{"id":996,"date":"2023-09-22T17:25:09","date_gmt":"2023-09-22T15:25:09","guid":{"rendered":"https:\/\/fabiomelicianiscience.com\/?p=996"},"modified":"2023-09-26T17:18:56","modified_gmt":"2023-09-26T15:18:56","slug":"tessellation","status":"publish","type":"post","link":"https:\/\/www.din.usi.ch\/blog\/2023\/09\/22\/tessellation\/","title":{"rendered":"Tessellation"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"996\" class=\"elementor elementor-996\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-13acb9d4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"13acb9d4\" data-element_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-2a57a036\" data-id=\"2a57a036\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44a50013 elementor-widget elementor-widget-text-editor\" data-id=\"44a50013\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>A <a href=\"https:\/\/en.wikipedia.org\/wiki\/Tessellation\"><b>TESSELLATION<\/b><\/a> is the periodic repetition of the same figure covering a plane without overlapping or holes. The figures used to cover the surface, tessellations, are often polygons, regular or not, but they can also have curved sides or be without any vertices. Below are some &#8220;regular&#8221; tessellations in that they each use only one geometric shape:<\/p>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-389e1a3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"389e1a3\" data-element_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-25 elementor-top-column elementor-element elementor-element-a68293a\" data-id=\"a68293a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4e918ab elementor-widget elementor-widget-image\" data-id=\"4e918ab\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"290\" height=\"255\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_4.png\" class=\"attachment-large size-large wp-image-1033\" alt=\"\" \/>\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-25 elementor-top-column elementor-element elementor-element-00ca3e4\" data-id=\"00ca3e4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7861366 elementor-widget elementor-widget-image\" data-id=\"7861366\" data-element_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\" loading=\"lazy\" width=\"285\" height=\"255\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/tessellation_3.png\" class=\"attachment-large size-large wp-image-1032\" alt=\"\" \/>\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-25 elementor-top-column elementor-element elementor-element-295c5b5\" data-id=\"295c5b5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1831c2b elementor-widget elementor-widget-image\" data-id=\"1831c2b\" data-element_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\" loading=\"lazy\" width=\"295\" height=\"275\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/TESSELLATION_2.png\" class=\"attachment-large size-large wp-image-1031\" alt=\"\" \/>\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-25 elementor-top-column elementor-element elementor-element-d45a3ba\" data-id=\"d45a3ba\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cff3541 elementor-widget elementor-widget-image\" data-id=\"cff3541\" data-element_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\" loading=\"lazy\" width=\"270\" height=\"265\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/TESSELLATION_1.png\" class=\"attachment-large size-large wp-image-1030\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/TESSELLATION_1.png 270w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/TESSELLATION_1-50x50.png 50w\" sizes=\"(max-width: 270px) 100vw, 270px\" \/>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-00def78 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"00def78\" data-element_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-9a6bd9b\" data-id=\"9a6bd9b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-550d678 elementor-widget elementor-widget-text-editor\" data-id=\"550d678\" data-element_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<p>In 1974 <b><a href=\"https:\/\/en.wikipedia.org\/wiki\/Penrose_tiling\" target=\"_blank\" rel=\"noopener\">Roger Penrose<\/a><\/b> and Robert Ammann discovered various irregular tessellations, that is, making use of multiple geometric figures in a single tessellation, including the <b>kite<\/b> and the <b>dart<\/b>:<\/p>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a55f9db elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a55f9db\" data-element_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-50 elementor-top-column elementor-element elementor-element-0149c5e\" data-id=\"0149c5e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f3fb8fd elementor-widget elementor-widget-image\" data-id=\"f3fb8fd\" data-element_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\" loading=\"lazy\" width=\"338\" height=\"212\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_5.png\" class=\"attachment-ect-featured-content size-ect-featured-content wp-image-1051\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_5.png 338w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_5-300x188.