{"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='Stars and Bars (and bagels) - Numberphile' data-url='/boclips/videos/5c670a7e350a1b0001a75d6f' data-video-url='/boclips/videos/5c670a7e350a1b0001a75d6f' 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'>\nStars and Bars (and bagels) - 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&amp;search_tab_id=2\">Numberphile</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>Professor Ken Ribet discusses a mathematical problem involving bagels - and some clever combinatorics. More links &amp; stuff in full description below ↓↓↓ With thanks to these Patreon supporters: Jeff Straathof Peggy Youell Ken Baron...</span>\n<span class='full-description hide'>Professor Ken Ribet discusses a mathematical problem involving bagels - and some clever combinatorics. More links & stuff in full description below ↓↓↓ With thanks to these Patreon supporters: Jeff Straathof Peggy Youell Ken Baron Today I Found Out Christian Cooper Andrzej 'Yester' Fiedukowicz John Buchan Bill Shillito Ole Kristian Merli Ayliean Viraansh Bhanushali Thomas J. Alex Nordlund Thomas Buckingham Michael Kelly O'Connor Peter Kær Bader AlGhamdi Tyler O'Connor Jon Longbeard Ian George Walker Tracy Parry Stan Ciprian Mark Klamerus Kristian Joensen James P Buckley Jordan Smith Alfred Wallace Tryggve Johannesson Valentin Joshua Williams Arnas George Greene Paul Bates Support us on <a href='http://www.patreon.com/numberphile' target='_blank' rel='nofollow'>Patreon</a> NUMBERPHILE <a href='http://www.numberphile.com/' target='_blank' rel='nofollow'>Website</a> Numberphile on <a href='http://www.facebook.com/numberphile' target='_blank' rel='nofollow'>Facebook</a> Numberphile <a href='https://twitter.com/numberphile' target='_blank' rel='nofollow'>tweets</a> <a href='http://bit.ly/Numberphile_Sub' target='_blank' rel='nofollow'>Subscribe</a> Numberphile is supported by the Mathematical Sciences Research Institute (<a href='http://bit.ly/MSRINumberphile' target='_blank' rel='nofollow'>MSRI)</a> Videos by Brady Haran Brady's videos <a href='http://www.reddit.com/r/BradyHaran/' target='_blank' rel='nofollow'>subreddit</a> Brady's latest videos across all <a href='http://www.bradyharanblog.com/' target='_blank' rel='nofollow'>channels</a> Sign up for (occasional) <a href='http://eepurl.com/YdjL9' target='_blank' rel='nofollow'>emails</a> Numberphile T-<a href='https://teespring.com/stores/numberphile' target='_blank' rel='nofollow'>Shirts</a> Other <a href='https://store.dftba.com/collections/numberphile' target='_blank' rel='nofollow'>merchandise</a></span>\n</div>\n<div class='action-container flex justify-between'>\n<button aria-expanded='false' aria-label='Read more description' class='rp-full-description' type='button'>\n<i class='fai fa-solid fa-align-left'></i>\n<span id='read_more'>Read More</span>\n</button>\n<div class='rp-report'>\n</div>\n</div>\n<div aria-labelledby='resource-details-heading' class='rp-info-section'>\n<h2 class='title' id='resource-details-heading'>Resource Details</h2>\n<div class='rp-resource-details clearfix'>\n<div class='detail'>\n<dl>\n<dt>Curator Rating</dt>\n<dd><span class=\"star-rating\" aria-label=\"4.0 out of 5 stars\" role=\"img\"><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-solid fa-star text-action\" aria-hidden=\"true\"></i><i class=\"fa-regular fa-star text-action\" aria-hidden=\"true\"></i></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt class=\"educator-rating-title\">Educator Rating</dt><dd><div class=\"educator-rating-details\" data-path=\"/educator_ratings/rrp_data?resourceable_id=95026&amp;resourceable_type=Boclips%3A%3AVideoMetadata\"><span class=\"not-yet-rated\">Not yet Rated</span></div></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Grade</dt><dd title=\"Grade\">6th - 11th</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Subjects</dt><dd><span><a href=\"/search?grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=2&amp;subject_ids%5B%5D=1216220\">All Subjects</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Media Type</dt><dd><span><a href=\"/search?grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=2&amp;type_ids%5B%5D=4543647\">Instructional Videos</a></span></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Source:</dt>\n<dd></dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Date</dt>\n<dd>2019</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<i aria-hidden='true' class='fai fa-solid fa-language'></i>\n\n</dl>\n</div>\n<div class='detail'>\n<dl>\n<dt>Audiences</dt><dd><span><a href=\"/search?audience_ids%5B%5D=371079&amp;grade_ids%5B%5D=252&amp;grade_ids%5B%5D=253&amp;grade_ids%5B%5D=254&amp;grade_ids%5B%5D=255&amp;grade_ids%5B%5D=256&amp;grade_ids%5B%5D=257&amp;search_tab_id=2\">For Teacher Use</a></span></dd><dd class=\"text-muted\"><i class=\"fa-solid fa-lock mr5\"></i>2 more...</dd>\n</dl>\n</div>\n<div class='detail'>\n<dl>\n\n</dl>\n</div>\n</div>\n</div>\n<div aria-labelledby='educator-ratings-heading' class='rp-info-section'>\n<h2 class='title sr-only' id='educator-ratings-heading'>Educator Ratings</h2>\n<div id=\"educator-ratings-root\"></div><div id=\"all-educator-ratings-root\"></div><div id=\"educator-rating-form-root\"></div>\n</div>\n</div>\n<div class='rp-resource'>\n<div aria-label='Show resource details' class='rp-show-info' role='button' tabindex='0'>\n<i class='fai fa-solid fa-align-left'></i>\nShow resource details\n</div>\n<div aria-label='Video player' class='player' id='player-wrapper' role='region'>\n<div class='relative container mx-auto' id='lp-boclips-visitor-thumbnail'>\n<a class=\"block\" data-html=\"true\" data-placement=\"bottom\" data-trigger=\"click\" data-content=\"<div class=&quot;text-center py-2&quot;><a class=&quot;bold&quot; href=&quot;/auth/users/sign_in&quot;>Sign in</a> or <a class=&quot;bold text-danger&quot; data-posthog-event=&quot;Signup: LP Signup Activity&quot; data-posthog-location=&quot;body_link_boclips&quot; data-remote=&quot;true&quot; href=&quot;/subscription/new&quot;>Join Now</a></div>\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Stars and Bars (and bagels) - Numberphile\" href=\"/subscription/new\"><img class=\"resource-img img-thumbnail img-responsive z-10 lp-boclips-thumbnail w-full h-full lozad\" alt=\"Stars and Bars (and bagels) - Numberphile\" title=\"Stars and Bars (and bagels) - Numberphile\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"https://statictemp.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" />\n<span aria-hidden='true' class='flex justify-center items-center bg-white rounded-full w-16 h-16 absolute top-1/2 left-1/2 -mt-8 -ml-8 cursor-pointer z-0 border-2 border-primary drop-shadow-md lp-boclips-thumbnail-playBtn'>\n<i class='fa-solid fa-play text-primary text-3xl ml-1 drop-shadow-xl'></i>\n</span>\n</a></div>\n</div>\n</div>\n</div>\n</div>\n</div>\n"}