{"id":2324,"date":"2023-10-08T09:55:39","date_gmt":"2023-10-08T07:55:39","guid":{"rendered":"https:\/\/www.din.usi.ch\/blog\/?p=2324"},"modified":"2023-12-01T08:59:55","modified_gmt":"2023-12-01T07:59:55","slug":"dice","status":"publish","type":"post","link":"https:\/\/www.din.usi.ch\/blog\/2023\/10\/08\/dice\/","title":{"rendered":"The die is cast"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2324\" class=\"elementor elementor-2324\" 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><span lang=\"EN-US\">To say &#8220;<\/span><span tabindex=\"0\" role=\"tooltip\">the die is cast&#8221;<\/span> (in latin &#8220;Alea iacta est&#8221;) is <span lang=\"EN-US\">to suggest that a process is past the point of return<\/span><span lang=\"EN-US\">. A die is a numbered cube used in gaming (the singular of dice).\u00a0<\/span><span style=\"font-family: Roboto, sans-serif; font-size: 14px; font-style: normal; font-weight: 400; color: var( --e-global-color-text );\">Actually, dice can have different shapes, they can be regular or irregular polyhedra, so, most in general, t<\/span><span style=\"font-size: 14px; color: var( --e-global-color-text );\">he dice is a polyhedral shaped object used for various games whose marked faces are used to randomly generate numerical or other outcomes. In a regular die, all numbers have the same probability of coming out. The cubic die is the most common, the tetrahedron, shaped like a pyramid, is the least used, the octahedron is the most used after the cube, while the dodecahedron (12 faces) and the icosahedron (20 faces) were used in the past by magicians and sorceresses in their divinatory arts.<\/span><\/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-4dd5b18 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4dd5b18\" 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-e9c2e1b\" data-id=\"e9c2e1b\" 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-a9149a5 elementor-widget elementor-widget-image\" data-id=\"a9149a5\" 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=\"362\" height=\"362\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/dice.png\" class=\"attachment-ect-jetpack-portfolio-featured size-ect-jetpack-portfolio-featured wp-image-2337\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/dice.png 362w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/dice-300x300.png 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/dice-150x150.png 150w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/dice-50x50.png 50w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/>\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-a4dce94 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a4dce94\" 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-20bdeb2\" data-id=\"20bdeb2\" 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-c838b09 elementor-widget-divider--separator-type-pattern elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"c838b09\" data-element_type=\"widget\" data-widget_type=\"divider.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-divider{--divider-border-style:none;--divider-border-width:1px;--divider-color:#0c0d0e;--divider-icon-size:20px;--divider-element-spacing:10px;--divider-pattern-height:24px;--divider-pattern-size:20px;--divider-pattern-url:none;--divider-pattern-repeat:repeat-x}.elementor-widget-divider .elementor-divider{display:flex}.elementor-widget-divider .elementor-divider__text{font-size:15px;line-height:1;max-width:95%}.elementor-widget-divider .elementor-divider__element{margin:0 var(--divider-element-spacing);flex-shrink:0}.elementor-widget-divider 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.elementor-divider-separator,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:after,.elementor-widget-divider--separator-type-pattern:not(.elementor-widget-divider--view-line) .elementor-divider-separator:before,.elementor-widget-divider--separator-type-pattern:not([class*=elementor-widget-divider--view]) .elementor-divider-separator{width:100%;min-height:var(--divider-pattern-height);-webkit-mask-size:var(--divider-pattern-size) 100%;mask-size:var(--divider-pattern-size) 100%;-webkit-mask-repeat:var(--divider-pattern-repeat);mask-repeat:var(--divider-pattern-repeat);background-color:var(--divider-color);-webkit-mask-image:var(--divider-pattern-url);mask-image:var(--divider-pattern-url)}.elementor-widget-divider--no-spacing{--divider-pattern-size:auto}.elementor-widget-divider--bg-round{--divider-pattern-repeat:round}.rtl .elementor-widget-divider .elementor-divider__text{direction:rtl}.e-con-inner>.elementor-widget-divider,.e-con>.elementor-widget-divider{width:var(--container-widget-width,100%);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-divider\" style=\"--divider-pattern-url: url(&quot;data:image\/svg+xml,%3Csvg xmlns=&#039;http:\/\/www.w3.org\/2000\/svg&#039; preserveAspectRatio=&#039;none&#039; overflow=&#039;visible&#039; height=&#039;100%&#039; viewBox=&#039;0 0 24 24&#039; fill=&#039;none&#039; stroke=&#039;black&#039; stroke-width=&#039;1&#039; stroke-linecap=&#039;square&#039; stroke-miterlimit=&#039;10&#039;%3E%3Cpath d=&#039;M0,21c3.3,0,8.3-0.9,15.7-7.1c6.6-5.4,4.4-9.3,2.4-10.3c-3.4-1.8-7.7,1.3-7.3,8.8C11.2,20,17.1,21,24,21&#039;\/%3E%3C\/svg%3E&quot;);\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\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-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 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-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;:10,&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 5\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_dice_5.png\" alt=\"PHOTO_dice_5\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"2 of 5\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_dice_4.png\" alt=\"PHOTO_dice_4\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"3 of 5\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_dice_6-scaled.jpg\" alt=\"PHOTO_dice_6\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"4 of 5\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_dice_2-scaled.jpg\" alt=\"PHOTO_dice_2\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"5 of 5\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_dice_1-scaled.jpg\" alt=\"PHOTO_dice_1\" \/><\/figure><\/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-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>In the original version of the exhibition, a sensor was used to interact with the simulation projected on the TV. In the version presented in this repository, we use an updated simulation, which can be accessed via the link provided and viewed with a simple browser, while interaction is possible via a simple keyboard or mouse.