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/>\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-50 elementor-top-column elementor-element elementor-element-9288cd5\" data-id=\"9288cd5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3ebf289 elementor-widget elementor-widget-image\" data-id=\"3ebf289\" data-element_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\" loading=\"lazy\" width=\"254\" height=\"252\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_6.png\" class=\"attachment-ect-featured-content size-ect-featured-content wp-image-1052\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_6.png 254w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_6-150x150.png 150w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/Tessellation_6-50x50.png 50w\" sizes=\"(max-width: 254px) 100vw, 254px\" \/>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ba4eb8c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ba4eb8c\" data-element_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-dca044a\" data-id=\"dca044a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a5a6dd3 elementor-widget__width-initial elementor-widget elementor-widget-heading\" data-id=\"a5a6dd3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">How to play<\/h2>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2a13df1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2a13df1\" data-element_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-7da9632\" data-id=\"7da9632\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd996a1 elementor-widget elementor-widget-text-editor\" data-id=\"cd996a1\" data-element_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<p>It is the periodic repetition of the same figure covering the floor without overlapping or holes. Your floor could be an example of this. It is easy to tessellate a floor with rectangular, hexagonal tiles or triangular by replicating the same figure in different positions. But what if you have edges, can you tessellate? Choose shapes and combine them to cover the whole plane, you will find that there are different ways to tessellate, but traceable to two types of tessellation:<\/p><p>A tessellation is <b>PERIODIC<\/b> if it involves regular repetition of the tessellation, which in such cases is always a polygon. A polygon, regular or irregular, tessellates if its interior angle is submultiple of an angle of 360\u00b0. Which polygons tessellate? Does a regular pentagon tessellate the plane?<\/p><p>A tessellation is <b>NON PERIODIC<\/b> if it is impossible to detect a pattern that repeats itself identically indefinitely, even if at first glance it appears to be there. Among the most famous tessellations that generate nonperiodic tessellations are those of the mathematician Penrose, the arrow and the kite, made from a rhombus with angles of 72\u00b0 and 108\u00b0.<\/p>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-73266de elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"73266de\" data-element_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-ee84257\" data-id=\"ee84257\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-75cc134 elementor-arrows-position-inside elementor-pagination-position-outside elementor-widget elementor-widget-image-carousel\" data-id=\"75cc134\" data-element_type=\"widget\" data-settings=\"{&quot;slides_to_show&quot;:&quot;2&quot;,&quot;image_spacing_custom&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:0,&quot;sizes&quot;:[]},&quot;navigation&quot;:&quot;both&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;pause_on_hover&quot;:&quot;yes&quot;,&quot;pause_on_interaction&quot;:&quot;yes&quot;,&quot;autoplay_speed&quot;:5000,&quot;infinite&quot;:&quot;yes&quot;,&quot;speed&quot;:500,&quot;image_spacing_custom_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;image_spacing_custom_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"image-carousel.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-image-carousel .swiper,.elementor-widget-image-carousel .swiper-container{position:static}.elementor-widget-image-carousel .swiper-container .swiper-slide figure,.elementor-widget-image-carousel .swiper .swiper-slide figure{line-height:inherit}.elementor-widget-image-carousel .swiper-slide{text-align:center}.elementor-image-carousel-wrapper:not(.swiper-container-initialized):not(.swiper-initialized) .swiper-slide{max-width:calc(100% \/ var(--e-image-carousel-slides-to-show, 3))}<\/style>\t\t<div class=\"elementor-image-carousel-wrapper swiper-container\" dir=\"ltr\">\n\t\t\t<div class=\"elementor-image-carousel swiper-wrapper swiper-image-stretch\" aria-live=\"off\">\n\t\t\t\t\t\t\t\t<div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"1 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_1\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyMSwidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzEuanBnIiwic2xpZGVzaG93IjoiNzVjYzEzNCJ9\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_1.jpg\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_1-640x640.jpg\" alt=\"PHOTO_tessellation_1\" \/><\/figure><\/a><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"2 