{"id":147,"date":"2014-01-24T21:41:17","date_gmt":"2014-01-24T21:41:17","guid":{"rendered":"https:\/\/www.cescoreale.com\/?post_type=project&#038;p=147"},"modified":"2018-02-25T21:49:57","modified_gmt":"2018-02-25T21:49:57","slug":"4d-immaginare-la-quarta-dimensione-spaziale","status":"publish","type":"project","link":"https:\/\/www.cescoreale.com\/es\/project\/4d-immaginare-la-quarta-dimensione-spaziale\/","title":{"rendered":"4D &#8211; Imagining the 4th spatial dimension"},"content":{"rendered":"<p>[et_pb_section fullwidth=\u00bbon\u00bb background_color=\u00bb#1e73be\u00bb inner_shadow=\u00bboff\u00bb parallax=\u00bboff\u00bb][et_pb_fullwidth_header admin_label=\u00bbFullwidth Header\u00bb title=\u00bb4D &#8211; Imagining the 4th spatial dimension\u00bb background_layout=\u00bbdark\u00bb text_orientation=\u00bbleft\u00bb \/][\/et_pb_section][et_pb_section][et_pb_row][et_pb_column type=\u00bb3_4&#8243;][et_pb_text admin_label=\u00bbText\u00bb background_layout=\u00bblight\u00bb text_orientation=\u00bbleft\u00bb]<\/p>\n<p><a href=\"http:\/\/youtu.be\/uHApN7vSIr4\">Presentation video (Sant&#8217;Antioco 2014)<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=btcW_Qkqm9o&#038;index=4&#038;list=PLzUsP_uF2QwaCC3sQ-U24MI7P0yG3dQkz\">Detailed video (BergamoScienza 2015)<\/a><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ZnDDzmOuBdU&#038;index=5&#038;list=PLzUsP_uF2QwaCC3sQ-U24MI7P0yG3dQkz\">Video \u00abGames in 4 dimensions\u00bb (Board Game Studies 2015, Swiss Museum of Games)<\/a><\/p>\n<p><a href=\"https:\/\/plus.google.com\/u\/0\/photos\/117293336908517906992\/albums\/5922014970155071409?hl=ca\">Photos and short videos (Festival of Science 2012)<\/a><\/p>\n<p>Report on Radio3Scienza of 1.11.2012 (Paolo Conte)<\/p>\n<audio class=\"wp-audio-shortcode\" id=\"audio-147-1\" preload=\"none\" style=\"width: 100%;\" controls=\"controls\"><source type=\"audio\/wav\" src=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/01\/RADIO3SCIENZA_del_01_11_2012_-4D_10kHz.wav?_=1\" \/><a href=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/01\/RADIO3SCIENZA_del_01_11_2012_-4D_10kHz.wav\">https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/01\/RADIO3SCIENZA_del_01_11_2012_-4D_10kHz.wav<\/a><\/audio>\n<p><span style=\"color: #ffffff;\">.<\/span><\/p>\n<p><span style=\"color: #ffffff;\">.<\/span>Article on XlaTangente: <a href=\"http:\/\/www.xlatangente.it\/upload\/files\/Over%2025\/Fuoribordo\/Articolo4d.pdf\">http:\/\/www.xlatangente.it\/upload\/files\/Over%2025\/Fuoribordo\/Articolo4d.pdf<\/a><\/p>\n<p><a href=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/01\/4D-ipercubi4d.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-149 alignright\" src=\"https:\/\/www.cescoreale.com\/wp-content\/uploads\/2014\/01\/4D-ipercubi4d-300x262.jpg\" alt=\"4D-ipercubi4d\" width=\"227\" height=\"196\" \/><\/a>The audiovisual technology has made familiar terms such as 2D or 3D. But does it make sense to talk about 4D , that is a fourth dimension? As in the novel Flatland , in which a square discovers the third dimension , the workshop is based on the idea of imagining higher dimensions from the lower ones. How can a 2D being think a 3D world ? And then , similarly, how can we, 3D beings, imagine the fourth spatial dimension ? \u00a0Exhibits and interactive activities guide us into this path: shadows, soap bubbles, laser sections, \u00a0geometric models to be constructed, videos, artworks , and even strategy games in 4D !