{"product_id":"brachistochrone-pixel-hoodie","title":"Brachistochrone Hoodie – STRAIGHT IS NOT THE FASTEST | Pixelated Physics","description":"\u003cp\u003eIs the shortest path also the fastest? Not for a bead sliding under gravity. Johann Bernoulli’s 1696 brachistochrone problem is solved by a cycloid, the curve traced by a point on a rolling wheel. It drops steeply first, so the bead gains speed early. From rest to the cycloid’s lowest point, the straight line takes about 18.5% longer. Black pixel-art hoodie; equation, symbols and sources in the physics panel below.\u003c\/p\u003e","brand":"PixelatedPhysics","offers":[{"title":"Black \/ S","offer_id":50421764587623,"sku":"24731394537935184625","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ M","offer_id":50421764620391,"sku":"26643621871684859393","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ L","offer_id":50421764653159,"sku":"20600691601231671022","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ XL","offer_id":50421764685927,"sku":"17996986010299400271","price":54.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 2XL","offer_id":50421764718695,"sku":"57667320256468527355","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 3XL","offer_id":50421764751463,"sku":"15532920270122090619","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 4XL","offer_id":50421764784231,"sku":"92215811796117637843","price":59.99,"currency_code":"USD","in_stock":true},{"title":"Black \/ 5XL","offer_id":50421764816999,"sku":"15747786968734059457","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/03_flat_front.jpg?v=1791725005","url":"https:\/\/pixelatedphysics.com\/de\/products\/brachistochrone-pixel-hoodie","provider":"Pixelated Physics","version":"1.0","type":"link"}