{"id":7544,"date":"2020-06-24T11:09:34","date_gmt":"2020-06-24T11:09:34","guid":{"rendered":"https:\/\/www.mathsweek.ie\/2019\/?p=7544"},"modified":"2024-09-05T12:21:30","modified_gmt":"2024-09-05T12:21:30","slug":"the-magic-of-mobius-strips","status":"publish","type":"post","link":"https:\/\/www.mathsweek.ie\/2025\/the-magic-of-mobius-strips\/","title":{"rendered":"Magic of Mobius Strips"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;margin-bottom: 0px;margin-top: 0px;border-width: 0px 0px 0px 0px;border-color:#eaeaea;border-style:solid;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-first\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-right: 4%;margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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\"><\/style><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\" style=\"margin-top:0%;margin-right:0px;margin-bottom:30px;margin-left:0px;\"><h1 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;--fontSize:50;line-height:1.2;\">The Magic of M\u00f6bius Strips<\/h1><\/div><div class=\"fusion-button-wrapper\"><a class=\"fusion-button button-flat button-small button-orange button-1 fusion-button-span-no fusion-button-default-type\" target=\"_self\" href=\"#activitiestop\"><span class=\"fusion-button-text\">Back to Top<\/span><\/a><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-last\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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: 30px 0px 0px 0px;\"><div class=\"fusion-text fusion-text-1\"><h5>For: Nice activity for primary pupils but will amaze all ages<\/h5>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-first\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-right: 4%;margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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 class=\"fusion-text fusion-text-2\"><p>Thursday 26\/03\/20<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-last\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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 class=\"fusion-text fusion-text-3\"><p>Hands-on activity: a Mobius Strip is an object that defies common sense and has some curious mathematical properties<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-first\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-right: 4%;margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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;\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"350\" height=\"257\" title=\"Mobius Materials\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-Materials-e1585159426169.jpg\" class=\"img-responsive wp-image-6326\" srcset=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-Materials-e1585159426169-200x147.jpg 200w, https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-Materials-e1585159426169.jpg 350w\" sizes=\"(max-width: 800px) 100vw, 350px\" \/><\/span><span class=\" fusion-imageframe imageframe-none imageframe-2 hover-type-none\"><img decoding=\"async\" width=\"300\" height=\"300\" title=\"Mobius Strip\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-Strip-300x300.jpg\" class=\"img-responsive wp-image-6329\"\/><\/span><span class=\" fusion-imageframe imageframe-none imageframe-3 hover-type-none\"><img decoding=\"async\" width=\"350\" height=\"350\" title=\"Mobius Strip 1 cut\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-Strip-1-cut-e1585159324217.jpg\" class=\"img-responsive wp-image-6327\"\/><\/span><span class=\" fusion-imageframe imageframe-none imageframe-4 hover-type-none\"><img decoding=\"async\" width=\"350\" height=\"350\" title=\"Mobius Strip 2 cut\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/MObius-Strip-2-cut-e1585159664700.jpg\" class=\"img-responsive wp-image-6328\"\/><\/span><span class=\" fusion-imageframe imageframe-none imageframe-5 hover-type-none\"><img decoding=\"async\" width=\"350\" height=\"350\" title=\"Mobius two Strips\" src=\"https:\/\/www.mathsweek.ie\/2025\/wp-content\/uploads\/2020\/03\/Mobius-two-Strips-e1585159603493.jpg\" class=\"img-responsive wp-image-6331\"\/><\/span><div class=\"fusion-text fusion-text-4\"><p>The \u00a0M\u00f6bius Strip is called after German Mathematician <a href=\"https:\/\/en.wikipedia.org\/wiki\/August_Ferdinand_M%C3%B6bius\" target=\"_blank\" rel=\"noopener noreferrer\">August Ferdinand M\u00f6bius<\/a> (1790 \u2013 1868) but it is believed to have been known in Roman times.<\/p>\n<p>You can see our friend Douglas Buchanan\u2019s expert demonstration of\u00a0 M\u00f6bius Strips.<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-5 fusion_builder_column_1_2 1_2 fusion-one-half fusion-column-last\" style=\"width:50%;width:calc(50% - ( ( 4% ) * 0.5 ) );margin-top:0px;margin-bottom:20px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\" 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 class=\"fusion-text fusion-text-5\"><p>What you will need:<\/p>\n<ul>\n<li>Paper<\/li>\n<li>Ruler<\/li>\n<li>Pencil<\/li>\n<li>Scissors<\/li>\n<li>Sellotape<\/li>\n<\/ul>\n<\/div><div class=\"fusion-text fusion-text-6\"><p>INSTRUCTIONS:<\/p>\n<ol>\n<li>Cut a strip of paper approximately 30 cm long and 4 cm wide. (Divide an A4 page into 5 long strips)<\/li>\n<li>With a pencil and ruler draw a dashed line along the centre of the strip, lengthways<\/li>\n<li>You are going to join the two narrow ends of the paper together but first make a half a twist with one end.<\/li>\n<li>Tape the two ends together. This is called a M\u00f6bius Strip<\/li>\n<li>Trace along the centre of the strip: do you come back to where you started?<\/li>\n<\/ol>\n<p>In Mathematics the M\u00f6bius Strip is considered to have only one side, because you can travel around a M\u00f6bius Strip and arraive back at your starting point.<\/p>\n<\/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-link-icon icon-hover-animation-fade\" style=\"background-color:rgba(247,242,140,0.97);\" data-animationOffset=\"100%\"><div class=\"heading icon-left\"><h4 class=\"content-box-heading\" style=\"font-size:23px;line-height:28px;\">Extensions<\/h4><\/div><div class=\"fusion-clearfix\"><\/div><div class=\"content-container\" style=\"color:#707070;\">\n<p>Activity 2<\/p>\n<ol>\n<li>With a scissors cut along the centre of the M\u00f6bius Strip. First predict what you expect to end up with.<\/li>\n<li>Use another strip of paper and create another M\u00f6bius Strip. This time instead of cutting it along the centre, cut in into three strips. First predict what will happen.<\/li>\n<\/ol>\n<p>Q. What is the relationship between the larger loop and the M\u00f6bius Strip?<\/p>\n<p>Activity 3:<\/p>\n<ol>\n<li>Tape two strips of paper on top of each other to form an X shape<\/li>\n<li>Create the first loop by taping the two narrow ends together normally<\/li>\n<li>With the other loop,tape the narrow ends together with a half a twist<\/li>\n<li>Cut the m\u00f6bius strip in half, going over the intersection of the two strips too.<\/li>\n<li>Next cut along the centre of the normal loop.<\/li>\n<\/ol>\n<p>Q What shape are you left with this time?<\/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-text fusion-text-7 fusion-no-small-visibility\"><div class=\"fb-video\" data-allowfullscreen=\"true\" data-href=\"https:\/\/www.facebook.com\/MathsWeek\/videos\/506002353109471\/\" style=\"background-color: #fff; display: inline-block;\"><\/div>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/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":[286,287,263,261,44,262],"tags":[279,276,278,280,277],"class_list":["post-7544","post","type-post","status-publish","format-standard","hentry","category-age-8-12","category-age-12-16","category-family","category-primary","category-resources","category-secondary","tag-art","tag-geometry","tag-home-school","tag-mobius","tag-recreational"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Magic of Mobius Strips &#8211; MATHS WEEK IRELAND<\/title>\n<meta name=\"description\" content=\"Maths Week will take place from 11 - 29 Oct. 2025. 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