2a:null 2b:["$","title",null,{"children":"Dan Reznik's Videos and Applets (2019-2021) | Dan S. Reznik | Observable"}] 30:[{"id":"a2e9648b560690364c3ef727f95e07edefb6ef9f0dc330f4c966a7af9bc71cd52d54f49b2b9cfea71a7c16bcbc6867adbc353eafb0e03b8caa293036859f3767","href":"https://static.observableusercontent.com/files/a2e9648b560690364c3ef727f95e07edefb6ef9f0dc330f4c966a7af9bc71cd52d54f49b2b9cfea71a7c16bcbc6867adbc353eafb0e03b8caa293036859f3767","name":"app_echos.png","type":"image/png","lastModified":1636911878121.772,"size":168258},{"id":"f066888e990b00419d186d2a9b4bac6120e53d9abfc667a777a1d9b3515a670ddbde1869904facae4f09a439ca5ffb6005bc9d68408a367961064c1290db6e15","href":"https://static.observableusercontent.com/files/f066888e990b00419d186d2a9b4bac6120e53d9abfc667a777a1d9b3515a670ddbde1869904facae4f09a439ca5ffb6005bc9d68408a367961064c1290db6e15","name":"app_loci.png","type":"image/png","lastModified":1636911878121.772,"size":367262},{"id":"beaab5b9fdeb058977dd4f38582a99a3b6847443700c527fa91645a152b3b6a4a94f62855d4509b2f2b4e123e9e3030cbfbfe6533477e4a15eaa3f0c27091905","href":"https://static.observableusercontent.com/files/beaab5b9fdeb058977dd4f38582a99a3b6847443700c527fa91645a152b3b6a4a94f62855d4509b2f2b4e123e9e3030cbfbfe6533477e4a15eaa3f0c27091905","name":"logo_mathematica.png","type":"image/png","lastModified":1636911878121.772,"size":31128},{"id":"47956016f6ba4854ffcfd51fe69c9c6511562d9042c3f585f9821373b38252f710b99e543802d9b60d7006f7e662fc4fde7f0a3cf11fb839900e7e5b67f0d5fc","href":"https://static.observableusercontent.com/files/47956016f6ba4854ffcfd51fe69c9c6511562d9042c3f585f9821373b38252f710b99e543802d9b60d7006f7e662fc4fde7f0a3cf11fb839900e7e5b67f0d5fc","name":"logo_youtube.png","type":"image/png","lastModified":1636911878121.772,"size":49675}] 2e:{"id":"d8dc16e46419299b","slug":"dan-rezniks-videos-and-applets-2019-2021","title":"Dan Reznik's Videos and Applets (2019-2021)","thumbnail":"4577adb7969f7e1bf18bbc533a430580581ad6872c52c24ef695d06b6a117323","access_level":"public","create_time":"$D2021-11-14T17:44:38.121Z","update_time":"$D2021-11-14T17:46:01.363Z","view_time":null,"first_public_time":"$D2021-11-14T17:46:32.651Z","fork":{"id":"b756f29eae8ba428","slug":"poncelet-media-assets","title":"Poncelet Phenomena in the Euclidean Plane (2019-2021)","owner":{"id":"5f70011df0350296","login":"dan-reznik","name":"Dan S. Reznik"}},"stars":0,"starred":false,"owner":{"type":"team","id":"5f70011df0350296","login":"dan-reznik","name":"Dan S. Reznik","avatar_url":"https://avatars-next.observableusercontent.com/34300050560dea2b36d63efd30e3f07e6f455717f9e917936080d33429d8b426","tier":"starter_2024"},"version":795,"publish_version":795,"role":null,"authored":false,"authors":[{"type":"individual","id":"bda3bb7cbffeec7d","login":"dan-reznik","name":"Dan S. Reznik","avatar_url":"https://avatars-next.observableusercontent.com/34300050560dea2b36d63efd30e3f07e6f455717f9e917936080d33429d8b426","tier":null}],"members":[{"type":"individual","id":"bda3bb7cbffeec7d","login":"dan-reznik","name":"Dan S. Reznik","avatar_url":"https://avatars-next.observableusercontent.com/34300050560dea2b36d63efd30e3f07e6f455717f9e917936080d33429d8b426","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"subscribed":null,"forks":0,"collection":{"id":"6543aeb6f72c303d","slug":"elliptic-billiards","title":"Poncelet Phenomena","owner":{"id":"5f70011df0350296","login":"dan-reznik","name":"Dan S. Reznik"}},"type":"notebook","body":{"title":"Dan Reznik's Videos and Applets (2019-2021)","cells":[{"id":30,"value":"md`# Dan Reznik's Videos and Applets (2019-2021)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":0,"value":"md`## Videos

(${dt_videos.numRows()})`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":568,"value":"viewof ponc_topic = Inputs.select(['All',...new Set(dt_videos_filtered.columnArray('Topic'))], {value: \"All\", label: \"video topic\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":101,"value":"viewof dt_videos_search = Inputs.search(dt_videos_filtered.rename({Link:'youtu.be/...'}).filter(aq.escape(d=>ponc_topic===\"All\"|d.Topic===ponc_topic)).objects())","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":16,"value":"viewof table_videos = Inputs.table(dt_videos_search,{\n format:{'youtu.be/...':hyperlink_video(re_video)},\n width:{row:30,Topic:100,N:20,Title:400,'X(k)':50,'youtu.be/...':150},align:{row:'center',N:'left'}})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":28,"value":"md`## Applets

