Polar Curves What is a Lemniscate

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=dLXwglZs5EI

This animation, created using MATLAB, illustrates the formation of the 2 standard lemniscates, curves typically defined using the polar equations, r^2 = a^2*cos(2*theta) or the equivalent sine-function version. We only need consider angles [0, pi] since the period of cos(2*theta) and sin(2*theta) is pi (not 2*pi). One caveat is that for certain angles, the polar coordinate r is purely imaginary, and thus the graph shows only the real part, r = 0, on such intervals.","styleRuns":[{"startIndex":0,"length":469,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":469,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CL4BELsvGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2RMWHdnbFpzNUVJGAYyJSIRIgtkTFh3Z2xaczVFSTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CL4BELsvGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL0BELovIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"Z35tdSGELL0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Z35tdSGELL0/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AHsBIAC4AOKAgwIABABGGIgYihiMA8= rs=AOn4CLC7uzlwTRM-jKDlwQQrn_rlYHInDw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Z35tdSGELL0/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB7ASAAuADigIMCAAQARhiIGIoYjAP rs=AOn4CLB3YSjivKcFyAleAEvgktIEAjqllQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"What is a Parabola? (Geometry and Equation) by Jonathan Mitchell 2,114 views 11 years ago 1 minute, 39 seconds"}},"simpleText":"What is a Parabola? (Geometry and Equation)"},"longBylineText":{"runs":[{"text":"Jonathan Mitchell","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorMitchell","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCLMQ21H2ad95faYG3yGCwYA","canonicalBaseUrl":"/@MathDoctorMitchell"}}}]},"publishedTimeText":{"simpleText":"11 years ago"},"viewCountText":{"simpleText":"2,114 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 minute, 39 seconds"}},"simpleText":"1:39"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWRIwsizs6WQ_Np0mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Z35tdSGELL0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Z35tdSGELL0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=677e6d7521842cbd ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=763750 mt=1739726692 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMQ rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"Jonathan Mitchell","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorMitchell","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCLMQ21H2ad95faYG3yGCwYA","canonicalBaseUrl":"/@MathDoctorMitchell"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_msRvviWHI40w3MMgj-m1-U155WiiDydlnJeFY2zAUqzbQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IERAvdmQjNKum79n","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"2.1K views"}},"simpleText":"2.1K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z35tdSGELL0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z35tdSGELL0"],"params":"CAQ%3D"}},"videoIds":["Z35tdSGELL0"]}},{"clickTrackingParams":"CLsBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","offlineVideoEndpoint":{"videoId":"Z35tdSGELL0","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","getDownloadActionCommand":{"videoId":"Z35tdSGELL0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtaMzV0ZFNHRUxMMA%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIlZu4tNzIiwMVqHZ6BR3deSBE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQ=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAAiEwiVm7i03MiLAxWodnoFHd15IEQ=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 minute, 39 seconds"}},"simpleText":"1:39"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Z35tdSGELL0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Z35tdSGELL0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z35tdSGELL0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z35tdSGELL0"],"params":"CAQ%3D"}},"videoIds":["Z35tdSGELL0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"What is a Parabola? (Geometry and Equation) - 1 minute, 39 seconds - Go to channel - Jonathan Mitchell - 2.1K views - 11 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"dyx6R827CQ0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/dyx6R827CQ0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCh-GR_ZFH36alotVxAd7sIgS-O2A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/dyx6R827CQ0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA8xL9BfWECIEZ8NbU_Kj5B_Aj65Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lemniscate Graphs by Mrs. Sapp 3,479 views 4 years ago 2 minutes, 49 seconds"}},"simpleText":"Lemniscate Graphs"},"longBylineText":{"runs":[{"text":"Mrs. Sapp","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MrsSapp-nz1zj","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCY6nGNMu8W8r88vKprXCzow","canonicalBaseUrl":"/@MrsSapp-nz1zj"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"3,479 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"2 minutes, 49 seconds"}},"simpleText":"2:49"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWRIwsizs6WQ_Np0mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=dyx6R827CQ0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"dyx6R827CQ0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=772c7a47cdbb090d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1523750 mt=1739726692 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMQ rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"Mrs. Sapp","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MrsSapp-nz1zj","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCY6nGNMu8W8r88vKprXCzow","canonicalBaseUrl":"/@MrsSapp-nz1zj"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_netmvu2WIuz2R3vsAcUEeUkZEPDyY1gLYRPQCusxcZvQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IERAjZLs7fzInpZ3","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3.4K views"}},"simpleText":"3.4K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dyx6R827CQ0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dyx6R827CQ0"],"params":"CAQ%3D"}},"videoIds":["dyx6R827CQ0"]}},{"clickTrackingParams":"CLQBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","offlineVideoEndpoint":{"videoId":"dyx6R827CQ0","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","getDownloadActionCommand":{"videoId":"dyx6R827CQ0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtkeXg2UjgyN0NRMA%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIlZu4tNzIiwMVqHZ6BR3deSBE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQ=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAEiEwiVm7i03MiLAxWodnoFHd15IEQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"2 minutes, 49 seconds"}},"simpleText":"2:49"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"dyx6R827CQ0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"dyx6R827CQ0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"dyx6R827CQ0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["dyx6R827CQ0"],"params":"CAQ%3D"}},"videoIds":["dyx6R827CQ0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Lemniscate