{"product_id":"fivefold-tumbler-growth-rings-teal","title":"Fivefold Tumbler: Growth Rings — Teal","description":"\u003cp\u003e\u003cstrong\u003eA Penrose tiling, three generations deep.\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 takes a familiar fivefold never-repeating pattern and makes a new one. Cut every wide and narrow diamond along a few set lines, and the pieces, scaled down by the golden ratio, join up with their neighbors' pieces into smaller wide and narrow diamonds: a finer tiling of the same sort. Do it again and again and the pattern gets finer and finer.\u003c\/p\u003e\n\u003cp\u003eLook closely at any large diamond and you will find the same tiling, one size smaller: chambers within chambers.\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":67847345668230,"sku":"SH10300217565233757-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Fivefold_Tumbler_Growth_Rings_Teal_-_front_31446b07-c8a2-47ca-ac8e-541187044274.jpg?v=1793403352","url":"https:\/\/shop.zenzicube.com\/products\/fivefold-tumbler-growth-rings-teal","provider":"Zenzicube","version":"1.0","type":"link"}