{"id":20787,"date":"2026-06-04T12:11:24","date_gmt":"2026-06-04T10:11:24","guid":{"rendered":"https:\/\/troposfera.xyz\/?p=20787"},"modified":"2026-06-04T16:12:59","modified_gmt":"2026-06-04T14:12:59","slug":"spatial-juggling-notation","status":"publish","type":"post","link":"https:\/\/troposfera.xyz\/es\/blog\/spatial-juggling-notation\/","title":{"rendered":"Notaci\u00f3 entre cos i l&#8217;objecte"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Des que investigo amb el di\u00e0bolo, una de les preguntes que torna \u00e9s com descriure el que passa amb prou precisi\u00f3 per poder-ho repetir, variar i ensenyar. La notaci\u00f3 de <em>siteswap<\/em> cobreix els llan\u00e7aments, per\u00f2 no descriu l&#8217;orientaci\u00f3 de l&#8217;objecte ni la relaci\u00f3 entre el cos i l&#8217;espai, i quan vols trobar figures noves de forma sistem\u00e0tica, la manca d&#8217;un sistema de refer\u00e8ncia espacial fa que moltes combinacions quedin sense explorar perqu\u00e8 no hi ha manera d&#8217;escriure-les.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El sistema XYZ neix d&#8217;aquesta necessitat. Faig servir X, Y i Z per descriure l&#8217;orientaci\u00f3 del malabarista i x, y i z per descriure la posici\u00f3 i la direcci\u00f3 de l&#8217;objecte respecte al cos. La combinaci\u00f3 dels dos eixos permet descriure qualsevol posici\u00f3 i traject\u00f2ria que un objecte pot rec\u00f3rrer, i el signe positiu o negatiu concreta la direcci\u00f3 del moviment al llarg de cada eix. L&#8217;article sobre <a href=\"https:\/\/troposfera.xyz\/blog\/de-vertax-a-diabolo-horitzontal-la-terminologia-xyz\/\">terminologia XYZ aplicada al di\u00e0bolo horitzontal<\/a> il\u00b7lustra com el sistema permet repensar fins i tot els noms que fem servir per descriure estils existents.<\/p>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6a5bc7ef118ab&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6a5bc7ef118ab\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"640\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on--pointerdown=\"actions.preloadImage\" data-wp-on--pointerenter=\"actions.preloadImageWithDelay\" data-wp-on--pointerleave=\"actions.cancelPreload\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" src=\"https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert-1280x640.webp\" alt=\"\" class=\"wp-image-20796\" title=\"\" srcset=\"https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert-1280x640.webp 1280w, https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert-768x384.webp 768w, https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert-320x160.webp 320w, https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert-1536x768.webp 1536w, https:\/\/troposfera.xyz\/wp-content\/uploads\/2026\/06\/relation-diabolo-space-blog-troposfera-xyz-by-didac-gilabert.webp 1600w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\tdata-wp-bind--aria-label=\"state.thisImage.triggerButtonAriaLabel\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.thisImage.buttonRight\"\n\t\t\tdata-wp-style--top=\"state.thisImage.buttonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">El que fa \u00fatil el sistema \u00e9s que, a partir d&#8217;unes poques variables, el nombre de combinacions possibles creix r\u00e0pidament. Amb les taules que he desenvolupat per al di\u00e0bolo, les masses, les boles i els anells, una sola entrada amb quatre par\u00e0metres, l&#8217;orientaci\u00f3 de l&#8217;objecte, la direcci\u00f3 del moviment, la posici\u00f3 del cos i el tipus d&#8217;agafada, genera m\u00e9s de 52.000 combinacions entre llen\u00e7aments corporals i recollides corporals. La majoria d&#8217;aquestes combinacions ning\u00fa les ha provat mai, i per aix\u00f2 les taules s\u00f3n una eina de recerca, un lloc on agafar-se per descobrir figures que el cos encara no coneix.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El cos hum\u00e0 \u00e9s sim\u00e8tric respecte als plans X i Z, cosa que genera propietats espec\u00edfiques en els llan\u00e7aments que creuen aquests plans. Una massa que creua el pla X arriba plana fins i tot quan la notaci\u00f3 indica una rotaci\u00f3 completa, perqu\u00e8 la simetria del cos absorbeix part de la rotaci\u00f3. Entendre on el sistema genera aquests efectes forma part del treball, i \u00e9s precisament en aquests casos on la notaci\u00f3 ajuda a anticipar el que passar\u00e0 abans de provar-ho.