{"product_id":"ribbon-weaver-tumbler-blue-grey","title":"Ribbon Weaver Tumbler — Blue Grey","description":"\u003cp\u003e\u003cstrong\u003eFive sets of parallel lines, one hidden tiling.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA never-repeating pattern: This pattern never settles into a repeating rhythm. Part of Fivefold, our family of never-repeating patterns built on the number five.\u003c\/em\u003e\u003c\/p\u003e\n\u003cp\u003eThis pattern begins with five sets of parallel lines, each running in a different direction like five striped sheets over top of one another.\u003c\/p\u003e\n\u003cp\u003eIn 1981, Dutch mathematician Nicolaas de Bruijn showed how to turn this grid into a never-repeating tiling. Let the crossings act as instructions so that each one becomes a diamond. The diamonds can connect to cover the plane without gaps or a repeating pattern.\u003c\/p\u003e\n\u003cp\u003eSometimes the lines cross to make a pentagon surrounded by a ring, and at other places you'll see a star. All of this variety grows from the same five sets of straight lines, yet the pattern as a whole never repeats.\u003c\/p\u003e\n\u003cp\u003eNever-repeating tilings are important puzzles in computation, too: no computer program can always tell whether a given set of tiles will cover an endless floor; a geometric version of the halting problem.\u003c\/p\u003e\n\u003cp\u003eEven simple rules can result in extraordinary complexity: Some tiles can fit together to cover a floor forever, but only if the pattern never repeats. This pattern is one beautiful example.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eDe Bruijn’s method is how physicists model quasicrystals: a slice through a higher-dimensional lattice, projected down. Made for physicists, chemists, materials scientists, crystallographers and designers.\u003c\/p\u003e\n\u003cp\u003eFor long workdays, lazy weekend mornings and every walk in between.\u003c\/p\u003e\n\u003ch3\u003eThe Tumbler\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e20 oz double-walled stainless steel, keeping drinks hot or cold for longer. About 18 cm (7 in) tall.\u003c\/li\u003e\n\u003cli\u003eClear slide lid; fits most car cup holders.\u003c\/li\u003e\n\u003cli\u003ePrinted all the way around.\u003c\/li\u003e\n\u003cli\u003eHand wash only.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cem\u003eEvery Zenzicube design is grown from a real piece of mathematics. Find more in the \u003ca href=\"https:\/\/www.zenzicube.com\"\u003eMathematical Menagerie\u003c\/a\u003e.\u003c\/em\u003e\u003c\/p\u003e","brand":"Zenzicube","offers":[{"title":"One Size","offer_id":67847103185030,"sku":"SH09037388830235285-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Ribbon_Weaver_Tumbler_Blue_Grey_-_front.jpg?v=1793401838","url":"https:\/\/shop.zenzicube.com\/products\/ribbon-weaver-tumbler-blue-grey","provider":"Zenzicube","version":"1.0","type":"link"}