Consider a 3D table with rows, columns, and depths indexed by integers. In table cell (x,y,n) is the n-th term of the continued fraction representation of log(x)/log(y).

(Maybe terms are represented by spheres of logarithmic size, and you can fly through a grid of spheres in VR.)

Converting from base x to base y (radix conversion) often involves the value log(x)/log(y) and seeks fractions which approximate the value (future post).

Incidentally, in the expression log(x)/log(y), it does not matter if log is natural logarithm or logarithm by some other base: you get the same quotient regardless of base. It is a special expression.

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