{"id":930,"date":"2015-01-07T06:00:36","date_gmt":"2015-01-07T04:00:36","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=930"},"modified":"2016-05-01T19:50:03","modified_gmt":"2016-05-01T17:50:03","slug":"varios-cuadrados-encajados-rotando","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/varios-cuadrados-encajados-rotando\/","title":{"rendered":"Varios cuadrados encajados rotando"},"content":{"rendered":"<h4>Enunciado<\/h4>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   cuadrados :: Int -> Float -> Picture\n<\/pre>\n<p>de forma que (cuadrados n) sea la animaci\u00f3n obtenida rotando n cuadrados encajados como se muestra a continuaci\u00f3n.<\/p>\n<p><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/o0Qu7rVl9us\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p><strong>Nota:<\/strong> Escribir las soluciones usando la siguiente plantilla<\/p>\n<pre lang=\"haskell\">\nimport Graphics.Gloss\nimport System.IO\n    \nmain :: IO ()\nmain = do\n  hSetBuffering stdout NoBuffering\n  putStr \"Introduce el numero de cuadrados [1..10]: \"\n  n <- readLn\n  animate (InWindow (show n ++ \" cuadrados encajados rotando\" ) \n                    (600,600) (20,20)) white (cuadrados n)\n\ncuadrados :: Int -> Float -> Picture\ncuadrados n t = undefined\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Graphics.Gloss\nimport System.IO\n    \nmain :: IO ()\nmain = do\n  hSetBuffering stdout NoBuffering\n  putStr \"Introduce el numero de cuadrados [1..10]: \"\n  n <- readLn\n  animate (InWindow (show n ++ \" cuadrados encajados rotando\" ) \n                    (600,600) (20,20)) white (cuadrados n)\n\n-- 1\u00aa soluci\u00f3n (por comprensi\u00f3n):\ncuadrados :: Int -> Float -> Picture\ncuadrados n t = \n    pictures [rotate (6*(fromIntegral n)*t) $ \n              scale (r^n) (r^n) $ rotate (g n) $ cuadrado | n <- [0..n-1]]\n    where cuadrado        = rectangleWire 400 400\n          g n | even n    = 0\n              | otherwise = 45\n          r               = 1 \/ sqrt 2\n\n-- 2\u00aa soluci\u00f3n (por recursi\u00f3n):\ncuadrados2 :: Int -> Float -> Picture\ncuadrados2 1 _ = rectangleWire 500 500\ncuadrados2 n t = \n    pictures [rectangleWire 500 500,\n              rotate (45+10*t) $ \n              scale (1\/sqrt 2) (1\/sqrt 2) (cuadrados2 (n-1) t)]\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Definir la funci\u00f3n cuadrados :: Int -> Float -> Picture de forma que (cuadrados n) sea la animaci\u00f3n obtenida rotando n cuadrados encajados como se muestra a continuaci\u00f3n. Nota: Escribir las soluciones usando la siguiente plantilla import Graphics.Gloss import System.IO main :: IO () main = do hSetBuffering stdout NoBuffering putStr \u00abIntroduce el numero&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[7],"tags":[229,231,230,233,240,180,234,236,232],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/930"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=930"}],"version-history":[{"count":6,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/930\/revisions"}],"predecessor-version":[{"id":933,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/930\/revisions\/933"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}