{"id":459,"date":"2024-12-03T08:00:00","date_gmt":"2024-12-03T07:00:00","guid":{"rendered":"https:\/\/control-advent.com\/?p=459"},"modified":"2025-11-28T19:03:49","modified_gmt":"2025-11-28T18:03:49","slug":"03-stack-smart-or-crash-hard-the-great-sleigh-debate","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=459","title":{"rendered":"03 &#8211; Stack Smart or Crash Hard: The Great Sleigh Debate!"},"content":{"rendered":"\n<p><strong>Author of this question:<\/strong> Anthony Rossiter, <em>School of Electrical and Electronic Engineering<\/em>, University of Sheffield, England<\/p>\n\n\n\n<p>Santa\u2019s elves are packing the sleigh to the brim, but now they face a challenge, as the only way out of Santa&#8217;s workshop is to pass under a bridge. Outside the bridge, there\u2019s a sign indicating that it\u2019s 4 meters high. However, an unexpected issue has come up recently: the freezing and expansion of the ground beneath the bridge during the cold winter nights pushed up the whole road surface underneath the bridge. The road inside the bridge forms a 20 centimeters bump, which the sign doesn&#8217;t account for. This bump will cause the sleigh to bounce up and down as it passes through. The suspension hasn\u2019t been revised in ages, so it takes a hilariously long time for the sleigh&#8217;s wild oscillations to settle. But do the elves mind such oscillations? Not at all! They actually enjoy them because they make each ride feel like an amusement park roller coaster. But how shall the elves account for the novel bump underneath the bridge? How high can they safely stack the gifts to avoid a crash that would squash your present \u2014 and we all know that&#8217;s the most important one?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1019\" src=\"https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-1024x1019.jpg\" alt=\"\" class=\"wp-image-416\" style=\"width:603px;height:auto\" srcset=\"https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-1024x1019.jpg 1024w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-300x300.jpg 300w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-150x150.jpg 150w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-768x764.jpg 768w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-24x24.jpg 24w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-36x36.jpg 36w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024-48x48.jpg 48w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/03-Dec-2024.jpg 1058w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>a. \ud83c\udf6d\ud83c\udf84\ud83d\ude0b None of these \u2014 I\u2019m only here for the candy canes.<\/p>\n\n\n\n<p>b. \ud83c\udf81\ud83d\udce6\ud83c\udfa2 Presents squash, so who cares? Just pack the sleigh as high as possible!<\/p>\n\n\n\n<p>c. \ud83e\udddd\ud83d\udccf\ud83e\udd41 The elves are masters of tight spaces and could stack the sleigh up to 3.8 m. They\u2019ve been doing this for so long, they could probably pack a full drum set into a matchbox \u2014 and still leave room for Santa\u2019s snack stash.<\/p>\n\n\n\n<p>d. \ud83c\udf85\u2728\ud83e\ude84 Santa is magic, so it doesn\u2019t really matter. He\u2019ll just \u201cHo ho ho\u201d through it.<\/p>\n\n\n\n<p>e. \ud83d\udccf\ud83c\udf81\ud83d\udee1\ufe0f The elves should stack the sleigh no higher than 3.6 m. After all, better safe than sorry when your present is at stake!<\/p>\n\n\n\n<p>f.  \ud83d\udccf\ud83d\udd27\ud83c\udf84 The elves can stack the sleigh up to about 3.75 m. While 3.8 m should suffice in theory, it\u2019s wise to allow an extra 5 cm for safety.<\/p>\n\n\n\n<p>g. \ud83d\udecc\ud83e\uddd3\ud83d\udc8a My present isn\u2019t important because I\u2019m too old for gifts. The only thing I expect from Santa now is a reminder that I should be in bed by 9 p.m. and maybe a coupon for some multivitamins.<\/p>\n\n\n<div class='bootstrap-yop yop-poll-mc'>\n\t\t\t\t\t\t\t<div class=\"basic-yop-poll-container\" style=\"background-color:#b70004; border:0px; border-style:solid; border-color:#b70004; border-radius:0px; padding:10px 10px;\" data-id=\"8\" data-temp=\"basic\" data-skin=\"minimal\" data-cscheme=\"black\" data-cap=\"0\" data-access=\"wordpress\" data-tid=\"\" data-uid=\"867487f1f110e0b97968d64ef2cfb7a8\" data-pid=\"459\" data-resdet=\"percentages\" data-show-results-to=\"\" data-show-results-moment=\"never\" data-show-results-only=\"false\" data-show-message=\"true\" data-show-results-as=\"bar\" data-sort-results-by=\"as-defined\" data-sort-results-rule=\"asc\"data-is-ended=\"0\" data-gdpr=\"no\" data-gdpr-sol=\"consent\" data-css=\".basic-yop-poll-container[data-uid] .basic-vote { text-align: center; }\" data-counter=\"0\" data-load-with=\"1\" data-notification-section=\"top\"><div class=\"row\"><div class=\"col-md-12\"><div class=\"basic-inner\"><div class=\"basic-message hide\" style=\"border-left: 10px solid #008000; padding: 0px 10px;\" data-error=\"#ff0000\" data-success=\"#008000\"><p class=\"basic-message-text\" style=\"color:#000000; font-size:14px; font-weight:normal;\"><\/p><\/div><div class=\"basic-overlay hide\"><div class=\"basic-vote-options\"><\/div><div class=\"basic-preloader\"><div class=\"basic-windows8\"><div class=\"basic-wBall basic-wBall_1\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_2\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_3\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_4\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_5\"><div