{"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='Combinatorics and Higher Dimensions - Numberphile' data-url='/boclips/videos/5c670aba350a1b0001a75d90' data-video-url='/boclips/videos/5c670aba350a1b0001a75d90' 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'>\nCombinatorics and Higher Dimensions - 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'>Featuring Federico Ardila from San Francisco State University - filmed at MSRI. More links &amp; stuff in full description below ↓↓↓ Federico previously on Numberphile Federico's webpage Antarctica Timelapse Objectivity Thanks to our...</span>\n<span class='full-description hide'>Featuring Federico Ardila from San Francisco State University - filmed at MSRI. More links & stuff in full description below ↓↓↓ Federico previously on <a href='https://www.youtu.be/OfEv5ZdSrhY' target='_blank' rel='nofollow'>Numberphile</a> Federico's <a href='http://math.sfsu.edu/federico/' target='_blank' rel='nofollow'>webpage</a> Antarctica <a href='https://www.youtu.be/o71TFQBTCG0' target='_blank' rel='nofollow'>Timelapse</a> <a href='https://www.youtube.com/c/objectivity_videos' target='_blank' rel='nofollow'>Objectivity</a> Thanks to our Patrons, including: Jeremy Buchanan, Arjun Chakroborty, Yuriy Panov, Jeff Straathof, Susan Silver, Andy, Yana Chernobilsky, Christian Cooper, James Bissonette, Ken Baron, Bill Shillito, Ben, Tony Fadell, Turner Lehmbecker, Bernd Sing, Dr Jubal John, Thomas Buckingham, Adam Savage, Roman Pinchuk, Tianyu Ge, john buchan, Joshua Davis, Steve Crutchfield, Jon Padden, Kristo Käärmann, Vali Dobrota, D Hills, Eric Mumford, Charles Southerland, Arnas, Ian George Walker, Tracy Parry, George Greene, Igor Sokolov, Alfred Wallace, Bodhisattva Debnath <a href='http://www.patreon.com/numberphile' target='_blank' rel='nofollow'>Patreon</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 <a href='https://www.simonsfoundation.org/outreach/science-sandbox/' target='_blank' rel='nofollow'>science.</a> And support from Math For <a href='https://www.mathforamerica.org/' target='_blank' rel='nofollow'>America -</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> Videos by Brady Haran Editing and animation by Pete McPartlan 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></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=94963&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 - 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