{"id":5693,"date":"2021-09-07T20:08:21","date_gmt":"2021-09-08T03:08:21","guid":{"rendered":"https:\/\/mattfife.com\/?p=5693"},"modified":"2021-09-07T20:08:21","modified_gmt":"2021-09-08T03:08:21","slug":"the-geometry-of-fair-dice","status":"publish","type":"post","link":"https:\/\/mattfife.com\/?p=5693","title":{"rendered":"The geometry of fair dice"},"content":{"rendered":"\n<p>It turns out that the geometry behind fair dice is more interesting and complex than you might first guess.<\/p>\n\n\n\n<p>Professor Persi Diaconis discusses all kinds of interesting properties of fair dice as well as his <a rel=\"noreferrer noopener\" href=\"https:\/\/statweb.stanford.edu\/~cgates\/PERSI\/papers\/fairdice.pdf\" data-type=\"URL\" data-id=\"https:\/\/statweb.stanford.edu\/~cgates\/PERSI\/papers\/fairdice.pdf\" target=\"_blank\">interesting paper on the topic<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/G7zT9MljJ3Y?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p>Getting fair dice for any number is very hard, if not impossible. But it turns out level-up dice have a unique &#8216;unicorn dice&#8217; that you change the end cap and then roll in a circle. They&#8217;re pretty overpriced at $110 for a whole set &#8211; when a regular set will cost you $5, but a dice in this configuration can get you a fair roll for any value range.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/usa.levelupdice.net\/collections\/unicorn-horn-dice\/products\/black-unicorn-horn-dice\" target=\"_blank\" rel=\"noopener\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/cdn.shopify.com\/s\/files\/1\/0040\/2073\/2022\/products\/unicorn-3_300x.jpg?w=640&#038;ssl=1\" alt=\"Black Unicorn Horn Dice\"\/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>It turns out that the geometry behind fair dice is more interesting and complex than you might first guess. Professor Persi Diaconis discusses all kinds of interesting properties of fair dice as well as his interesting paper on the topic. Getting fair dice for any number is very hard, if not impossible. But it turns out level-up dice have a unique &#8216;unicorn dice&#8217; that you change the end cap and then roll in a circle. They&#8217;re pretty overpriced at $110&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/mattfife.com\/?p=5693\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[9,5],"tags":[],"class_list":["post-5693","post","type-post","status-publish","format-standard","hentry","category-cool","category-technical"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4WECr-1tP","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/5693","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5693"}],"version-history":[{"count":1,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/5693\/revisions"}],"predecessor-version":[{"id":5694,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/5693\/revisions\/5694"}],"wp:attachment":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5693"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5693"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5693"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}