<\/p><p>The simulation makes it possible to verify through a simple selection what happens after a very large number of throws, both in the case of regular and irregular dice.<\/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\" 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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 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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\">SKEW DICE<\/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>Dice are an excellent tool for becoming familiar with the definition of classical probability proposed by Laplace (1749-1827).<\/p><p>We assume that all cases are equiprobable. To calculate the probability of an event A:<\/p><blockquote><p><span style=\"color: #000000;\">Pr (event A)=favourable cases (upon occurrence of event A)\/possible cases<\/span><\/p><\/blockquote><p>E.g. In a cubic die, the probability of an even number coming up is: favourable cases = 3; possible cases = 6;<\/p><blockquote><p><span style=\"color: #000000;\">Pr(pari) = 3\/6 = 0.5 = 50%<\/span><\/p><\/blockquote><p>But what if the dice were not regular? The outcomes would no longer be equiprobable and we could therefore no longer use the previous definition. We could, however, adopt the definition of frequentist probability according to which the probability of an event corresponds to how many times this event occurs out of the total number of trials &#8211; realised under the same conditions &#8211; sufficiently large as the number of trials tends to infinity. We then repeat the roll of an irregular die many times &#8211; say one hundred &#8211; and count how many times we get a certain number as a result &#8211; for example the number 3. If the number 3 appears 70 times then we can estimate that the probability of outcome three is 70%. Our estimate will be all the more accurate the more times it is repeated. But be careful, the throws of the dice must all be made under the same conditions.<\/p><p>What if I cannot do repeated tests under similar conditions, for example, if I want to assess the probability that it will rain tomorrow? Since it is a matter of assessing the probability of a non-repeatable event under the same conditions, we can use the subjective definition of probability: an individual&#8217;s assessment of the probability of an event depends on the degree of confidence he or she has that the event will occur based on the information he or she has available [De Finetti (1906-1985) and Savage (1917-1971)].<\/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>For the animation of the exhibit, it is recommended to start with live throws of regular dice and then speculate on what might happen by increasing the number of throws and only then go into simulation. <br \/>Very effective is to make hypothesis on irregular dice throws (skew says), in this case it is difficult to find already made ones, below is a link to a site where you can buy them.<\/p><p><span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/mathartfun.com\/DiceLabDice.html\"><strong>SKY DICE<\/strong> (Where to buy) \/\/ option A<\/a><\/span><\/p><p><span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/mathsgear.co.uk\/collections\/dice\"><strong>SKY DICE<\/strong> (Where to buy) \/\/ option B<\/a><\/span><\/p><p>Curiosity: Chevalier De M\u00e9r\u00e9 (1607-1684) was a great dice player and it was his passion that led him to consult the greatest mathematicians of his time, such as P. de Fermat and B. Pascal, to submit to them problems related to the game of dice. From these early studies, the calculus of probability was born, which deals with random phenomena, i.e. aleatory phenomena just like the throwing of dice &#8211; &#8216;alea&#8217; is a Latin word meaning dice game.<\/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:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_DICE_assembly_sheet.pdf\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-2389 size-full\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit.png\" alt=\"\" width=\"2534\" height=\"1760\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit.png 2534w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit-300x208.png 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit-1024x711.png 1024w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit-768x533.png 768w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit-1536x1067.png 1536w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DICE_exhibit-2048x1422.png 2048w\" sizes=\"(max-width: 2534px) 100vw, 2534px\" \/><\/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\">SKEW DICE<\/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>A SKEW DIE is a non-uniform die. Other than a coin flip, the most common probability example in introductory classes is based on a fair, uniform 6-sided die, where we assume that all sides are uniformly equal in probability.