{"product_id":"usa-traced-by-4096-circles-fourier-series-map-poster","title":"USA, Traced by 4096 Circles | Fourier Series Map Poster","description":"\u003cp\u003e\u003cstrong\u003eUSA, drawn by 4096 rotating circles.\u003c\/strong\u003e The lower 48, every state line drawn by rotating circles.\u003c\/p\u003e\n\u003cp\u003eThis poster is the final frame of our animation: a Fourier series breaks the outline of USA (48 contiguous states) into\n4096 circles spinning at different speeds. Chained together, their tip traces the map with an approximation error\nbelow 0.1%. The two formulas at the bottom are the actual equations behind the drawing.\u003c\/p\u003e\n\u003cp\u003eWatch it being drawn on \u003ca href=\"https:\/\/www.instagram.com\/epicycle.studio\/\"\u003eInstagram\u003c\/a\u003e and \u003ca href=\"https:\/\/www.tiktok.com\/@epicycle.studio\"\u003eTikTok\u003c\/a\u003e: @epicycle.studio\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003ePremium matte paper, 200 gsm, smooth non-reflective finish, FSC-certified\u003c\/li\u003e\n\u003cli\u003ePrinted in high resolution (300+ dpi) close to you, in one of 80+ print locations worldwide\u003c\/li\u003e\n\u003cli\u003eFree shipping to the US, Canada, Europe, UK, Australia, Japan and Brazil. Frame not included\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Epicycle Studio","offers":[{"title":"30x45 cm \/ 12x18″","offer_id":67835410383170,"sku":"6785eb97-da9e-4966-8a84-869b9c165b8c","price":35.0,"currency_code":"USD","in_stock":true},{"title":"40x60 cm \/ 16x24″","offer_id":67835410415938,"sku":"0cc22e7a-3d48-480c-af82-4aa8e452621a","price":45.0,"currency_code":"USD","in_stock":true},{"title":"60x90 cm \/ 24x36″","offer_id":67835410448706,"sku":"6f68d093-d481-43a7-a990-3e3f1a14c1ad","price":60.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1042\/2927\/3922\/files\/capa_403.jpg?v=1792523749","url":"https:\/\/epicycleart.com\/products\/usa-traced-by-4096-circles-fourier-series-map-poster","provider":"Epicycle Studio","version":"1.0","type":"link"}