(${dt_applets.numRows()})`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":590,"value":"viewof applet_topic = Inputs.select(['All',...new Set(dt_applets_filtered.columnArray('Topic'))], {value: \"All\", label: \"applet topic\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":106,"value":"viewof dt_applets_search = Inputs.search(dt_applets_filtered.filter(aq.escape(d=>applet_topic===\"All\"|d.Topic===applet_topic)).objects())","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":45,"value":"viewof table_applets=Inputs.table(dt_applets_search,{format:{Link:hyperlink_video(re_applet)},\n width:{row:30,Topic:100,N:20,Title:400}})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":410,"value":"md`## Interactive Apps (in Javascript)\n(click on the pictures)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":413,"value":"html`

1. Locus Lab

docs, demo video, locus gallery, code repo`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":417,"value":"html`

2. Ellipse Echos

demo video, code repo`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":465,"value":"md`## Webpages\n1. w/ R. Garcia, J. Koiller, [*Invariants of N-Periodics in an Elliptic Billiard*](https://dan-reznik.github.io/Elliptical-Billiards-Triangular-Orbits/), 2019.\n1. [*Triangles and Ellipses: Pages and Media*](https://dan-reznik.github.io/Elliptical-Billiards-Triangular-Orbits/videos.html), 2020.\n1. [*Loci of N-Periodic Centers and Their Internal Triangles*](https://dan-reznik.github.io/billiard-loci/), 2020.\n1. [*Envelopes of Triangle Center Pairs*](https://dan-reznik.github.io/billiard-envelopes/), 2020.\n1. w/ M. Helman, [*Extremal Area Pedal and Antipedal Triangles*](https://dan-reznik.github.io/extremal-pedal-antipedal/), 2020.\n1. w/ I. Darlan, [*Loci of Ellipse-Mounted Triangle Centers*](https://dan-reznik.github.io/ellipse-mounted-triangles/), 2020.\n1. w/ R. Garcia, [*Loci of 3-periodics in the Elliptic Billiard: Why so many ellipses?*](https://dan-reznik.github.io/why-so-many-ellipses/), 2020.\n1. [*Isodynamic Map (live GPU)*](https://dan-reznik.github.io/Isodynamic-Map-GPU/), 2021.\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":629,"value":"md`## GitHub Code Repos\n1. [Locus Visualization App](https://github.com/dan-reznik/ellipse-mounted-loci-p5js), 2020-2021.\n1. [Why So Many Ellipses?](https://dan-reznik.github.io/why-so-many-ellipses/), 2020.\n1. [Port of Fukushima's Fortran-90 Jacobi Elliptic Functions](https://github.com/dan-reznik/jacobi-elliptic), 2021.\n1. [Elliptic Billiard Original Website](https://github.com/dan-reznik/Elliptical-Billiards-Triangular-Orbits), 2019-2020.\n1. [Isodynamic Map (GPU)](https://github.com/dan-reznik/Isodynamic-Map-GPU), 2021.\n1. [Ellipse Echos](https://github.com/dan-reznik/ellipse-echo-p5js), 2021.\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":398,"value":"md`## Observable Pages\n1. Billiard 3-periodics & spatio-temporal: [link](https://observablehq.com/@dan-reznik/elliptic-billiard-triangle)\n1. Claudio Esperança's 3d spatio-temporal viz: [link](https://observablehq.com/@esperanc/3-periodic-elliptical-billiards-3d-sweep)\n1. Poncelet's Closure Theorem: [link](https://observablehq.com/@dan-reznik/poncelet-iteration?collection=@dan-reznik/elliptic-billiards)\n1. Jacobi's Elliptic Functions: [link](https://observablehq.com/@dan-reznik/jacobi-elliptic-functions?collection=@dan-reznik/elliptic-billiards)\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":604,"value":"ponc_anim","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":48,"value":"md`### Appendix`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":282,"value":"hyperlink_video = function(re) { return x => htl.html`${x.replace(re,\"\")}`; }","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":150,"value":"{\n viewof table_videos.classList.add(\"my_styled_table\");\n viewof table_applets.classList.add(\"my_styled_table\");\n return 'from: https://observablehq.com/@pbogden/observable-input-table';\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":384,"value":"dt_applets_filtered=dt_applets\n.select(aq.not('id','ok','Year'))\n.rename({'Section':'Topic','url':'Link'})\n.derive({row:op.row_number()},{before:0})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":254,"value":"dt_videos_filtered = dt_videos\n.select(aq.not('sound','id','Video2','Video3','Year'))\n.rename({'Section':'Topic','Kimberling Centers':'X(k)','Video1':'Link'})\n.derive({row: op.row_number()},{before:0})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":295,"value":"re_applet=new RegExp('^.*b021/')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":268,"value":"re_video = new RegExp('^.*\\/');","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":10,"value":"dt_videos = aq.loadCSV(url_videos)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":26,"value":"dt_applets = aq.loadCSV(url_applets)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":7,"value":"url_videos='https://docs.google.com/spreadsheets/d/e/2PACX-1vQ5UGbhD_7gCMq1iISnE1TmGzVEHVNGTYrW6uyYMgGouYdNufPAiSnSpOJyGD4EuGrLekEkmiL3unaO/pub?gid=0&single=true&output=csv'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":21,"value":"url_applets = \"https://docs.google.com/spreadsheets/d/e/2PACX-1vQ5UGbhD_7gCMq1iISnE1TmGzVEHVNGTYrW6uyYMgGouYdNufPAiSnSpOJyGD4EuGrLekEkmiL3unaO/pub?gid=437148195&single=true&output=csv\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":600,"value":"import {ponc_anim} from '@dan-reznik/poncelet-iteration'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"},{"id":11,"value":"import {op,aq} from '@uwdata/arquero'","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined"}],"files":"$W30","stdlib":"1","titling":"auto"}} 2f:"$2e:body"