A Procedure to Compute the Digit Sequence of a Square Root
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This Demonstration visualizes a procedure for generating the base-2 digit sequence of a square root. From A New Kind of Science, p. 141: "To find , start by setting and . Then at each step apply the rule . The result is that the base-2 digits of turn out to correspond exactly to the digits of . If is not between 1 and 4, it must be multiplied or divided by an appropriate power of 4 before starting the procedure."
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Contributed by: Abigail Nussey (March 2011)
Open content licensed under CC BY-NC-SA
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