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En la pr\u00e0ctica, el proc\u00e9s \u00e9s lineal: recorro les taules de dalt a baix passant per totes les possibilitats i marco les que em semblen interessants. Despr\u00e9s combino els llen\u00e7aments que m&#8217;han agradat amb les recollides que m&#8217;han agradat. Fer la combinat\u00f2ria completa de totes les recollides amb tots els llen\u00e7aments seria inviable, per\u00f2 passar per totes les opcions una per una \u00e9s el que permet que res quedi fora del radar per desconeixement. Hi ha figures que trobo aix\u00ed que d&#8217;una altra manera no hauria ni imaginat, perqu\u00e8 el cos t\u00e9 tend\u00e8ncia a repetir el que ja sap i el sistema obliga a sortir d&#8217;aquest circuit.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El sistema va n\u00e9ixer amb el di\u00e0bolo i el vaig extrapolar a la resta de props perqu\u00e8 la l\u00f2gica \u00e9s la mateixa: el que canvia \u00e9s l&#8217;anatomia de cada objecte i les propietats espec\u00edfiques que en deriven. Les boles no tenen orientaci\u00f3 rellevant perqu\u00e8 s\u00f3n esf\u00e8riques, mentre que les masses i els anells tenen tres posicions clares en l&#8217;espai i cadascuna genera un comportament diferent en creuar els plans de simetria del cos. Documentar aquestes difer\u00e8ncies \u00e9s el que fan les taules de cada prop.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les taules es poden <a href=\"https:\/\/store.troposfera.xyz\/products\/diabolo-siteswap-transition-cards\/\">descarregar a la store de troposfera.xyz<\/a> de forma gratu\u00efta, o amb una donaci\u00f3 si es vol donar suport al projecte. La documentaci\u00f3 t\u00e8cnica de cada prop, amb els dibuixos de les orientacions XYZ i les combinacions espec\u00edfiques, la trobareu al <a href=\"https:\/\/labs.troposfera.xyz\/jugglingresearch\/\">Juggling Research<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Des que investigo amb el di\u00e0bolo, una de les preguntes que torna \u00e9s com descriure el que passa amb prou precisi\u00f3 per poder-ho repetir, variar i ensenyar. La notaci\u00f3 de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":20815,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}","_EventAllDay":false,"_EventTimezone":"","_EventStartDate":"","_EventEndDate":"","_EventStartDateUTC":"","_EventEndDateUTC":"","_EventShowMap":false,"_EventShowMapLink":false,"_EventURL":"","_EventCost":"","_EventCostDescription":"","_EventCurrencySymbol":"","_EventCurrencyCode":"","_EventCurrencyPosition":"","_EventDateTimeSeparator":"","_EventTimeRangeSeparator":"","_EventOrganizerID":[],"_EventVenueID":[],"_OrganizerEmail":"","_OrganizerPhone":"","_OrganizerWebsite":"","_VenueAddress":"","_VenueCity":"","_VenueCountry":"","_VenueProvince":"","_VenueState":"","_VenueZip":"","_VenuePhone":"","_VenueURL":"","_VenueStateProvince":"","_VenueLat":"","_VenueLng":"","_VenueShowMap":false,"_VenueShowMapLink":false,"footnotes":""},"categories":[260],"tags":[],"landing_loop":[],"location":[],"project":[274,284,457],"class_list":["post-20787","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tutorials","project-labs","project-juggling-research","project-sol"],"_links":{"self":[{"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/posts\/20787","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/comments?post=20787"}],"version-history":[{"count":13,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/posts\/20787\/revisions"}],"predecessor-version":[{"id":20818,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/posts\/20787\/revisions\/20818"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/media\/20815"}],"wp:attachment":[{"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/media?parent=20787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/categories?post=20787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/tags?post=20787"},{"taxonomy":"landing_loop","embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/landing_loop?post=20787"},{"taxonomy":"location","embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/location?post=20787"},{"taxonomy":"project","embeddable":true,"href":"https:\/\/troposfera.xyz\/es\/wp-json\/wp\/v2\/project?post=20787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}