{"id":1228,"date":"2012-02-22T17:04:00","date_gmt":"2012-02-22T17:04:00","guid":{"rendered":"https:\/\/www.shapeways.com\/blog\/archives\/1228-the-magic-mathematical-formula-that-explains-why-we-can-3d-print-any-physical-object.html"},"modified":"2022-09-23T10:11:30","modified_gmt":"2022-09-23T14:11:30","slug":"the-magic-mathematical-formula-that-explains-why-we-can-3d-print-any-physical-object","status":"publish","type":"post","link":"https:\/\/www.shapeways.com\/blog\/the-magic-mathematical-formula-that-explains-why-we-can-3d-print-any-physical-object","title":{"rendered":"The Magic Mathematical Formula that Explains Why We Can 3D Print Any Physical Object"},"content":{"rendered":"

In theory, of course there are material restrictions but any physical object can be described using Fubini\u2019s Theorem<\/a> and can therefore be 3D printed. My handsome Aussie friend over at 3D Printing is the Future<\/a> consulted Professor Alan Branford of Flinders University to get the lowdown<\/a>.<\/p>\n

“He said that Fubini\u2019s Theorem states that an object of n<\/strong> dimensions can be represented as a spectrum of layers of shapes of (n-1)-dimensional <\/strong> layers.<\/em><\/p>\n

This means that a 3 dimensional shape (any shape in the real world) can be represented as layers of 2 dimensional shapes.” <\/em><\/p><\/blockquote>\n

For the full extract of the conversation head over to 3D Printing is the Future<\/a> to eavesdrop on the witty banter.<\/p>\n

<\/p>\n

There are of course also mathematical objects that can ONLY be produced using 3D printing, or as we like to say here at Shapeways, making the impossible possible<\/p>\n

or<\/p>\n

Shapeways = (impossible – im) x <\/strong>\u221e<\/span><\/strong><\/sup><\/big><\/p>\n","protected":false},"excerpt":{"rendered":"

In theory, of course there are material restrictions but any physical object can be described using Fubini\u2019s Theorem and can therefore be…<\/p>\n","protected":false},"author":12,"featured_media":12235,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[510],"tags":[1541,944],"class_list":["post-1228","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3d-printing-industry","tag-mathematical-art","tag-whats-hot"],"thumbnail":"https:\/\/www.shapeways.com\/blog\/wp-content\/uploads\/2012\/02\/fubrinis1-625x698.gif","yoast_head":"\nThe Magic Mathematical Formula that Explains Why We Can 3D Print Any Physical Object - Shapeways Blog<\/title>\n<meta name=\"description\" content=\"In theory, of course there are material restrictions but any physical object can be described using Fubini\u2019s Theorem and can therefore be 3D\" \/>\n<meta name=\"robots\" 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