<\/p>\n<p>Concept: Cesco Reale (<a href=\"http:\/\/www.tuttoenumero.it\/\">Festival of Mathematical Games <\/a>), Roberto Giunti (Liceo Leonardo di Brescia), Piergiuseppe Cassone (Confindustria Bergamo)<\/p>\n<p>Realisation: Luciano Franceschi ( <a href=\"http:\/\/www.cemea.it\">CEMEA Veneto<\/a> )<\/p>\n<p>Scientific review : <a href=\"http:\/\/www.umpa.ens-lyon.fr\/~ghys\/\">Etienne Ghys<\/a> ( Ecole Normale Sup\u00e9rieure in Lyon)<\/p>\n<p>With the support of the<a href=\"http:\/\/www.festivalscienza.it\"> Festival of Science.<\/a><\/p>\n<p>Thanks to:<\/p>\n<p>&#8211; <a href=\"http:\/\/www.gigamic.com\/\">Gigamic<\/a> (France) and <a href=\"http:\/\/www.oliphante.it\/\">Oliphante<\/a> ( Italy ) , for providing the games Cubulus ;<\/p>\n<p>&#8211; <a href=\"https:\/\/www.cescoreale.com\/wp-admin\/www.josleys.com\/%E2%80%8E\">Jos Leys <\/a>(Belgium) for the coordinates of solids for CAD drawings ;<\/p>\n<p>&#8211; Shai Nathan (Israel ) , shai_nathan@msn.com , for the realisation of the CAD drawings ;<\/p>\n<p>&#8211; Serge Droz (Switzerland) , for 3D prints ;<\/p>\n<p>&#8211; <a href=\"http:\/\/www.toonz.com\/personal\/todesco\/\">Gian Marco Todesco <\/a>, for providing some programs .exe about the fourth dimension ;<\/p>\n<p>&#8211; Marine Schweitzer (France) , for sections of solids for the flipbooks ;<\/p>\n<p>&#8211; Stefania Ritzu Lalia , for the panels on the fourth dimension in the art ;<\/p>\n<p>&#8211; Nicola Reale , for the layouts ;<\/p>\n<p>&#8211; Adrian Tanner ( Esperantujo ) , for providing the game AnaKvataro (Connect 4D) of his own invention ;<\/p>\n<p>&#8211; Alessandro Cattaneo , for technical support ;<\/p>\n<p>&#8211; And the fantastic team of scientific explainers : Marco Caselli, Emilio Esposito,\u00a0Margherita Redavid and Laura Tozzo.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=\u00bb1_4&#8243;][et_pb_sidebar admin_label=\u00bbSidebar\u00bb orientation=\u00bbleft\u00bb area=\u00bbet_pb_widget_area_2&#8243; background_layout=\u00bblight\u00bb \/][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p><div class=\"et_pb_section et_pb_section_0 et_section_regular\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_pb_row et_pb_row_0 et_pb_row_empty\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div> Presentation video (Sant&#8217;Antioco 2014) Detailed video (BergamoScienza 2015) Video \u00abGames in 4 dimensions\u00bb (Board Game Studies 2015, Swiss Museum of Games) Photos and short videos (Festival of Science 2012) Report on Radio3Scienza of 1.11.2012 (Paolo Conte) . .Article on XlaTangente: http:\/\/www.xlatangente.it\/upload\/files\/Over%2025\/Fuoribordo\/Articolo4d.pdf The audiovisual technology has made familiar terms such as 2D or 3D. But [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":774,"comment_status":"open","ping_status":"open","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<p>Il laboratorio \"4D - Immaginare la quarta dimensione\" \u00e8 stato presentato al Festival della Scienza 2012.