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_2\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyMiwidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzItc2NhbGVkLmpwZyIsInNsaWRlc2hvdyI6Ijc1Y2MxMzQifQ%3D%3D\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_2-scaled.jpg\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_2-640x640.jpg\" alt=\"PHOTO_tessellation_2\" \/><\/figure><\/a><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"3 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_3\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyMywidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzMtc2NhbGVkLmpwZyIsInNsaWRlc2hvdyI6Ijc1Y2MxMzQifQ%3D%3D\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_3-scaled.jpg\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_3-640x640.jpg\" alt=\"PHOTO_tessellation_3\" \/><\/figure><\/a><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"4 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_4\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyNCwidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzQtc2NhbGVkLmpwZyIsInNsaWRlc2hvdyI6Ijc1Y2MxMzQifQ%3D%3D\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_4-scaled.jpg\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_4-640x640.jpg\" alt=\"PHOTO_tessellation_4\" \/><\/figure><\/a><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"5 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_5\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyNSwidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzUucG5nIiwic2xpZGVzaG93IjoiNzVjYzEzNCJ9\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_5.png\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_5-640x640.png\" alt=\"PHOTO_tessellation_5\" \/><\/figure><\/a><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"6 of 6\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"75cc134\" data-elementor-lightbox-title=\"PHOTO_tessellation_6\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTAyNiwidXJsIjoiaHR0cHM6XC9cL3d3dy5kaW4udXNpLmNoXC9ibG9nXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDIzXC8wOVwvUEhPVE9fdGVzc2VsbGF0aW9uXzYucG5nIiwic2xpZGVzaG93IjoiNzVjYzEzNCJ9\" href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_6.png\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/PHOTO_tessellation_6-640x556.png\" alt=\"PHOTO_tessellation_6\" \/><\/figure><\/a><\/div>\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-swiper-button elementor-swiper-button-prev\" role=\"button\" tabindex=\"0\">\n\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-angle-double-left\"><\/i>\t\t\t\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-swiper-button elementor-swiper-button-next\" role=\"button\" tabindex=\"0\">\n\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-angle-double-right\"><\/i>\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"swiper-pagination\"><\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-594c62a elementor-tabs-view-horizontal elementor-widget elementor-widget-tabs\" data-id=\"594c62a\" data-element_type=\"widget\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tabs-wrapper{width:25%;flex-shrink:0}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tab-desktop-title.elementor-active{border-right-style:none}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tab-desktop-title.elementor-active:after,.elementor-widget-tabs.elementor-tabs-view-vertical 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.elementor-tab-desktop-title.elementor-active:before{right:100%}.elementor-widget-tabs.elementor-tabs-view-horizontal .elementor-tab-desktop-title.elementor-active:after{left:100%}.elementor-widget-tabs .elementor-tab-content,.elementor-widget-tabs .elementor-tab-title,.elementor-widget-tabs .elementor-tab-title:after,.elementor-widget-tabs .elementor-tab-title:before,.elementor-widget-tabs .elementor-tabs-content-wrapper{border:1px #d5d8dc}.elementor-widget-tabs .elementor-tabs{text-align:left}.elementor-widget-tabs .elementor-tabs-wrapper{overflow:hidden}.elementor-widget-tabs .elementor-tab-title{cursor:pointer;outline:var(--focus-outline,none)}.elementor-widget-tabs .elementor-tab-desktop-title{position:relative;padding:20px 25px;font-weight:700;line-height:1;border:solid transparent}.elementor-widget-tabs .elementor-tab-desktop-title.elementor-active{border-color:#d5d8dc}.elementor-widget-tabs .elementor-tab-desktop-title.elementor-active:after,.elementor-widget-tabs .elementor-tab-desktop-title.elementor-active:before{display:block;content:\"\";position:absolute}.elementor-widget-tabs .elementor-tab-desktop-title:focus-visible{border:1px solid #000}.elementor-widget-tabs .elementor-tab-mobile-title{padding:10px;cursor:pointer}.elementor-widget-tabs .elementor-tab-content{padding:20px;display:none}@media (max-width:767px){.elementor-tabs .elementor-tab-content,.elementor-tabs .elementor-tab-title{border-style:solid solid none}.elementor-tabs .elementor-tabs-wrapper{display:none}.elementor-tabs .elementor-tabs-content-wrapper{border-bottom-style:solid}.elementor-tabs .elementor-tab-content{padding:10px}}@media (min-width:768px){.