cube root of 2 | Delian problem

The number 2^(1/3) = 2^(1/3) (the cube root of 2) which is to be constructed in the cube duplication problem. This number is not a Euclidean number although it is an algebraic number of third degree. It has decimal digits 1.25992104989... (OEIS A002580). Its continued fraction is [1, 3, 1, 5, 1, 1, 4, 1, 1, 8, 1, 14, 1, ...] (OEIS A002945).

cube | cube duplication | cube root | geometric construction | geometric problems of antiquity | Pythagoras's constant