{"version":9,"randomSeed":"41474ac4a84350fdaff718d94dd4ee1e","graph":{"viewport":{"xmin":-10,"ymin":-10,"xmax":10,"ymax":10}},"expressions":{"list":[{"type":"text","id":"3","text":"inspired by \"The Wallis product for pi, proved geometrically\" by 3Blue1Brown (2018) https://www.youtube.com/watch?v=8GPy_UMV-08"},{"type":"expression","id":"1","color":"#c74440","latex":"\\sin\\left(\\pi x\\right)"},{"type":"expression","id":"4","color":"#388c46","latex":"\\pi x\\left(1-x\\right)\\left(1+x\\right)"},{"type":"expression","id":"5","color":"#6042a6","latex":"\\pi x\\left(1-\\frac{x}{2}\\right)\\left(1-x\\right)\\left(1+x\\right)\\left(1+\\frac{x}{2}\\right)"},{"type":"expression","id":"6","color":"#000000","latex":"\\pi x\\left(1-\\frac{x}{3}\\right)\\left(1-\\frac{x}{2}\\right)\\left(1-x\\right)\\left(1+x\\right)\\left(1+\\frac{x}{2}\\right)\\left(1+\\frac{x}{3}\\right)"},{"type":"expression","id":"9","color":"#388c46","latex":"\\pi x\\left(\\prod_{n=1}^{10}\\left(1-\\frac{x}{n}\\right)\\right)\\left(\\prod_{n=1}^{10}\\left(1+\\frac{x}{n}\\right)\\right)"}]}}