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"In mathematics, the cake number, denoted by Cn, is the maximum number of regions into which a 3-dimensional cube can be partitioned by exactly n planes. The cake number is so-called because one may imagine each partition of the cube by a plane as a slice made by a knife through a cube-shaped cake. The values of Cn for increasing are given by The cake numbers are the 3-dimensional analogue of the 2-dimensional lazy caterer's sequence; the difference between successive cake numbers also gives the lazy caterer's sequence. Animation showing the cutting planes required to cut a cake into 15 pieces with 4 slices (representing the 5th cake number). Fourteen of the pieces would have an external surface, with one tetrahedron cut out of the middle. The only cake number which is prime is 2. General formula If n! denotes the factorial, and we denote the binomial coefficients by : {n \choose k} = \frac{n!}{k! \, (n-k)!} , and we assume that n planes are available to partition the cube, then the number is: : C_n = {n \choose 3} + {n \choose 2} + {n \choose 1} + {n \choose 0} = \tfrac{1}{6}\left(n^3 + 5n + 6\right). References Mathematical optimization "
"Iron & Silk is a 1990 Canadian action comedy-drama based on the eponymous book by American writer Mark Salzman. It details his journey to China after college to study Chinese wu shu, better known in the west as kung fu, and to teach English. Though not trained as an actor, Salzman starred as himself, as did Pan Qingfu, who claimed no one else could portray him on film. Salzman's experiences occurred in Changsha, Hunan, though the film was shot in Hangzhou, Zhejiang. The film was directed by Shirley Sun, and was the editorial debut for Geraldine Peroni. Plot Mark Franklin arrives in Hangzhou, China to teach Chinese teachers the English language. He learns the refinements of correct behavior among Chinese people, makes friends with his pupils, falls in love with the young doctor Ming, learns wushu (Chinese martial arts) from the famous teacher Pan... but also learns about political repression, especially when he's forbidden contact with some of his friends. Cast =Main cast= * Mark Salzman as Mark Franklin * Vivian Wu as Ming * Pan Qingfu as himself, a martial arts master * Jeanette Lin Tsui as Teacher Hei * Sun Xudong as Sinbad =Others= * To Funglin as Old Sheep * Hu Yun as Fatty Du * Dong Hangcheng as Teacher Cai * Lu Zhiquan as Teacher Li * Xiao Ying as April * Yang Xiru as Dr. Wang * Zhuang Genyuan as Teacher Xu * Jiang Xihong as Teacher Zhang * He Saifei as the Yue opera performer who played Madame White Snake * Xia Saili (He Saifei's sister) as the Yue opera performer who played Xu Xian * Chen Huiling as the Yue opera performer who played Xiaoqing Reception The movie gained mostly positive reviews, ranging from a "modest charmer; a true sleeper" to "unsophisticated [and] bittersweet". The movie was met with some criticism, ranging from "an unhappy teenager's fantasy of finally fitting in" to "we're talking geekarama here". References External links * Films based on biographies American films based on actual events American martial arts films Wushu films 1990 drama films American coming-of-age films American films American drama films English-language films Films set in Hangzhou Films shot in China Columbia Pictures films 1990 martial arts films 1991 drama films "
"Andrew Kenneth "Drew" Morphett (22 August 1948 – 25 August 2017) was an Australian sports broadcaster. Life Morphett started his career as a sport specialist trainee in Sydney in 1966 at 18 years of age. Over a long career he worked on both ABC radio and television, most notably commentating Australian rules football (the VFL and AFL), but also tennis, cricket, basketball, golf (including a British Open), lawn bowls and six Olympic Games, mainly commentating cycling, hockey and diving. He was the host of ABC TV's weekly VFL show The Winners for ten years during the 1980s. He joined the Seven Network in 1988 and commentated Australian rules football matches until he was discharged by Seven after the 2000 season. He worked for ABC radio as part of their ABC Grandstand team until being made redundant in 2014. He continued to commentate football matches on radio until his death in 2017. Drew was awarded an Order of Australia Medal as part of the 2014 Australia Day honours. Death On 26 August 2017, it was announced that Morphett had died the previous evening while watching AFL football on television at his Pakenham residence in outer Melbourne. He was married to Karen 'Kaz' Morphett. References External links * Presenters, ABC Grandstand, ABC Local Radio * The Backyard, Drew Morphett, ABC * A few drinks with Drew Morphett, Inside Sport 1948 births 2017 deaths Australian radio personalities Australian television presenters Australian rules football commentators Australian cricket commentators Golf writers and broadcasters Australian tennis commentators Recipients of the Medal of the Order of Australia "