OggS qf .uOpusHead8 OggS qf WOpusTags Lavf56.4.101 language=eng handler_name=SoundHandler encoder=Lavc56.1.100 libopus major_brand=isom minor_version=512" compatible_brands=isomiso2avc1mp41 author=Henry Segerman genre=talk( title=3D printed sculptures of 4D thingsT copyright=Licensed to the public under http://creativecommons.org/licenses/by-sa/4.0 album=EMF Camp 2016c 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. artist=Henry SegermanOggS qf &B\{n1>)9Rnw y@O?#ӠЙ(QQK\_F >דZx>6I/\aVez0 \Ez\BpNZ3 4Nf:%UfDz#\&rrR YUy '~JetL`Os8cjXM#틅{&G|1@zI+IfhFAٌ=n}!!.a('ηc=Iz4 *6)>tҿ-8oƥXJ̙0>PJZUJ j=DYro|%:Q(q|CUo%4PHXcAW݈|@ C|A4E%6.y1cGGMQ31dL(!iUHoٜ)lZHpTzEQ.wZF>ZI-E+V~2~_-&iEs&Ψ8s<$ZX\;A~Vw+7L$lI 3@#x4@mw'!~B@AXDT46퐄bOl1͆5 &v-)n$e:6Rɪ?jb|wyyL0Yp~FC_|@-^9]̡j"atu["&m@/AM.tąN$Cn%ws p˖\r<O}? <<|nlviCi)~6oV)o-o(V"7H(""" ߁VNNNNONƮ< ʑ: ;&ҶO#D(Ϗw|C_/Q踂?t9db(Q/ib_\XGU=>"r/Z(ˁLz DଦT̲@XdM*x퍴ί"Ӻ@FO:bεTt/,d+T֝;vP0¦05S53D篸\WӃ|Im=g9הʂkxyf^Q ; LS~ɠd&q&8|Py2CLe]R쫚Zta$R]`uv{_>I1pk[:%=jnTU0{Ah?P8O`~ yG$r0#^WI0ۖb'^ţ_ɇpYs|Og*h ՔJ!leoĉNz#K0jMȻ6:ϩZqDź]x ^NkVW;'moæPRAGJJNJ|*~i{%58tG5-Qޡ1, qu9P29K#\|m̜v O] ,AMt&"91pɇ).=6(Y1lʏhflm-\k^G&$t51{\V!ؙdnv8>1nPWIYbnբ1cozl&mА\} Yɯ'k1 oxq҆9J|öi^\ ("`Ռڑ9k7 9;c2#)feـٯyWᩚø{I w@=% 0sj+X4G/Ҁwu&=,n<0;;\?a>̑̏L"6L@`Z :f@>.m2=Д˷ t#Mb t42H|Yeh Žԫ