{"guid":"317206d0-d1ac-53ee-840e-f9e04bf38eb1","title":"3D printed sculptures of 4D things","subtitle":null,"slug":"emf2016-160-3d-printed-sculptures-of-4d-things","link":"https://www.emfcamp.org/schedule.frab","description":"I am a mathematician (working mostly in three-dimensional geometry and topology) and mathematical artist (working mostly in 3D printing). I'll talk about some 3D prints I designed to help try to visualise four-dimensional objects. Just as a shadow of a three-dimensional object squishes it into the two-dimensional plane, we can squish a four-dimensional shape into three-dimensional space, where we can then make a sculpture of it. If the four-dimensional object isn't too complicated and we choose a good way to squish it, then we can get a very good sense of what it is like. I'll talk about the sphere in four-dimensional space, the four-dimensional polytopes (which are the four-dimensional versions of the three-dimensional polyhedra), and various sculptures, puzzles, and virtual reality experiences that have come from thinking about these things.","original_language":"eng","persons":["Henry Segerman"],"tags":[],"view_count":159,"promoted":false,"date":"2016-08-05T17:50:00.000+02:00","release_date":"2016-08-07T02:00:00.000+02:00","updated_at":"2025-02-22T19:15:04.753+01:00","length":3305,"duration":3305,"thumb_url":"https://static.media.ccc.de/media/events/emf/2016/160-hd.jpg","poster_url":"https://static.media.ccc.de/media/events/emf/2016/160-hd_preview.jpg","timeline_url":"https://static.media.ccc.de/media/events/emf/2016/317206d0-d1ac-53ee-840e-f9e04bf38eb1-timeline.jpg","thumbnails_url":"https://static.media.ccc.de/media/events/emf/2016/317206d0-d1ac-53ee-840e-f9e04bf38eb1-thumbnails.vtt","frontend_link":"https://media.ccc.de/v/emf2016-160-3d-printed-sculptures-of-4d-things","url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_title":"Electromagnetic Field 2016","conference_url":"https://api.media.ccc.de/public/conferences/emf16","related":[{"event_id":22,"event_guid":"import-d9fdeee55d49ce271e","weight":3},{"event_id":2481,"event_guid":"61faba33-5bfa-4c58-a864-d527c6f31b7d","weight":2},{"event_id":2975,"event_guid":"289a568d-bb4f-43a4-9f3d-f41114bb1aa5","weight":2},{"event_id":3249,"event_guid":"8ec92aac-5807-5ceb-934a-e971c7e63205","weight":2},{"event_id":3262,"event_guid":"2444d38b-af0e-5403-a175-7b609dde96df","weight":2},{"event_id":3295,"event_guid":"4b7e9594-629b-54a9-993e-c621425bd0e0","weight":2},{"event_id":3300,"event_guid":"06154436-afef-5abd-8afb-44112e070087","weight":2},{"event_id":3310,"event_guid":"22109d54-7493-532b-ab78-6db43bbe6cdf","weight":3},{"event_id":3729,"event_guid":"56ec19c0-9844-46d6-b728-7a8217b8ed38","weight":3}],"recordings":[{"size":470,"length":3305,"mime_type":"video/webm","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things_webm-hd.webm","state":"new","folder":"webm-hd","high_quality":true,"width":1920,"height":1080,"updated_at":"2016-08-07T10:14:31.550+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/webm-hd/emf16-160-eng-3D_printed_sculptures_of_4D_things_webm-hd.webm","url":"https://api.media.ccc.de/public/recordings/11598","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"},{"size":50,"length":3294,"mime_type":"audio/mpeg","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things.mp3","state":"new","folder":"mp3","high_quality":false,"width":0,"height":0,"updated_at":"2016-08-07T11:12:37.382+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/mp3/emf16-160-eng-3D_printed_sculptures_of_4D_things.mp3","url":"https://api.media.ccc.de/public/recordings/11620","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"},{"size":157,"length":3305,"mime_type":"video/webm","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things_webm-sd.webm","state":"new","folder":"webm-sd","high_quality":false,"width":720,"height":576,"updated_at":"2016-08-07T11:13:31.984+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/webm-sd/emf16-160-eng-3D_printed_sculptures_of_4D_things_webm-sd.webm","url":"https://api.media.ccc.de/public/recordings/11621","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"},{"size":40,"length":3294,"mime_type":"audio/opus","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things.opus","state":"new","folder":"opus","high_quality":false,"width":0,"height":0,"updated_at":"2016-08-07T11:14:11.081+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/opus/emf16-160-eng-3D_printed_sculptures_of_4D_things.opus","url":"https://api.media.ccc.de/public/recordings/11622","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"},{"size":125,"length":3305,"mime_type":"video/mp4","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things_sd.mp4","state":"new","folder":"h264-sd","high_quality":false,"width":720,"height":576,"updated_at":"2016-08-07T11:15:05.819+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/h264-sd/emf16-160-eng-3D_printed_sculptures_of_4D_things_sd.mp4","url":"https://api.media.ccc.de/public/recordings/11623","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"},{"size":426,"length":3305,"mime_type":"video/mp4","language":"eng","filename":"emf16-160-eng-3D_printed_sculptures_of_4D_things_hd.mp4","state":"new","folder":"h264-hd","high_quality":true,"width":1920,"height":1080,"updated_at":"2016-08-07T03:04:03.337+02:00","recording_url":"https://cdn.media.ccc.de/events/emf/2016/h264-hd/emf16-160-eng-3D_printed_sculptures_of_4D_things_hd.mp4","url":"https://api.media.ccc.de/public/recordings/11591","event_url":"https://api.media.ccc.de/public/events/317206d0-d1ac-53ee-840e-f9e04bf38eb1","conference_url":"https://api.media.ccc.de/public/conferences/emf16"}]}