Graphs - 2 minutes, 49 seconds - Go to channel - Mrs. Sapp - 3.4K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"jO4lwddfeDA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/jO4lwddfeDA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDA6_fbBFtOwgViudKwfXRV63MnYA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/jO4lwddfeDA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBh3imfgWF5m02_bON9ctlYOpzk8A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How To Graph Polar Equations by The Organic Chemistry Tutor 729,680 views 3 years ago 20 minutes"}},"simpleText":"How To Graph Polar Equations"},"longBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"729,680 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"20 minutes, 33 seconds"}},"simpleText":"20:33"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWRIwsizs6WQ_Np0mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=jO4lwddfeDA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"jO4lwddfeDA","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=8cee25c1d75f7830 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=763750 mt=1739726692 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMQ rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lOQikQsmqQS3dG9VBvbJ03Eqqw7NshUvDNorj5UAZL6M0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IERAsPD9up24ifeMAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"729K views"}},"simpleText":"729K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jO4lwddfeDA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jO4lwddfeDA"],"params":"CAQ%3D"}},"videoIds":["jO4lwddfeDA"]}},{"clickTrackingParams":"CK0BEP6YBBgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgHIhMIlZu4tNzIiwMVqHZ6BR3deSBE","offlineVideoEndpoint":{"videoId":"jO4lwddfeDA","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgHIhMIlZu4tNzIiwMVqHZ6BR3deSBE","getDownloadActionCommand":{"videoId":"jO4lwddfeDA","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgHIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqTzRsd2RkZmVEQQ%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIlZu4tNzIiwMVqHZ6BR3deSBE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAIiEwiVm7i03MiLAxWodnoFHd15IEQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"20 minutes, 33 seconds"}},"simpleText":"20:33"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"jO4lwddfeDA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"jO4lwddfeDA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgDIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgDIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jO4lwddfeDA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgDIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jO4lwddfeDA"],"params":"CAQ%3D"}},"videoIds":["jO4lwddfeDA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgDIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"How To Graph Polar Equations - 20 minutes - Go to channel - The Organic Chemistry Tutor - 729K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"8Ez8CL4AQzM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/8Ez8CL4AQzM/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGH8gMih4MA8= rs=AOn4CLAKwCJH2X4Buq5Oz-Zf-ZnYDaN30A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/8Ez8CL4AQzM/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARh_IDIoeDAP rs=AOn4CLAhO1nCOjm3820KaAWJ8gG1rcU9Mg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"8.2.6 - Graphing a Lemniscate by Ant0nMath 30,704 views 11 years ago 8 minutes, 14 seconds"}},"simpleText":"8.2.6 - Graphing a Lemniscate"},"longBylineText":{"runs":[{"text":"Ant0nMath","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Ant0nMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9-pjCplwHKmbxrxn_Nh9mg","canonicalBaseUrl":"/@Ant0nMath"}}}]},"publishedTimeText":{"simpleText":"11 years ago"},"viewCountText":{"simpleText":"30,704 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"8 minutes, 14 seconds"}},"simpleText":"8:14"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWRIwsizs6WQ_Np0mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=8Ez8CL4AQzM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"8Ez8CL4AQzM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f04cfc08be004333 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=763750 mt=1739726692 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMQ rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"Ant0nMath","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Ant0nMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9-pjCplwHKmbxrxn_Nh9mg","canonicalBaseUrl":"/@Ant0nMath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lgHm8xCtGe9Py9GuXyJO-clB7XDGMcv0sE5AwnqeRlJQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IERAs4aB8IuBv6bwAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"30K views"}},"simpleText":"30K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"8Ez8CL4AQzM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["8Ez8CL4AQzM"],"params":"CAQ%3D"}},"videoIds":["8Ez8CL4AQzM"]}},{"clickTrackingParams":"CKYBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgFIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","offlineVideoEndpoint":{"videoId":"8Ez8CL4AQzM","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE","getDownloadActionCommand":{"videoId":"8Ez8CL4AQzM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgGIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs4RXo4Q0w0QVF6TQ%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMIlZu4tNzIiwMVqHZ6BR3deSBE","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQ=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAMiEwiVm7i03MiLAxWodnoFHd15IEQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"8 minutes, 14 seconds"}},"simpleText":"8:14"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"8Ez8CL4AQzM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"8Ez8CL4AQzM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgBIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"8Ez8CL4AQzM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["8Ez8CL4AQzM"],"params":"CAQ%3D"}},"videoIds":["8Ez8CL4AQzM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgCIhMIlZu4tNzIiwMVqHZ6BR3deSBE"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"8.2.6 - Graphing a Lemniscate - 8 minutes, 14 seconds - Go to channel - Ant0nMath - 30K views - 11 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/GMk3kMkFsWs/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAsE3mZM4RUWgJAtD0cyMbgLiw4jg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/GMk3kMkFsWs/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDZk6GReCV7m5lnHLInPIwE6-eYDg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"674 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3350558,"darkTheme":3350558}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4993325,"darkTheme":4993325}}},"stackColor":{"lightTheme":10055787,"darkTheme":9664886}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"GM Igor Smirnov's videos"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Remote Chess Academy

#############################