{"title":"Home \u0026 Desk","description":"\u003cp\u003eBring a little wonder to your desk, lab bench or nightstand. Explore tumblers and jewelry dishes featuring mathematical designs, each with a story to discover.\u003c\/p\u003e","products":[{"product_id":"sierpinski-triangles-tumbler-trio-bright-lichen","title":"Sierpinski Triangles Tumbler: Trio — Bright Lichen","description":"\u003cp\u003e\u003cstrong\u003eTriangles inside triangles, all the way down.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a triangle and cut a smaller triangle out of its middle; three smaller triangles remain. Do the same to each of those, then again, without end. Every corner of the result holds a half-sized copy of the whole, meaning that the small details echo the larger design.\u003c\/p\u003e\n\u003cp\u003eWacław Sierpiński described this shape in 1915, and it became one of the first fractals mathematicians learned to recognize.\u003c\/p\u003e\n\u003cp\u003eBut its beauty was recognized long before its mathematics had a name. Centuries before Sierpiński described it mathematically, medieval craftspeople laid a version of this pattern into the mosaic floor of Italy’s Anagni Cathedral.\u003c\/p\u003e\n\u003cp\u003eThis pattern has a practical side, too: engineers use its nested triangles to make antennas that pick up signals at different frequencies.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67812057874566,"sku":"SH10282422875317294-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Triangles_Tumbler_Trio_Bright_Lichen_-_front.jpg?v=1793392830"},{"product_id":"sierpinski-triangles-tumbler-duo-bordeaux","title":"Sierpinski Triangles Tumbler: Duo — Bordeaux","description":"\u003cp\u003e\u003cstrong\u003eTriangles inside triangles, all the way down.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a triangle and cut a smaller triangle out of its middle; three smaller triangles remain. Do the same to each of those, then again, without end. Every corner of the result holds a half-sized copy of the whole, meaning that the small details echo the larger design.\u003c\/p\u003e\n\u003cp\u003eWacław Sierpiński described this shape in 1915, and it became one of the first fractals mathematicians learned to recognize.\u003c\/p\u003e\n\u003cp\u003eBut its beauty was recognized long before its mathematics had a name. Centuries before Sierpiński described it mathematically, medieval craftspeople laid a version of this pattern into the mosaic floor of Italy’s Anagni Cathedral.\u003c\/p\u003e\n\u003cp\u003eThis pattern has a practical side, too: engineers use its nested triangles to make antennas that pick up signals at different frequencies.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67812059316358,"sku":"SH10282422726886690-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Triangles_Tumbler_Duo_Bordeaux_-_front.jpg?v=1793392867"},{"product_id":"sierpinski-triangles-tumbler-trio-blue-gray","title":"Sierpinski Triangles Tumbler: Trio — Blue Gray","description":"\u003cp\u003e\u003cstrong\u003eTriangles inside triangles, all the way down.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a triangle and cut a smaller triangle out of its middle; three smaller triangles remain. Do the same to each of those, then again, without end. Every corner of the result holds a half-sized copy of the whole, meaning that the small details echo the larger design.\u003c\/p\u003e\n\u003cp\u003eWacław Sierpiński described this shape in 1915, and it became one of the first fractals mathematicians learned to recognize.\u003c\/p\u003e\n\u003cp\u003eBut its beauty was recognized long before its mathematics had a name. Centuries before Sierpiński described it mathematically, medieval craftspeople laid a version of this pattern into the mosaic floor of Italy’s Anagni Cathedral.\u003c\/p\u003e\n\u003cp\u003eThis pattern has a practical side, too: engineers use its nested triangles to make antennas that pick up signals at different frequencies.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67812070621318,"sku":"SH10282422228500915-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Triangles_Tumbler_Trio_Blue_Gray_-_front.jpg?v=1793392904"},{"product_id":"sierpinski-triangles-tumbler-duo-charcoal","title":"Sierpinski Triangles Tumbler: Duo — Charcoal","description":"\u003cp\u003e\u003cstrong\u003eTriangles inside triangles, all the way down.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a triangle and cut a smaller triangle out of its middle; three smaller triangles remain. Do the same to each of those, then again, without end. Every corner of the result holds a half-sized copy of the whole, meaning that the small details echo the larger design.