<\/p><p><a href=\"https:\/\/plus.google.com\/u\/0\/photos\/117293336908517906992\/albums\/5922014970155071409?hl=ca\">Foto e video<\/a><\/p><p><a href=\"http:\/\/www.tuttoenumero.it\/wp-content\/uploads\/2013\/09\/RADIO3SCIENZA_del_01_11_2012_-4D_10kHz.wav\">Servizio su Radio3scienza del 1.11.2012 (di Paolo Conte)<\/a><\/p><p>La tecnologia audiovisiva ci ha reso familiari termini come 2D o 3D. Ma ha senso parlare di 4D, cio\u00e8 di una quarta dimensione? Come nel romanzo Flatland, in cui un quadrato scopre la terza dimensione, il laboratorio \u00e8 basato sull'idea di immaginare le dimensioni superiori a partire da quelle inferiori. Come pu\u00f2 un essere 2D pensare un mondo 3D? E poi, analogamente, come possiamo noi esseri 3D immaginare la quarta dimensione spaziale? A guidarci sono exhibit e attivit\u00e0 interattive: ombre cinesi, bolle di sapone, sezioni laser, modelli geometrici da costruire, video, opere d'arte e perfino giochi di strategia in 4D!<\/p><p>Ideazione: Cesco Reale (<a href=\"http:\/\/www.tuttoenumero.it\">Festival di Giochi Matematici<\/a>), Roberto Giunti (Liceo Leonardo di Brescia)<br \/> Realizzazione: Luciano Franceschi (<a href=\"http:\/\/www.cemea.it\">CEMEA Veneto<\/a>)<br \/> Revisione scientifica : <a href=\"http:\/\/www.umpa.ens-lyon.fr\/~ghys\/\">Etienne Ghys<\/a> (Ecole Normale Sup\u00e9rieure Lyon)<br \/> Con il supporto del <a href=\"http:\/\/www.festivalscienza.it\">Festival della Scienza<\/a>.<\/p><p>\u00a0<\/p><p>Si ringraziano:<\/p><p>- <a href=\"http:\/\/www.gigamic.com\/\">Gigamic<\/a> (Francia) e <a href=\"http:\/\/www.oliphante.it\/\">Oliphante<\/a> (Italia), per aver fornito i giochi Cubulus;<\/p><p>- <a href=\"www.josleys.com\/\u200e\">Jos Leys <\/a>(Belgio) per le coordinate dei solidi per i disegni CAD;<\/p><p>- Shai Nathan (Israele), shai_nathan@msn.com, per la realizzazione dei disegni in CAD;<\/p><p>- Serge Droz (Svizzera), per le stampe 3D;<\/p><p>- <a href=\"http:\/\/www.toonz.com\/personal\/todesco\/\">Gian Marco Todesco<\/a>, per aver messo a disposizione alcuni programmi .exe sulla quarta dimensione;<\/p><p>- Marine Schweitzer (Francia), per le sezioni dei solidi per i libri animati;<\/p><p>- Stefania Ritzu Lalia, per i pannelli sulla quarta dimensione nell'arte;<\/p><p>- Nicola Reale, per le impaginazioni;<\/p><p>- Adrian Tanner (Esperantujo), per aver messo a disposizione il gioco AnaKvataro (Forza 4D) di sua invenzione;<\/p><p>- Alessandro Cattaneo, per il supporto tecnico;<\/p><p>- e la fantastica squadra degli animatori scientifici: Marco Caselli, Emilio Esposito, Margherita Redavid e Laura Tozzo.<\/p>","_et_gb_content_width":"","footnotes":""},"project_category":[8,31,28,19],"project_tag":[],"class_list":["post-147","project","type-project","status-publish","has-post-thumbnail","hentry","project_category-mathematics","project_category-maths-talks","project_category-maths-workshops","project_category-workshops"],"_links":{"self":[{"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project\/147","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project"}],"about":[{"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/types\/project"}],"author":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/comments?post=147"}],"version-history":[{"count":46,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project\/147\/revisions"}],"predecessor-version":[{"id":947,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project\/147\/revisions\/947"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/media\/774"}],"wp:attachment":[{"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/media?parent=147"}],"wp:term":[{"taxonomy":"project_category","embeddable":true,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project_category?post=147"},{"taxonomy":"project_tag","embeddable":true,"href":"https:\/\/www.cescoreale.com\/es\/wp-json\/wp\/v2\/project_tag?post=147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}