{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='Equally sharing a cake between three people - Numberphile' data-url='/boclips/videos/5c670a79350a1b0001a75d6b' data-video-url='/boclips/videos/5c670a79350a1b0001a75d6b' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nEqually sharing a cake between three people - Numberphile\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30358509\" href=\"/search?publisher_ids%5B%5D=30358509\">Numberphile</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>Audible (30-day trial, free audio book) More links &amp; stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with Hannah Hannah's website Her book mentioned is \"The Mathematics of Love\". Envy free cake...</span>\n<span class='full-description hide'>Audible (30-day trial, free audio <a href='https://www.audible.com/numberphile' target='_blank' rel='nofollow'>book)</a> More links & stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with <a href='http://bit.ly/hannah_vids' target='_blank' rel='nofollow'>Hannah</a> Hannah's <a href='http://www.hannahfry.co.uk' target='_blank' rel='nofollow'>website</a> Her book mentioned is \"The Mathematics of Love\". Envy free cake cutting (the paper <a href='https://arxiv.org/abs/1604.03655' target='_blank' rel='nofollow'>mentioned)</a> A clarifying note from Hannah: n^n^n^n^n^n is the maximum number of cuts in the n person case. Something we could have made clearer... Bob's trimmed piece still carries the status of his \"first choice\", so if Charlie leaves it, Bob will (must) pick it... otherwise he'll pick the one that was his original \"second choice\"... The upshot of this is that there's no chance Alice will be left with the trimmed piece after everyone takes their first piece. And Bob remains envy free under these conditions too. A trilogy of mathematical cake cutting <a href='http://bit.ly/CakeCuttingTrilogy' target='_blank' rel='nofollow'>videos...</a> Editing and animation in this video by Pete McPartlan Discuss this video on Brady's <a href='https://redd.it/72jyww' target='_blank' rel='nofollow'>subreddit</a> Numberphile is supported by the Mathematical Sciences Research Institute (<a href='http://bit.ly/MSRINumberphile' target='_blank' rel='nofollow'>MSRI)</a> We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. 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