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| Keywords: PascalTriangleAnimated2.gif Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format x + y <sup>n</sup> The formation also demonstrates many other mathematical properties such as listing the entire set of the natural numbers in the first diagonal rows This phenomenon is named after Blaise Pascal in the western world however was studied in detail before his time in many Asian countries and is alternately referred to as Khayyam's triangle after the Persian Omar Khayyám Each number is the sum of the two directly above it This animation shows this relation in the construction of the first five rows however the pattern applies for an infinite range This version has the 1 cells already filled in and includes actual animation to better demonstrate the construction own 2008-04-18 Hersfold on the English Wikipedia left 150px Animated GIF Pascal's triangle | ||||
