Number Theory


The Computation of Certain Numbers Using a Ruler and Compass

Authors: Simon Plouffe

We present a method for computing some numbers bit by bit using only a ruler and compass, and illustrate it by applying it to arctan(X)/π. The method is a spigot algorithm and can be applied to numbers that are constructible over the unit circle and the ellipse. The method is precise enough to produce about 20 bits of a number, that is, 6 decimal digits in a matter of minutes. This is surprising, since we do no actual calculations.

Comments: 4 Pages.

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Submission history

[v1] 2014-09-10 03:45:11

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