class=\"basic-wInnerBall\"><\/div><\/div><\/div><\/div><\/div><form class=\"basic-form\"><input type=\"hidden\" name=\"_token\" value=\"4910e22e7b\" autocomplete=\"off\"><div class=\"basic-elements\"><div class=\"basic-element basic-question basic-question-text-horizontal\" data-id=\"8\" data-uid=\"6739f07272988502c4687b620b175246\" data-type=\"question\" data-question-type=\"text\" data-allow-multiple=\"no\" data-min=\"1\" data-max=\"1\" data-display=\"horizontal\" data-colnum=\"\" data-display-others=\"no\" data-others-color=\"\" data-others=\"\"><div role=\"heading\" aria-level=\"5\" class=\"basic-question-title\" style=\"color:#ffffff; font-size:14px; font-weight:normal; text-align:center;\">Choose an option:<\/div><ul class=\"basic-answers basic-h-answers\"><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"37\" data-type=\"text\" data-vn=\"4\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[37]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[37]\" name=\"answer[8]\" value=\"37\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">a<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"38\" data-type=\"text\" data-vn=\"2\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[38]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[38]\" name=\"answer[8]\" value=\"38\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">b<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"39\" data-type=\"text\" data-vn=\"19\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[39]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[39]\" name=\"answer[8]\" value=\"39\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">c<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"75\" data-type=\"text\" data-vn=\"16\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[75]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[75]\" name=\"answer[8]\" value=\"75\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">d<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"76\" data-type=\"text\" data-vn=\"140\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[76]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[76]\" name=\"answer[8]\" value=\"76\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">e<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"77\" data-type=\"text\" data-vn=\"212\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[77]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[77]\" name=\"answer[8]\" value=\"77\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">f<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-7\" style=\"padding:0px 0px;\" data-id=\"78\" data-type=\"text\" data-vn=\"1\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[78]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[78]\" name=\"answer[8]\" value=\"78\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">g<\/span><\/label><\/div><\/li><\/ul><\/div><div class=\"clearfix\"><\/div><\/div><div class=\"basic-vote\"><a href=\"#\" class=\"button basic-vote-button\" role=\"button\" style=\"background:#ffffff; border:1px; border-style: solid; border-color:#000000; border-radius:0px; padding:5px 10px; color:#000000; font-size:14px; font-weight:normal;\">&gt;&gt;&gt;<\/a><\/div><\/form><div class=\"yop-poll-modal\"><div class=\"yop-poll-modal-content\"><div class=\"yop-poll-modal-header\"><span class=\"yop-poll-modal-close\">&times;<\/span><\/div><div class=\"yop-poll-modal-body\"><div class=\"yop-poll-form-group\"><label class=\"yop-poll-user-or-email-label\">Username or Email Address<\/label><input type=\"text\" class=\"yop-poll-user-or-email-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group\"><label class=\"yop-poll-password-label\">Password<\/label><input type=\"password\" class=\"yop-poll-password-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group submit\"><button class=\"button button-primary button-large yop-poll-login-button\">Log In<\/button><\/div><div class=\"yop-poll-form-group yop-poll-section-login-options\"><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=register\" target=\"_blank\">No account? Register here<\/a><\/p><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=lostpassword\" target=\"_blank\">Forgot password<\/a><\/p><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Author of this question: Anthony Rossiter, School of Electrical and Electronic Engineering, University of Sheffield, England Santa\u2019s elves are packing the sleigh to the brim, but now they face a challenge, as the only way out of Santa&#8217;s workshop is &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=459\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">03 &#8211; Stack Smart or Crash Hard: The Great Sleigh Debate!<\/span><\/a><\/span><\/p>\n","protected":false},"author":4,"featured_media":416,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[99],"class_list":["post-459","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-english","tag-99"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/459","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=459"}],"version-history":[{"count":5,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/459\/revisions"}],"predecessor-version":[{"id":787,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/459\/revisions\/787"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/media\/416"}],"wp:attachment":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}