{"product_id":"swoopet-brachistochrone-pixel-sticker","title":"Swoopet – Brachistochrone Physics Sticker","description":"\u003cp\u003eMeet Swoopet, a rolling ball who knows the shortest path is not always the fastest. Johann Bernoulli posed the brachistochrone in 1696; the answer is a cycloid that drops steeply first. For a 1 m wheel radius, the descent takes about 1.0 s from any starting point. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"2\" × 2\" \/ White","offer_id":50658857418855,"sku":"21273130143745318469","price":4.99,"currency_code":"USD","in_stock":true},{"title":"3\" × 3\" \/ White","offer_id":50658857451623,"sku":"28467760279832114938","price":6.99,"currency_code":"USD","in_stock":true},{"title":"4\" × 4\" \/ White","offer_id":50658857484391,"sku":"12361131845402441707","price":8.99,"currency_code":"USD","in_stock":true},{"title":"6\" × 6\" \/ White","offer_id":50658857517159,"sku":"27063123533536799864","price":11.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/01_clean_80fa9344-1180-42e1-af1f-4fad7bab7c06.jpg?v=1792806222","url":"https:\/\/pixelatedphysics.com\/products\/swoopet-brachistochrone-pixel-sticker","provider":"Pixelated Physics","version":"1.0","type":"link"}