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tabs{display:flex}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tabs-wrapper{flex-direction:column}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tabs-content-wrapper{flex-grow:1;border-style:solid solid solid none}.elementor-widget-tabs.elementor-tabs-view-horizontal .elementor-tab-content{border-style:none solid solid}.elementor-widget-tabs.elementor-tabs-alignment-center .elementor-tabs-wrapper,.elementor-widget-tabs.elementor-tabs-alignment-end .elementor-tabs-wrapper,.elementor-widget-tabs.elementor-tabs-alignment-stretch .elementor-tabs-wrapper{display:flex}.elementor-widget-tabs.elementor-tabs-alignment-center .elementor-tabs-wrapper{justify-content:center}.elementor-widget-tabs.elementor-tabs-alignment-end .elementor-tabs-wrapper{justify-content:flex-end}.elementor-widget-tabs.elementor-tabs-alignment-stretch.elementor-tabs-view-horizontal .elementor-tab-title{width:100%}.elementor-widget-tabs.elementor-tabs-alignment-stretch.elementor-tabs-view-vertical .elementor-tab-title{height:100%}.elementor-tabs .elementor-tab-mobile-title{display:none}}<\/style>\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9361\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\">FOR TEACHER<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9362\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\">FOR SCIENTIFIC EXPLAINER<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9363\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9363\" aria-expanded=\"false\">ASSEMBLY SHEET<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9364\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9364\" aria-expanded=\"false\">CURIOSITIES<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\">FOR TEACHER<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9361\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9361\" tabindex=\"0\" hidden=\"false\"><p><b><span style=\"color: #00ff00;\">Teaching links:<\/span><\/b> <b>GEOMETRY<\/b> &#8211; Covering the plane or space with repeating regular figures is a classic problem in geometry, even before it was an artistic one. It involves a whole range of geometric concepts such as reflections, rotations, translations and, not least, the golden section. More generally, objects such as the tangram\/stomachion, the magic square, the Tower of Hanoi, and the tessellated plane put systems with very precise rules into game form, allowing a whole series of results that are often invisible at the outset to be deduced and thus predicted with certainty. Although this does not make them trivial or easy to solve (the case of Stomachion is emblematic). Quite the opposite of games based on chance, such as games of chance.<\/p><p><b><span style=\"color: #00ff00;\">Teaching links: <\/span><\/b><b>PHILOSOPHY &#8211; <\/b>What Aristotle began more than 2,000 years ago, a team of 30 undergraduate students at the Massachusetts Institute of Technology is continuing now. They are starting with a recent mathematical result that has breathed new life into the age-old hunt for geometric shapes that can tessellate, that is, perfectly fill, three-dimensional space. &#8220;It is exciting to know that some of the greatest minds of all time have been working on this topic.<b><br \/><\/b><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\">FOR SCIENTIFIC EXPLAINER<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9362\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9362\" tabindex=\"0\" hidden=\"hidden\"><p>Playing floor tessellation can be a very rewarding experience, for young and old alike. Often a time for parents and children to have fun together, the advice is to foster these moments, starting with the simple tessellation exercise, you can then ask them to explore more original, artistic solutions, and only at the end, only when the experience has been enjoyed, will it be possible to also tell about the mathematics behind it. <\/p><p>Some figures, e.g. triangle, square, rectangle, hexagon, etc., allow us to make a complete tessellation, while others do not. How come? And how can the result be predicted? Mathematics helps us: in general, it is enough to add up the amplitudes of the angles formed at any of the meeting points of the tessellations to figure it out. If the result of adding the amplitudes of these angles is other than 360\u00b0, it will not be possible to make a complete tessellation, otherwise yes. If we then impose for the whole tessellation the use of only one regular polygon, that is, with equal sides and angles, we have only 3 possible configurations. In fact, in this case the measure of the angles of the tessellation will have to be an integer divisor of 360\u00b0and therefore only the equilateral triangle (60\u00b0), the square (90\u00b0) and the regular hexagon (120\u00b0) will do.