{"product_id":"conway-loops-tumbler-spring-lilac","title":"Conway Loops Tumbler — Spring Lilac","description":"\u003cp\u003e\u003cstrong\u003eTwo tile shapes, one hidden drawing.\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\u003eRoger Penrose found two shapes, a kite and a dart, that can cover a floor forever without the pattern ever repeating. John Conway noticed that if each tile carries two small arcs, the arcs flow across the seams into smooth curves. The tiles disappear, and loops and flowers with fivefold symmetry appear in their place.\u003c\/p\u003e\n\u003cp\u003eThis pattern shows just one of these arcs: its loops make five-petaled flowers and five-pointed stars, each colored by its size.\u003c\/p\u003e\n\u003cp\u003eOrder without repetition seemed impossible in nature until 1982, when Dan Shechtman found it in a real metal alloy: a quasicrystal. The discovery earned him the 2011 Nobel Prize in Chemistry.\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\u003eWith connections to geometry, computation and the structure of materials, this pattern will resonate with mathematicians, computer scientists, physicists, materials scientists, architects 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":67812088316038,"sku":"SH10282267974509811-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Conway_Loops_Tumbler_Spring_Lilac_-_front.jpg?v=1793393048","url":"https:\/\/shop.zenzicube.com\/products\/conway-loops-tumbler-spring-lilac","provider":"Zenzicube","version":"1.0","type":"link"}