\u003c\/p\u003e\n\u003cp\u003eWacław Sierpiński described this shape in 1915, and it became one of the first fractals mathematicians learned to recognize.\u003c\/p\u003e\n\u003cp\u003eBut its beauty was recognized long before its mathematics had a name. Centuries before Sierpiński described it mathematically, medieval craftspeople laid a version of this pattern into the mosaic floor of Italy’s Anagni Cathedral.\u003c\/p\u003e\n\u003cp\u003eThis pattern has a practical side, too: engineers use its nested triangles to make antennas that pick up signals at different frequencies.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67812087955590,"sku":"SH10282330547879073-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Triangles_Tumbler_Duo_Charcoal_-_front.jpg?v=1793392940"},{"product_id":"conway-loops-tumbler-night-lilac","title":"Conway Loops Tumbler — Night 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":67812087988358,"sku":"SH10282268473545017-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_Night_Lilac_-_front.jpg?v=1793392975"},{"product_id":"conway-loops-tumbler-dusk-starscape","title":"Conway Loops Tumbler — Dusk Starscape","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":67812088053894,"sku":"SH10282268215621924-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_Dusk_Starscape_-_front.jpg?v=1793393016"},{"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"},{"product_id":"sierpinski-triangles-tumbler-trio-berry","title":"Sierpinski Triangles Tumbler: Trio — Berry","description":"\u003cp\u003e\u003cstrong\u003eTriangles inside triangles, all the way down.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a triangle and cut a smaller triangle out of its middle; three smaller triangles remain. Do the same to each of those, then again, without end. Every corner of the result holds a half-sized copy of the whole, meaning that the small details echo the larger design.\u003c\/p\u003e\n\u003cp\u003eWacław Sierpiński described this shape in 1915, and it became one of the first fractals mathematicians learned to recognize.\u003c\/p\u003e\n\u003cp\u003eBut its beauty was recognized long before its mathematics had a name. Centuries before Sierpiński described it mathematically, medieval craftspeople laid a version of this pattern into the mosaic floor of Italy’s Anagni Cathedral.\u003c\/p\u003e\n\u003cp\u003eThis pattern has a practical side, too: engineers use its nested triangles to make antennas that pick up signals at different frequencies.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67812088643718,"sku":"SH10282241733274584-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Triangles_Tumbler_Trio_Berry_-_front.jpg?v=1793393081"},{"product_id":"epicycle-scribe-ceramic-dish-star","title":"Epicycle Scribe Ceramic Dish: Star","description":"\u003cp\u003e\u003cstrong\u003eCircles riding on circles, drawing a shape.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eFix a small circle to the rim of a larger one and turn both, following a point on the smallest. Ancient astronomers used these epicycles to predict the wandering of the planets in the night sky. Centuries later, Joseph Fourier showed why they work so well: almost any repeating shape can be built by adding together circular motions of different sizes and speeds.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eStar.\u003c\/strong\u003e The five-pointed star, approximately. To get the lines and points exact you'd need an infinite number of circles. This one has twenty-one, so the points are softly rounded and the lines wobble a little.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThe circles that once tracked the planets are now Fourier analysis, the idea behind audio equalizers, MRI scanners and the compression in MP3s and JPEGs. Made for electrical and audio engineers, physicists, astronomers and anyone who loves finding hidden patterns.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67829117616262,"sku":"SH10299285432290956-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/2aa6ef52fbedf1dc641971d1c4b38525.png?v=1793462211"},{"product_id":"epicycle-scribe-ceramic-dish-heart","title":"Epicycle Scribe Ceramic Dish: Heart","description":"\u003cp\u003e\u003cstrong\u003eCircles riding on circles, drawing a shape.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eFix a small circle to the rim of a larger one and turn both, following a point on the smallest. Ancient astronomers used these epicycles to predict the wandering of the planets in the night sky. Centuries later, Joseph Fourier showed why they work so well: almost any repeating shape can be built by adding together circular motions of different sizes and speeds.