<\/p><p>The fundamentals of probability still hold if the assumption of uniformity is violated. Skewed dice were designed (by the author) to illustrate how pervasive the uniformity assumption is. These dice have been rolled a few hundred times to determine experimentally the probabilities of each number coming up.<\/p><p>Further exploration of skewed dice can be found <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/sinesofthingstocome.com\/2021\/08\/20\/skewed-dice-and-the-jims-birthday-problem\/?fbclid=IwAR2RhxDRGZebnEd0PFTRic6qEtOTonSW5Yg_bfe0ZREXmJ701qrA8eY1KoQ\">here.<\/a><\/span><\/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-902f763 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"902f763\" 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-149c846\" data-id=\"149c846\" 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-e9fb268 elementor-widget elementor-widget-video\" data-id=\"e9fb268\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=uAnCL3vhVIs&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.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-video .elementor-widget-container{overflow:hidden;transform:translateZ(0)}.elementor-widget-video .elementor-wrapper{aspect-ratio:var(--video-aspect-ratio)}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video .elementor-wrapper video{height:100%;width:100%;display:flex;border:none;background-color:#000}@supports not (aspect-ratio:1\/1){.elementor-widget-video .elementor-wrapper{position:relative;overflow:hidden;height:0;padding-bottom:calc(100% \/ var(--video-aspect-ratio))}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video .elementor-wrapper video{position:absolute;top:0;right:0;bottom:0;left:0}}.elementor-widget-video .elementor-open-inline .elementor-custom-embed-image-overlay{position:absolute;top:0;right:0;bottom:0;left:0;background-size:cover;background-position:50%}.elementor-widget-video .elementor-custom-embed-image-overlay{cursor:pointer;text-align:center}.elementor-widget-video .elementor-custom-embed-image-overlay:hover .elementor-custom-embed-play i{opacity:1}.elementor-widget-video .elementor-custom-embed-image-overlay img{display:block;width:100%;aspect-ratio:var(--video-aspect-ratio);-o-object-fit:cover;object-fit:cover;-o-object-position:center center;object-position:center center}@supports not (aspect-ratio:1\/1){.elementor-widget-video .elementor-custom-embed-image-overlay{position:relative;overflow:hidden;height:0;padding-bottom:calc(100% \/ var(--video-aspect-ratio))}.elementor-widget-video .elementor-custom-embed-image-overlay img{position:absolute;top:0;right:0;bottom:0;left:0}}.elementor-widget-video .e-hosted-video .elementor-video{-o-object-fit:cover;object-fit:cover}.e-con-inner>.elementor-widget-video,.e-con>.elementor-widget-video{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\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-5da65f8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5da65f8\" 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-c7c2df4\" data-id=\"c7c2df4\" 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-d61355d elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"d61355d\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\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-5bbd903 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5bbd903\" 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-3922fe0\" data-id=\"3922fe0\" 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-f2fcc4a elementor-widget elementor-widget-heading\" data-id=\"f2fcc4a\" 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\">What is gambling?<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-024697a elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"024697a\" 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>People bet, usually money or goods, on the outcome of a future event. The bet, once placed, cannot be withdrawn. The outcome of the bet is governed by chance. The skill of the player does not count.<\/p><p>In <b>Italy<\/b>, the oldest lottery dates back to the 16th century and still bears the same name: Lotto. In Genoa, for the first time in Italy, the game of Lotto was legalized in 1576, following a long unrecognized tradition of betting on many events (outcomes of Doges&#8217; elections, marriages, sex of the unborn).<br \/>In Italy Betting on horse racing became a popular game of chance with the birth of Totip in 1948.<\/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<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-7c784d7\" data-id=\"7c784d7\" 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-2556bec elementor-widget elementor-widget-text-editor\" data-id=\"2556bec\" 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 <b>Britain<\/b> in the 12th and 13th centuries, betting on horse racing, now among the most popular forms of gambling, was called &#8220;the sport of kings.&#8221; But in 1661, the first law banning gambling was enacted, with the aim of preventing less well-off people from getting into debt.<\/p><p>In <b>France<\/b> the philosopher Blaise Pascal in the 16th century was the inventor of roulette.<\/p><p>In <b>California<\/b> in 1885 &#8216;American Charles Fay built the first SlotMachines.<br \/>(Source: Arnold P The Enrucionedio of Gomblino Chartwell Books 1977).<br \/>Roger Caillois (1913 &#8211; 1978) French writer, sociologist, anthropologist and literary critic wrote the best-known Classification of GAME (1962) in which the following definition appears: &#8220;ALEA games whose outcome can be determined solely by chance, as in the case of a coin toss, in betting, roulette, lottery&#8230; In these kinds of games: player skill is often irrelevant, chance is dominant, risk is always present.