<\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9363\" aria-expanded=\"false\">ASSEMBLY SHEET<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9363\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9363\" tabindex=\"0\" hidden=\"hidden\"><p><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/DIN_TESSELLATION_assembly_sheet.pdf\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-1038 size-full\" src=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/DIN_TESSELLATION_assembly_sheet.jpg\" alt=\"\" width=\"2481\" height=\"1754\" \/><\/a><\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9364\" aria-expanded=\"false\">CURIOSITIES<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9364\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9364\" tabindex=\"0\" hidden=\"hidden\"><p>In nature there are infinite tessellations, that is, whose basic geometric shape is continuously repeated. An example is the hexagon in the bee hive:<\/p><p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-1060 size-full\" src=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/hive_2.jpg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/hive_2.jpg 800w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/hive_2-300x225.jpg 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/hive_2-768x576.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p><p>Dutch artist <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/it.wikipedia.org\/wiki\/Maurits_Cornelis_Escher\">Maurits Cornelis Escher<\/a> <\/span>is famous for his tessellations that often depict animals such as fish, birds, and horses.<\/p><p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-1059 size-full\" src=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/escher_2.jpg\" alt=\"\" width=\"1023\" height=\"610\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/escher_2.jpg 1023w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/escher_2-300x179.jpg 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/escher_2-768x458.jpg 768w\" sizes=\"(max-width: 1023px) 100vw, 1023px\" \/><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b34c165 elementor-widget elementor-widget-spacer\" data-id=\"b34c165\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-column .elementor-spacer-inner{height:var(--spacer-size)}.e-con{--container-widget-width:100%}.e-con-inner>.elementor-widget-spacer,.e-con>.elementor-widget-spacer{width:var(--container-widget-width,var(--spacer-size));--align-self:var(--container-widget-align-self,initial);--flex-shrink:0}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container,.e-con>.elementor-widget-spacer>.elementor-widget-container{height:100%;width:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer{height:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner{height:var(--container-widget-height,var(--spacer-size))}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty,.e-con>.elementor-widget-spacer.elementor-widget-empty{position:relative;min-height:22px;min-width:22px}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon,.e-con>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon{position:absolute;top:0;bottom:0;left:0;right:0;margin:auto;padding:0;width:22px;height:22px}<\/style>\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c2a37e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c2a37e8\" data-element_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-d0b5d0b\" data-id=\"d0b5d0b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b20529 elementor-widget elementor-widget-heading\" data-id=\"2b20529\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">How to build<\/h2>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-25047f7 elementor-section-full_width elementor-section-content-space-between elementor-section-height-default elementor-section-height-default\" data-id=\"25047f7\" data-element_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-50 elementor-top-column elementor-element elementor-element-22cb463\" data-id=\"22cb463\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1f14f81 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"1f14f81\" data-element_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<h6><strong>EXHIBIT MATERIAL:<\/strong><\/h6><ul><li>no. 2 base pallet 120&#215;180 cm<\/li><li>Moulds for tessellation (in MDF)<br \/>according to drawing, as desired in<br \/>colors, but in the shapes indicated (10 cm side): <b>kites, darts, equilateral triangles, regular pentagons, right triangles, scalene triangles. <\/b><\/li><\/ul><ul><li>Red MDF frame<\/li><li>no. 2 honeycomb cardboard<br \/>shelves (100x140cm)x2<\/li><li>no. 4 cardboard panels (40x15cm)<br \/>with descriptions of different types<br \/>of dowel<\/li><\/ul>\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-50 elementor-top-column elementor-element elementor-element-65bce36\" data-id=\"65bce36\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f9896a3 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"f9896a3\" data-element_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<p><strong><span style=\"color: #333333; font-size: 17px; text-transform: uppercase;\">CLICK AND DOWNLOAD PRINT-READY .PDF