{"id":8107,"date":"2016-03-27T20:36:38","date_gmt":"2016-03-27T23:36:38","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/?p=8107"},"modified":"2016-03-27T20:36:38","modified_gmt":"2016-03-27T23:36:38","slug":"progresso-gatomtrica","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2016\/03\/progresso-gatomtrica\/","title":{"rendered":"Progress\u00e3o Gatom\u00e9trica"},"content":{"rendered":"<p align=\"justify\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2016\/03\/miau-tanha.png\" data-rel=\"lightbox-image-0\" data-rl_title=\"\" data-rl_caption=\"\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter\" style=\"float: none;padding-top: 0px;padding-left: 0px;margin-left: auto;padding-right: 0px;margin-right: auto;border: 0px\" title=\"\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2016\/03\/miau-tanha_thumb.png\" alt=\"miau-tanha\" width=\"480\" height=\"480\" border=\"0\" \/><\/a><\/p>\n<p align=\"justify\">Em maio de 1875, o menino Rick, de 5\u00a0anos, passava f\u00e9rias com a m\u00e3e numa fazenda no estado de Massachussetts. Com saudade do cachorro Quiz, ele pediu que escrevessem ao pai para que lhe mandassem o mascote. A maioria dos pais simplesmente diria n\u00e3o, mas o pai de Rick, o arquiteto e paisagista <a href=\"https:\/\/en.wikipedia.org\/wiki\/Frederick_Law_Olmsted\">Frederick Law Olmsted [1822-1903]<\/a>, aproveitou a resposta para dar ao filho uma no\u00e7\u00e3o de progress\u00e3o geom\u00e9trica:<!--more--><\/p>\n<blockquote>\n<p align=\"justify\"><span style=\"font-family: Georgia\">Querido Rick,<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: Georgia\">Os gatos continuam a entrar no jardim, seis deles por dia, e Quiz os bota pra correr. Se eu mandasse Quiz pra botar as vacas pra correr longe das suas planta\u00e7\u00f5ezinhas de ruibarbo, ele n\u00e3o estaria aqui para espantar os gatos do jardim. Se seis gatos continuarem a chegar ao jardim a cada dia e nenhum for embora, numa semana seriam 42 gatos; em um m\u00eas, 180 e antes que voc\u00ea volte, em novembro, 1260 gatos. Se at\u00e9 novembro houvessem 1260 gatos no jardim, pelo menos metade deles teria gatinhos e se cada um que procriar tiver 6 gatinhos, logo haveria mais de 5000 gatos e filhotinhos no jardim. N\u00e3o haveria espa\u00e7o pra Rosanna estender as roupas a menos que ela tirasse todos eles do gramado e se fosse assim, eles teriam que se amontoar bem diante de casa. Nesse caso, eles formariam uma pilha t\u00e3o alta quanto o topo das minhas janelas. Com uma pilha de 5000 gatos e gatinhos, muitos dos quais pretos, na frente da minha janela do escrit\u00f3rio tudo ficaria t\u00e3o escuro que eu n\u00e3o conseguiria escrever. Al\u00e9m disso, aqueles que ficassem por baixo, especialmente os menores, seriam muito machucados pelos que ficariam por cima e eu espero que fariam tanto barulho que eu n\u00e3o conseguiria dormir. Sem dormir, eu n\u00e3o poderia trabalhar e sem trabalhar, n\u00e3o vou ter nenhum dinheiro e sem dinheiro n\u00e3o posso pagar sua passagem de volta e assim voc\u00ea e eu nunca mais nos ver\u00edamos. N\u00e3o, senhor! N\u00e3o posso mandar o Quiz e voc\u00ea vai ter que espantar as vacas sozinho se quiser colher os seus ruibarbos.<\/span><\/p>\n<p align=\"justify\"><span style=\"font-family: Georgia\">Do teu afei\u00e7oado pai.<\/span><\/p>\n<\/blockquote>\n<p align=\"justify\">Frederick Law Olsmsted foi um dos mais importantes paisagistas do s\u00e9culo XIX, sendo respons\u00e1vel pelo projeto do Central Park em Nova York, do Mont Royal Park em Montreal e dos parques do Capit\u00f3lio, em Washington. Como arquiteto, elaborou o plano urban\u00edstico de diversos <em>campi<\/em> universit\u00e1rios, entre os quais o da University of California, Berkeley; Stanford\u00a0University, University of Maine e University of Chicago.<\/p>\n<p align=\"justify\">Ao lado do irm\u00e3o John Charles, Rick \u2014 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Frederick_Law_Olmsted,_Jr.\">Frederick Olmsted Jr. [1870-1957]<\/a> \u2014 fundou a firma Olmsted Brothers. Rick tamb\u00e9m tornou-se paisagista e conservacionista, com trabalhos nos parques nacionais de Everglades e Yosemite, al\u00e9m de ser respons\u00e1vel pelo plano urban\u00edstico da Cornell University.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Em maio de 1875, o menino Rick, de 5\u00a0anos, passava f\u00e9rias com a m\u00e3e numa fazenda no estado de Massachussetts. Com saudade do cachorro Quiz, ele pediu que escrevessem ao pai para que lhe mandassem o mascote. A maioria dos pais simplesmente diria n\u00e3o, mas o pai de Rick, o arquiteto e paisagista Frederick Law [&hellip;]<\/p>\n","protected":false},"author":486,"featured_media":8110,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[17,46,50,79,203,238],"tags":[1626,1681,2777,3043],"class_list":["post-8107","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-animais","category-cartas","category-causos","category-curiosidades","category-matematica","category-numeros","tag-frederick-law-oimsted","tag-gatos","tag-progressao-geometrica","tag-sec-xix"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Progress\u00e3o Gatom\u00e9trica - hypercubic<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.blogs.unicamp.br\/hypercubic\/2016\/03\/progresso-gatomtrica\/\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Renato Pincelli\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2016\\\/03\\\/progresso-gatomtrica\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2016\\\/03\\\/progresso-gatomtrica\\\/\"},\"author\":{\"name\":\"Renato Pincelli\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#\\\/schema\\\/person\\\/c7be1e2811d061a75d3b4f4960eb53bd\"},\"headline\":\"Progress\u00e3o Gatom\u00e9trica\",\"datePublished\":\"2016-03-27T23:36:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2016\\\/03\\\/progresso-gatomtrica\\\/\"},\"wordCount\":475,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2016\\\/03\\\/progresso-gatomtrica\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/wp-content\\\/uploads\\\/sites\\\/249\\\/2016\\\/03\\\/miau-tanha_thumb-1.png\",\"keywords\":[\"Frederick Law OImsted\",\"gatos\",\"progress\u00e3o geom\u00e9trica\",\"s\u00e9c. 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