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eHeart.\u003c\/strong\u003e A handful of turning circles, each at its own speed, draw a heart.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThe circles that once tracked the planets are now Fourier analysis, the idea behind audio equalizers, MRI scanners and the compression in MP3s and JPEGs. Made for electrical and audio engineers, physicists, astronomers and anyone who loves finding hidden patterns.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67829117911174,"sku":"SH10299285255341854-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/f48bab8c905c0e915a5ef7ca0cd6d262.png?v=1793462227"},{"product_id":"epicycle-scribe-ceramic-dish-four-leaf-clover","title":"Epicycle Scribe Ceramic Dish: Four-Leaf Clover","description":"\u003cp\u003e\u003cstrong\u003eCircles riding on circles, drawing a shape.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eFix a small circle to the rim of a larger one and turn both, following a point on the smallest. Ancient astronomers used these epicycles to predict the wandering of the planets in the night sky. Centuries later, Joseph Fourier showed why they work so well: almost any repeating shape can be built by adding together circular motions of different sizes and speeds.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eFour-Leaf Clover.\u003c\/strong\u003e Four leaves, each traced by the same chain of turning circles.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThe circles that once tracked the planets are now Fourier analysis, the idea behind audio equalizers, MRI scanners and the compression in MP3s and JPEGs. Made for electrical and audio engineers, physicists, astronomers and anyone who loves finding hidden patterns.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67829118107782,"sku":"SH10299285037581269-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/cf28d9871a2f1f94b021bbef61f381da.png?v=1793462242"},{"product_id":"epicycle-scribe-ceramic-dish-butterfly","title":"Epicycle Scribe Ceramic Dish: Butterfly","description":"\u003cp\u003e\u003cstrong\u003eCircles riding on circles, drawing a shape.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eFix a small circle to the rim of a larger one and turn both, following a point on the smallest. Ancient astronomers used these epicycles to predict the wandering of the planets in the night sky. Centuries later, Joseph Fourier showed why they work so well: almost any repeating shape can be built by adding together circular motions of different sizes and speeds.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eButterfly.\u003c\/strong\u003e Temple Fay’s butterfly curve from 1989.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThe circles that once tracked the planets are now Fourier analysis, the idea behind audio equalizers, MRI scanners and the compression in MP3s and JPEGs. Made for electrical and audio engineers, physicists, astronomers and anyone who loves finding hidden patterns.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67829118337158,"sku":"SH10299284863854393-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/a00410f3519bb9259b688957ce82db05.png?v=1793462257"},{"product_id":"epicycle-scribe-ceramic-dish-lemniscate-infinity","title":"Epicycle Scribe Ceramic Dish: Lemniscate Infinity","description":"\u003cp\u003e\u003cstrong\u003eCircles riding on circles, drawing a shape.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eFix a small circle to the rim of a larger one and turn both, following a point on the smallest. Ancient astronomers used these epicycles to predict the wandering of the planets in the night sky. Centuries later, Joseph Fourier showed why they work so well: almost any repeating shape can be built by adding together circular motions of different sizes and speeds.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eLemniscate Infinity.\u003c\/strong\u003e Jacob Bernoulli’s figure-eight from 1694, the curve behind the infinity sign.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThe circles that once tracked the planets are now Fourier analysis, the idea behind audio equalizers, MRI scanners and the compression in MP3s and JPEGs. Made for electrical and audio engineers, physicists, astronomers and anyone who loves finding hidden patterns.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67829118566534,"sku":"SH10299267244020171-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/f5c1f83ed1e73598551ca28628ff59c8.png?v=1793462272"},{"product_id":"peano-curve-tumbler-black-and-white","title":"Peano Curve Tumbler — Black \u0026 White","description":"\u003cp\u003e\u003cstrong\u003eThe first curve discovered that could fill a square.