FILES:<\/span><\/strong><\/p><ul><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/Pavimentazioni_spiega1_40x15.pdf\">CARDBOARD PANEL 1 (ITA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/Pavimentazioni_spiega2_40x15.pdf\">CARDBOARD PANEL 2 (ITA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/Pavimentazioni_spiega3_40x15.pdf\">CARDBOARD PANEL 3 (ITA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/Pavimentazioni_spiega4_40x15.pdf\">CARDBOARD PANEL 4 (ITA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/FRA_tessellation_panel_1_40x15.pdf\">CARDBOARD PANEL 1 (FRA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/FRA_tessellation_panel_2_40x15.pdf\">CARDBOARD PANEL 2 (FRA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/FRA_tessellation_panel_3_40x15.pdf\">CARDBOARD PANEL 3 (FRA) 40&#215;15 cm<\/a><\/li><li><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/09\/FRA_tessellation_panel_4_40x15.pdf\">CARDBOARD PANEL 4 (FRA) 40&#215;15 cm<\/a><\/li><\/ul>\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4945b76 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4945b76\" data-element_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-e89cedf\" data-id=\"e89cedf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ee8b3e4 elementor-widget elementor-widget-gallery\" data-id=\"ee8b3e4\" data-element_type=\"widget\" data-settings=\"{&quot;gallery_layout&quot;:&quot;masonry&quot;,&quot;columns&quot;:2,&quot;gap&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:100,&quot;sizes&quot;:[]},&quot;overlay_description&quot;:&quot;caption&quot;,&quot;lazyload&quot;:&quot;yes&quot;,&quot;columns_tablet&quot;:2,&quot;columns_mobile&quot;:1,&quot;gap_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;gap_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;overlay_background&quot;:&quot;yes&quot;,&quot;content_hover_animation&quot;:&quot;fade-in&quot;}\" data-widget_type=\"gallery.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor-pro - v3.16.0 - 20-09-2023 *\/\n.elementor-gallery__container{min-height:1px}.elementor-gallery-item{position:relative;overflow:hidden;display:block;text-decoration:none;border:solid var(--image-border-width) var(--image-border-color);border-radius:var(--image-border-radius)}.elementor-gallery-item__content,.elementor-gallery-item__overlay{height:100%;width:100%;position:absolute;top:0;left:0}.elementor-gallery-item__overlay{mix-blend-mode:var(--overlay-mix-blend-mode);transition-duration:var(--overlay-transition-duration);transition-property:mix-blend-mode,transform,opacity,background-color}.elementor-gallery-item__image.e-gallery-image{transition-duration:var(--image-transition-duration);transition-property:filter,transform}.elementor-gallery-item__content{display:flex;flex-direction:column;justify-content:var(--content-justify-content,center);align-items:center;text-align:var(--content-text-align);padding:var(--content-padding)}.elementor-gallery-item__content>div{transition-duration:var(--content-transition-duration)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(2){transition-delay:calc(var(--content-transition-delay) \/ 3)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(3){transition-delay:calc(var(--content-transition-delay) \/ 3 * 2)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(4){transition-delay:calc(var(--content-transition-delay) \/ 3 * 3)}.elementor-gallery-item__description{color:var(--description-text-color,#fff);width:100%}.elementor-gallery-item__title{color:var(--title-text-color,#fff);font-weight:700;width:100%}.elementor-gallery__titles-container{display:flex;flex-wrap:wrap;justify-content:var(--titles-container-justify-content,center);margin-bottom:20px}.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item:after,.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item:before{background-color:var(--galleries-pointer-bg-color-hover)}.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item.elementor-item-active:after,.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item.elementor-item-active:before{background-color:var(--galleries-pointer-bg-color-active)}.elementor-gallery__titles-container.e--pointer-framed .elementor-item:before{border-color:var(--galleries-pointer-bg-color-hover);border-width:var(--galleries-pointer-border-width)}.elementor-gallery__titles-container.e--pointer-framed .elementor-item:after{border-color:var(--galleries-pointer-bg-color-hover)}.elementor-gallery__titles-container.e--pointer-framed .elementor-item.elementor-item-active:after,.elementor-gallery__titles-container.e--pointer-framed .elementor-item.elementor-item-active:before{border-color:var(--galleries-pointer-bg-color-active)}.elementor-gallery__titles-container.e--pointer-framed.e--animation-draw .elementor-item:before{border-left-width:var(--galleries-pointer-border-width);border-bottom-width:var(--galleries-pointer-border-width);border-right-width:0;border-top-width:0}.elementor-gallery__titles-container.e--pointer-framed.e--animation-draw .elementor-item:after{border-left-width:0;border-bottom-width:0;border-right-width:var(--galleries-pointer-border-width);border-top-width:var(--galleries-pointer-border-width)}.elementor-gallery__titles-container.e--pointer-framed.e--animation-corners .elementor-item:before{border-left-width:var(--galleries-pointer-border-width);border-bottom-width:0;border-right-width:0;border-top-width:var(--galleries-pointer-border-width)}.elementor-gallery__titles-container.e--pointer-framed.e--animation-corners .elementor-item:after{border-left-width:0;border-bottom-width:var(--galleries-pointer-border-width);border-right-width:var(--galleries-pointer-border-width);border-top-width:0}.elementor-gallery__titles-container .e--pointer-double-line .elementor-item:after,.elementor-gallery__titles-container .e--pointer-double-line .elementor-item:before,.elementor-gallery__titles-container .e--pointer-overline .elementor-item:before,.elementor-gallery__titles-container .e--pointer-underline .elementor-item:after{height:var(--galleries-pointer-border-width)}.elementor-gallery-title{--space-between:10px;cursor:pointer;color:#6d7882;font-weight:500;position:relative;padding:7px 14px;transition:all .3s}.elementor-gallery-title--active{color:#495157}.elementor-gallery-title:not(:last-child){margin-right:var(--space-between)}.elementor-gallery-item__title+.elementor-gallery-item__description{margin-top:var(--description-margin-top)}.e-gallery-item.elementor-gallery-item{transition-property:all}.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-bottom,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-left,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-right,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-top,.e-gallery-item:focus .elementor-gallery__item-overlay-bg,.e-gallery-item:focus .elementor-gallery__item-overlay-content,.e-gallery-item:focus .elementor-gallery__item-overlay-content__description,.e-gallery-item:focus .elementor-gallery__item-overlay-content__title,.e-gallery-item:hover .elementor-gallery__item-overlay-bg,.e-gallery-item:hover .elementor-gallery__item-overlay-content,.e-gallery-item:hover .elementor-gallery__item-overlay-content__description,.e-gallery-item:hover .elementor-gallery__item-overlay-content__title{opacity:1}a.elementor-item.elementor-gallery-title{color:var(--galleries-title-color-normal)}a.elementor-item.elementor-gallery-title.elementor-item-active,a.elementor-item.elementor-gallery-title.highlighted,a.elementor-item.elementor-gallery-title:focus,a.elementor-item.elementor-gallery-title:hover{color:var(--galleries-title-color-hover)}a.elementor-item.elementor-gallery-title.elementor-item-active{color:var(--gallery-title-color-active)}.e-con-inner>.elementor-widget-gallery,.e-con>.elementor-widget-gallery{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-gallery__container\">\n\t\t\t\t\t\t\t<div class=\"e-gallery-item elementor-gallery-item elementor-animated-content\">\n\t\t\t\t\t<div class=\"e-gallery-image elementor-gallery-item__image\" data-thumbnail=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/04\/moebelpalette-120-x-80-cm-moebelpalette-1-300x150.jpg\" data-width=\"300\" data-height=\"150\" aria-label=\"\" role=\"img\" ><\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__overlay\"><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__description\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tpallet\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"e-gallery-item elementor-gallery-item elementor-animated-content\">\n\t\t\t\t\t<div class=\"e-gallery-image elementor-gallery-item__image\" data-thumbnail=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/04\/WabenplattenGraphilite-1-300x150.jpg\" data-width=\"300\" data-height=\"150\" aria-label=\"\" role=\"img\" ><\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__overlay\"><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__description\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\thoneycomb cardboard \/ laminated honeycomb cardboard\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\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\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>A TESSELLATION is the periodic repetition of the same figure covering a plane without overlapping or holes. The figures used to cover the surface, tessellations, are often polygons, regular or&hellip; <\/p>\n","protected":false},"author":1,"featured_media":1033,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[35],"tags":[34,32,33,31],"_links":{"self":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/996"}],"collection":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/comments?post=996"}],"version-history":[{"count":47,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/996\/revisions"}],"predecessor-version":[{"id":1260,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/996\/revisions\/1260"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media\/1033"}],"wp:attachment":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media?parent=996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/categories?post=996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/tags?post=996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}