&#8221;<\/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-1ce1b01 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1ce1b01\" 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-5bce7ea\" data-id=\"5bce7ea\" 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-4605e37 elementor-widget elementor-widget-text-editor\" data-id=\"4605e37\" 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<h2><strong><span style=\"color: #ff0000;\">Rolling of the dice simulation game<\/span><\/strong><\/h2>\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-dec36d8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dec36d8\" 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-8204769\" data-id=\"8204769\" 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-c961a71 elementor-widget elementor-widget-image\" data-id=\"c961a71\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/dinvr.usi.ch\/dice?locale=en\" target=\"_blank\">\n\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"770\" height=\"376\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-1024x500.png\" class=\"attachment-large size-large wp-image-3382\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-1024x500.png 1024w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-300x147.png 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-768x375.png 768w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-1536x751.png 1536w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Schermata-2023-12-01-alle-08.52.57-2048x1001.png 2048w\" sizes=\"(max-width: 770px) 100vw, 770px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Web page with Rolling of the dice simulation game, click on the image<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\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-6191289 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6191289\" 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-58f9274\" data-id=\"58f9274\" 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-b02bc6b elementor-widget elementor-widget-image\" data-id=\"b02bc6b\" 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<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" loading=\"lazy\" width=\"770\" height=\"589\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/nicolas-tournier-1590-c1657-dice-players-609026-national-trust-fe282b-1024.jpg\" class=\"attachment-large size-large wp-image-2351\" alt=\"\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/nicolas-tournier-1590-c1657-dice-players-609026-national-trust-fe282b-1024.jpg 1024w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/nicolas-tournier-1590-c1657-dice-players-609026-national-trust-fe282b-1024-300x229.jpg 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/nicolas-tournier-1590-c1657-dice-players-609026-national-trust-fe282b-1024-768x587.jpg 768w\" sizes=\"(max-width: 770px) 100vw, 770px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">\"Dice Players\" by\nNicolas Tournier (1590\u2013c.1657)\nNational Trust, Attingham Park \/\/ Photo credit: National Trust Images<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\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-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 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 DIN VERSION<\/strong><\/h6><ul><li>n.1 base pallet 120&#215;180 cm \/\/ on which rests plan launch nuts in honeycomb cardboard<\/li><li>n.1 vertical pallet 120&#215;200 cm with holes for TV screws n.1 cardboard\/wooden base 120&#215;100 cm with carpet and plexiglass sides<\/li><li>Plexiglass sides per floor (120&#215;100 cm)<\/li><li>Skew\/irregular and regular dice<\/li><li>Printed cardboard panel 100&#215;50 cm with explanation<\/li><li>Title cardboard panel 120&#215;20 cm<\/li><li>PC for simulation<\/li><li>Sensor \/\/ or alternative solution with PC or tablet to interact with simulation.<\/li><li>MDF and cardboard stand (90&#215;35 cm) for TABLET or keyboard \/\/ for interactive simulation on the TV.<\/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;\">DOWNLOAD PRINT-READY .PDF FILES &amp; LINK:<\/span><\/strong><\/p><ul><li style=\"font-size: 14px;\"><a href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/FRA_pannello_DADI.pdf\">CARDBOARD PANEL (FRA)\u00a0<\/a><\/li><li><a href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/ITA_pannello_DADI.pdf\">CARDBOARD PANEL (ITA)<\/a><\/li><li><a href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Skewed_Dice_3253893.zip\">3D MODEL SKEW DIE<\/a> \/\/ 1<\/li><li><a href=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/Skewed_dice_4936773.zip\">3D MODEL SKEW DIE<\/a> \/\/ 2<\/li><li><a href=\"https:\/\/www.teaching.com.au\/product\/TEB6023K\">PLATONIC DICE AND SOFT DICE<\/a> (30 CM SIDE) \/\/ 1<\/li><li><a href=\"https:\/\/www.teaching.com.au\/product\/BRU146-12\">PLATONIC DICE AND SOFT DICE <\/a>(30 CM SIDE) \/\/ 2<\/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) 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.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>To say &#8220;the die is cast&#8221; (in latin &#8220;Alea iacta est&#8221;) is to suggest that a process is past the point of return. A die is a numbered cube used&hellip; <\/p>\n","protected":false},"author":1,"featured_media":2325,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29,36],"tags":[26,28],"_links":{"self":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/2324"}],"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=2324"}],"version-history":[{"count":75,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/2324\/revisions"}],"predecessor-version":[{"id":3391,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/2324\/revisions\/3391"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media\/2325"}],"wp:attachment":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media?parent=2324"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/categories?post=2324"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/tags?post=2324"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}