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eIn 1890 Giuseppe Peano startled mathematicians with a curve that passes through every point of a square: a line that fills an area. His curve cut the square into nine smaller squares, snaking through them in an S, repeating the same process again and again, forever.\u003c\/p\u003e\n\u003cp\u003eThis print shows a curve built on these rules at several levels of recursion.\u003c\/p\u003e\n\u003cp\u003eA year later David Hilbert found his own version with four squares instead of nine.\u003c\/p\u003e\n\u003cp\u003eComputers use space-filling curves like this one to store maps, images and databases because this process keeps neighboring things side by side.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eSpace-filling curves sit inside the software that runs maps and databases, keeping nearby places together in memory so searches stay fast. Made for data engineers, GIS analysts, software developers and computer scientists.\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":67832892293254,"sku":"SH10290571675078491-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Peano_Curve_Tumbler_Black_White_-_front_583e7f52-8d7b-424d-8851-d0c9554a44c7.jpg?v=1793393450"},{"product_id":"sierpinski-arrowhead-tumbler-black-and-white","title":"Sierpinski Arrowhead Tumbler — Black \u0026 White","description":"\u003cp\u003e\u003cstrong\u003eOne unbroken line that draws Sierpiński’s triangle.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eTake a straight line and replace it with three shorter ones, bent at sixty degrees like the first strokes of a zigzag. Do the same to each of those, turning alternately left and right, and keep going. The line never crosses itself, yet as the steps go on, it threads through every corner of Sierpiński’s triangle: the same lace as the rest of our Sierpiński range, but this time drawn in a single stroke.\u003c\/p\u003e\n\u003cp\u003eIt sits between a line and an area. Its fractal dimension is about 1.585, the same as the triangle it traces: more than a curve, less than a solid shape.\u003c\/p\u003e\n\u003cp\u003eThis print draws the line at several depths at once, so no two patches are the same.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eFractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.\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":67832892588166,"sku":"SH10290565042003966-V41033","price":50.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Sierpinski_Arrowhead_Tumbler_Black_White_-_front_dcdc9e03-1720-4ea5-bb02-dc3b6e6a2286.jpg?v=1793394017"},{"product_id":"ribbon-weaver-tumbler-snapdragon-black","title":"Ribbon Weaver Tumbler — Snapdragon Black","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":67847103119494,"sku":"SH09037396202318619-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_Snapdragon_Black_-_front.jpg?v=1793401754"},{"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"},{"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"},{"product_id":"planetary-epicycles-ceramic-dish-five-planets","title":"Planetary Epicycles Ceramic Dish: Five Planets","description":"\u003cp\u003e\u003cstrong\u003eThe planets’ real paths across the sky, drawn with two circles.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003ePlanet is Greek for wanderer. Against the stars, a planet drifts one way, stops, runs backwards for weeks or months, then turns forwards again. Ptolemy explained it with a small circle, the epicycle, riding on a large one. Later, Copernicus explained why it works: the small circle is the Earth’s own orbit, and seen from a moving Earth, every planet is two turning circles added together.\u003c\/p\u003e\n\u003cp\u003eEach loop is a retrograde, the moment the Earth overtakes the planet or the planet overtakes the Earth. The thin rings are the two circles that draw the pattern, and the colored stroke is the planet itself.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eFive Planets.\u003c\/strong\u003e Mercury, Venus, Mars, Jupiter and Saturn, the five planets visible with the naked eye. Venus loops 5 times in 8 years, Jupiter 11 times in 12, Mars 15 times in 32, Saturn 28 times in 29, and quick Mercury 41 times in 13.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThis is the real geometry of the night sky: the loops a planet traces as the Earth overtakes it, computed from each planet’s real orbital size and period. Made for astronomers, astrophysicists, physics teachers, planetarium people, stargazers with a telescope in the cupboard, and anyone who loves the history of science.