-at-16.06.58.png 648w\" sizes=\"(max-width: 1024px) 100vw, (max-width: 640px) 100vw, 400px\" \/><\/span><\/div><div class=\"fusion-separator fusion-full-width-sep\" style=\"align-self: center;margin-left: auto;margin-right: auto;margin-bottom:60px;width:100%;\"><div class=\"fusion-separator-border sep-double\" style=\"border-color:#eaeaea;border-top-width:1px;border-bottom-width:1px;\"><\/div><\/div><div class=\"fusion-flip-boxes flip-boxes row fusion-columns-1 flip-effect-classic\"><div class=\"fusion-flip-box-wrapper fusion-column col-lg-12 col-md-12 col-sm-12\"><div class=\"fusion-flip-box flip-right\" tabindex=\"0\"><div class=\"flip-box-inner-wrapper\"><div class=\"flip-box-front\" style=\"background-color:#f2f2f2;border-color:rgba(255,255,255,0);border-radius:4px;border-style:solid;border-width:1px;color:#707070;transition-duration:0.4s;\"><div class=\"flip-box-front-inner\"><h2 class=\"flip-box-heading without-text\" style=\"color:#191919;\">What\u2019s behind? STEM tips<\/h2><\/div><\/div><div class=\"flip-box-back\" style=\"background-color:#e9a825;border-color:rgba(255,255,255,0);border-radius:4px;border-style:solid;border-width:1px;color:#ffffff;transition-duration:0.4s;\"><div class=\"flip-box-back-inner\">\n<p><strong>What\u2019s behind? STEM tips<\/strong><\/p>\n<p>In a world based on this dodecahedral graph, a traveler must visit 20 cities, without revisiting any of them. Today, when such a trip makes a loop through all the vertices, or corners, of the graph, it is called a Hamiltonian tour (or cycle). When the first and last vertices in a trip are not connected, it is called a Hamiltonian path (or trail).<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><style type=\"text\/css\">.fusion-body .fusion-builder-column-1{width:33.333333333333% !important;margin-top : 0px;margin-bottom : 20px;}.fusion-builder-column-1 > .fusion-column-wrapper {padding-top : 0px !important;padding-right : 0px !important;margin-right : 5.76%;padding-bottom : 0px !important;padding-left : 0px !important;margin-left : 5.76%;}@media only screen and (max-width:1024px) {.fusion-body .fusion-builder-column-1{width:100% !important;order : 0;}.fusion-builder-column-1 > .fusion-column-wrapper {margin-right : 1.92%;margin-left : 1.92%;}}@media only screen and (max-width:640px) {.fusion-body .fusion-builder-column-1{width:100% !important;order : 0;}.fusion-builder-column-1 > .fusion-column-wrapper {margin-right : 1.92%;margin-left : 1.92%;}}<\/style><\/div><\/div><style type=\"text\/css\">.fusion-body .fusion-flex-container.fusion-builder-row-1{ padding-top : 0px;margin-top : 0px;padding-right : 0px;padding-bottom : 0px;margin-bottom : 0px;padding-left : 0px;}<\/style><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_vp_format_video_url":"","_vp_image_focal_point":[],"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[364],"tags":[299,338,365,367,405,397,406,234],"class_list":["post-9251","post","type-post","status-publish","format-standard","hentry","category-advent","tag-hamilton","tag-maths","tag-advent","tag-adventstem","tag-icosian","tag-puzzle","tag-route-planner","tag-steam"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Santa\u2019s Path &#8211; MATHS WEEK IRELAND<\/title>\n<meta name=\"description\" content=\"Maths Week will take place from 11 - 29 Oct. 2025. 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