<Tr> <Td> </Td> <Td> This article is an orphan, as no other articles link to it . Please introduce links to this page from related articles; try the Find link tool for suggestions . (July 2015) </Td> </Tr> <P> Petals Around the Rose is a mathematical challenging puzzle in which the object is to work out the formula by which a number is derived from the roll of a set of five or six dice . It is often used as an exercise in inductive reasoning . The puzzle became popular in computer circles in the mid 1970s, particularly through an anecdote recounted in Personal Computing which depicts Bill Gates working out the solution in an airport . </P> <P> The puzzle is commonly presented as a game in which one person rolls the dice and announces a numerical result for each roll . Players are instructed to work out the pattern and announce the result of each roll themselves, but they are supposed to keep the formula for that result to themselves . </P> <P> The key to the formula is given by the name of the puzzle . The solution for a throw is found by counting the "petals around the rose", where a "rose" is any die face with a center dot . On a standard 6 - sided die, this corresponds to the three odd faces--1, 3, and 5 . The rose's "petals" are the dots which surround the center dot . There is no rose on the 2, 4, or 6 faces, so these count as zero . There are no petals on the 1 face, so it also counts as zero . There are two petals and four petals on the 3 and 5 faces, respectively . Thus, the solution to a given throw can be found by> Adding the total petals (or)> starting with 2 times the number of dice that land on the 3 face and adding to it 4 times the number of dice that lands on the 5 face . </P>

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