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67847710965894,"sku":"SH10300460637606744-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Planetary_Epicycles_Ceramic_Dish_Five_Planets_-_table_ddb37de9-e039-4829-bc03-a643d1f8a117.jpg?v=1793462286"},{"product_id":"planetary-epicycles-ceramic-dish-earth-and-mars","title":"Planetary Epicycles Ceramic Dish: Earth and Mars","description":"\u003cp\u003e\u003cstrong\u003eThe planets’ real paths across the sky, drawn with two circles.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003ePlanet is Greek for wanderer. Against the stars, a planet drifts one way, stops, runs backwards for weeks or months, then turns forwards again. Ptolemy explained it with a small circle, the epicycle, riding on a large one. Later, Copernicus explained why it works: the small circle is the Earth’s own orbit, and seen from a moving Earth, every planet is two turning circles added together.\u003c\/p\u003e\n\u003cp\u003eEach loop is a retrograde, the moment the Earth overtakes the planet or the planet overtakes the Earth. The thin rings are the two circles that draw the pattern, and the colored stroke is the planet itself.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eEarth and Mars.\u003c\/strong\u003e Red Mars seen from blue-green Earth loops fifteen times in thirty-two years. Turn the question around, the Earth seen from Mars, and you get the same figure turned half a circle, looping at the same moments.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThis is the real geometry of the night sky: the loops a planet traces as the Earth overtakes it, computed from each planet’s real orbital size and period. Made for astronomers, astrophysicists, physics teachers, planetarium people, stargazers with a telescope in the cupboard, and anyone who loves the history of science.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67847711031430,"sku":"SH10300460451670721-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Planetary_Epicycles_Ceramic_Dish_Earth_and_Mars_-_table_2d37b399-6a76-424f-8f9d-84b5e11fe6b1.jpg?v=1793462303"},{"product_id":"planetary-epicycles-ceramic-dish-venus","title":"Planetary Epicycles Ceramic Dish: Venus","description":"\u003cp\u003e\u003cstrong\u003eThe planets’ real paths across the sky, drawn with two circles.\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003ePlanet is Greek for wanderer. Against the stars, a planet drifts one way, stops, runs backwards for weeks or months, then turns forwards again. Ptolemy explained it with a small circle, the epicycle, riding on a large one. Later, Copernicus explained why it works: the small circle is the Earth’s own orbit, and seen from a moving Earth, every planet is two turning circles added together.\u003c\/p\u003e\n\u003cp\u003eEach loop is a retrograde, the moment the Earth overtakes the planet or the planet overtakes the Earth. The thin rings are the two circles that draw the pattern, and the colored stroke is the planet itself.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eVenus.\u003c\/strong\u003e Eight Earth years are almost exactly thirteen Venus years, so Venus repeats its dance every eight years, looping five times: the ‘pentagram of Venus’ the Maya tracked in their calendars.\u003c\/p\u003e\n\u003ch3\u003eWho it’s for\u003c\/h3\u003e\n\u003cp\u003eThis is the real geometry of the night sky: the loops a planet traces as the Earth overtakes it, computed from each planet’s real orbital size and period. Made for astronomers, astrophysicists, physics teachers, planetarium people, stargazers with a telescope in the cupboard, and anyone who loves the history of science.\u003c\/p\u003e\n\u003cp\u003eFor a nightstand, dresser or desk, and an easy gift for anyone who loves a good idea.\u003c\/p\u003e\n\u003ch3\u003eThe Ceramic Dish\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eCeramic, with a wavy scalloped edge and a gold-colored rim.\u003c\/li\u003e\n\u003cli\u003eAbout 11.5 cm (4½ in) across and 1.7 cm (¾ in) deep: sized for keys, jewelry and the small things that gather on your desk.\u003c\/li\u003e\n\u003cli\u003eHand wash. The gold rim is not microwave or dishwasher safe.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e---\u003c\/p\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":67847711064198,"sku":"SH10300460266602391-V43637","price":47.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0719\/2998\/7206\/files\/Planetary_Epicycles_Ceramic_Dish_Venus_-_table_5e08ce38-b674-4383-b77f-a8cac21f66e7.jpg?v=1793462324"}],"url":"https:\/\/shop.zenzicube.com\/collections\/home-desk.oembed","provider":"Zenzicube","version":"1.0","type":"link"}