O quadrado mágico de Benjamin Franklin

Benjamin Franklin (1706-1790) foi jornalista, cientista, inventor, homem de estado e diplomata. (...) Benjamin Franklin era um entusiasta de quadrados mágicos. Chegou mesmo a criar os seus próprios quadrados. O mais conhecido é o quadrado 8 por 8 apresentado na imagem. Numa carta publicada em 1769, Franklin refere: "Na minha juventude, divertia-me a construir quadrados mágicos, de modo a que a soma dos números de cada linha, de cada coluna e de cada uma das duas diagonais principais fosse sempre a mesma; com o passar do tempo, conseguia criar quadrados mágicos, de tamanho razoável, tão depressa quanto conseguia escrever os números nas suas linhas e colunas; mas, por não estar totalmente satisfeito com estes quadrados, que eram demasiado fáceis, impus a mim mesmo o desafio de construir outro tipo de quadrados mágicos, que apresentassem propriedades mais ricas e que constituíssem, assim, um maior estímulo à curiosidade." Em relação ao quadrado mágico da imagem, são utilizados todos os números naturais, do 1 ao 8x8=64, uma e uma só vez. Além disso, a soma dos números de cada linha e de cada coluna é sempre igual a 260, a constante mágica. Existem muitas outras formas de obter o valor 260 (...)

A sea urchin (Diadema africanum Rodriguez et al., 2013) and a pipe fish (Syngnathus phlegon Risso, 1827) : two new records for the Azores

Maciel & Costa (2010) reported the presence of 17 species of costal sea urchins (Echinoidea) in the Azores, while Porteiro et al. (2010) reported six species of pipefishes (Syngnathidae) for the area. During SCUBA diving at Santa Maria Island, the first author detected a sea urchin and a pipe fish which are new to the marine fauna of the Azores.

About hazing In higher education

Not a year goes by that we don't hear of another hazing scandal in a higher education institution. Many researchers took interest in this issue in order to understand its causes and consequences. They provided definitions and lead to prevent it. We found hazing in many social groups around the world, with different names, and under specific forms. This paper aims to better understand hazing and its actors, with a specific focus on hazing in higher education. We presented three definitions to offer several perspectives on hazing, and facilitate its apprehension. Our method was to analyze the relevant scientific literature with the intention of reflecting on its roots and representation among individuals. Results are an exposition of motivations from hazing's actors, recommendations about how to define it and how to prevent derivations. Our main conclusions assume hazing is usually depicted as a deviant behavior, but it would appear to be a norm. Also, its core purpose would be the progression from newcomer to a group member. A lack of structure or meaning could lead to its misuse and facilitate outrageous events. In higher education, hazing seems to be used as a tool to integrate freshmen in their new institutional world. Scandals including violence, sexual and alcohol abuse could be a symptom of something deeper from hazing's environment.