{"version":"1.0","type":"rich","title":"Yet more spirographs \u27bf","description":"Hypotrochoids based on formulas in https:\/\/en.wikipedia.org\/wiki\/Hypotrochoid I got to when Google threw this image at me: https:\/\/www.pinterest.com\/pin\/parametric-equations--363525001150121862\/\r\n\r\nVar a, b and c can be set using the _num(erator) \/ _den(ominator) sliders.\r\n\r\nIn that image:\r\n[1,7\/13,1\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=13,c_num=1,c_den=13\r\n[1,7\/13,5\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=13,c_num=5,c_den=13\r\n[1,7\/13,7\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=13,c_num=7,c_den=13\r\n[1,7\/13,15\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=13,c_num=15,c_den=13\r\n\r\n[1,7\/5,1\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=5,c_num=1,c_den=13\r\n[1,7\/5,5\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=5,c_num=5,c_den=13\r\n[1,7\/5,7\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=5,c_num=7,c_den=13\r\n[1,7\/5,15\/13] https:\/\/turtletoy.net\/turtle\/f4523cc712#a_num=1,a_den=1,b_num=7,b_den=5,c_num=15,c_den=13\r\n\r\n(When a drawing seems not to have smooth curves increase stepsPerT)\r","author_name":"Jurgen","author_url":"https:\/\/turtletoy.net\/user\/Jurgen","provider_name":"Turtletoy","provider_url":"https:\/\/turtletoy.net\/","license":{"fullName":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International","shortName":"CC BY-NC-SA 4.0","url":"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/"},"thumbnail_url":"https:\/\/turtletoy.net\/thumbnail\/f4523cc712.jpg","thumbnail_width":512,"thumbnail_height":512,"html":"<iframe src=\"https:\/\/turtletoy.net\/embed\/f4523cc712\" width=\"1025px\" height=\"554px\" style=\"max-width: 100%; border: 0\" sandbox=\"allow-scripts allow-top-navigation allow-top-navigation-by-user-activation allow-forms allow-popups allow-same-origin\"><\/iframe>","width":1025,"height":554}